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Econ 522 Economics of Law Dan Quint Fall 2016 Lecture 15.

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1 Econ 522 Economics of Law Dan Quint Fall 2016 Lecture 15

2 Announcements HW3 is online, due Thursday night November 10
Second midterm Wednesday November 16 Interesting talk today

3 Monday… Monday, we wrapped up reasons to not enforce a contract…
Frustration of Purpose, Mutual Mistake But not Unilateral Mistake (and why) Saw another principle for identifying efficient contracts Efficient contracts typically unite knowledge and control And talked about remedies for breach Money damages: expectation damages, reliance damages, opportunity cost damages Specific Performance Peeveyhouse v Garland Coal – P’s wanted specific performance, G got away with paying very small damages

4 Party-designed remedies
Remedy for breach could be written directly into contract But common law courts don’t always enforce remedy terms Liquidated damages – party-specified damages that reasonably approximate actual harm done by breach Penalty damages – damages greater than actual harm done Civil law courts are generally willing to enforce penalty damages But common law courts often do not We mentioned that in some cases, the remedy for breach can be built directly into the contract Some contracts stipulate an amount of money that a party would have to pay if he were to breach the contract Others might specify a “performance bond” – an amount of money deposited with a third party, that would be paid to the promisee upon breach Or a contract might specify a different process for resolving any disputes, such as agreeing to submit to binding arbitration or some other process (This is what happens with disputes among diamond merchants, which are never resolved in court.) For some reason, courts are often hesitant to enforce remedy terms in contracts Rather than enforce the contract as written, courts sometimes set aside remedy clauses and impose their own remedies One type of remedy that courts will often refuse to enforce is penalty damages Penalty damages are damages that are greater than the actual harm that occurred (“Liquidated damages” refer to party-specified damages that are a reasonable estimate of the actual harm done by the breach; penalty damages are any damages that are greater than that) Civil law courts generally enforce penalty damages But common law courts often set aside penalty damages, and only enforce liquidated damages

5 Penalty Damages Peevyhouse v Garland Coal
Coal worth $70,000 Garland to pay $25,000 Restoration would cost $30,000 Liquidated damages are $300 Peevyhouses value restoration at $40,000 Penalty Damages Peevyhouse v Garland Coal Peevyhouses only wanted farm strip-mined if it would be restored to original condition after Suppose coal extracted worth $70,000 Garland paid $25,000 for rights to mine it Restoration work would cost $30,000 Diminution of value was $300 So liquidated damages would be $300 Suppose Peevyhouses got $40,000 of disutility from land being left in poor condition It’s unfortunate that penalty clauses are often not enforced, because they could be useful in some instances In particular, they could be helpful when one party to a contract places a high subjective value on performance Go back to coal mining example we saw earlier, Peevyhouse v Garland Coal The Peevyhouses only wanted their farm strip-mined if the land could be restored to its original condition They seemed to value the condition of their farm much more highly than “market value” Had they known the coal company would refuse to perform the restoration work, and instead only pay them damages, they might have refused to agree to the contract in the first place We can illustrate this with a simple dynamic game Suppose the coal extracted was worth $70,000 (net of costs), and Garland Coal agreed to pay $25,000 to mine it Recall that restoration work would have cost around $30,000, but damages for refusing to do it were assessed at $300 Suppose that the Peevyhouses got $40,000 of disutility from the land not being restored

6 Liquidated damages If damages limited to liquidated damages…
Coal worth $70,000 Garland to pay $25,000 Restoration would cost $30,000 Liquidated damages are $300 Peevyhouses value restoration at $40,000 Liquidated damages Peevyhouses Sign Don’t Garland Coal (0, 0) Restore property Don’t, pay damages (25,000, 15,000) (-14,700, 44,700) If damages limited to liquidated damages… Peevyhouses shouldn’t believe restorative work will get done So Peevyhouses better off refusing to sign Even though mining and restoring Pareto-dominates

7 Penalty damages If penalty clauses in contracts were enforceable…
Coal worth $70,000 Garland to pay $25,000 Restoration would cost $30,000 Liquidated damages are $300 Peevyhouses value restoration at $40,000 Penalty damages Peevyhouses Sign Don’t Garland Coal (0, 0) Restore property Don’t, pay penalty One way to address this in a contract would have been to write into the contract a $40,000 penalty in the event that the restorative work was not completed If this was enforceable, it would ensure that the mining company followed through with the restorative work That is, it would change the game to this: Now, the Peevyhouses are assured of getting their land restored So they’re happy to agree to the contract But, if common law courts don’t uphold penalty clauses, this won’t work Another example: suppose you’re hiring a contractor to build a house, and you place a very high value on its being completed by a particular date You are happy to pay $200,000 to get the house built, but insist on a $50,000 penalty if it’s not ready on that date Now suppose there are lots of contractors who could potentially build the house If you offer this deal to lots of them, the ones who accept are likely the ones who are most confident in their ability to finish the house on time Since you value this highly, this may be efficient And this may be the easiest (or the only) way for you to elicit this information If there is no penalty clause, every contractor will try to convince you he’s 100% certain he’ll finish on time But if someone accepts the $50,000 penalty clause, they’re probably pretty sure (25,000, 15,000) (25,000, 5,000) If penalty clauses in contracts were enforceable… Write contract with $40,000 penalty for leaving land unrestored Now restoration work would get done, so Peevyhouses willing to sign But if courts won’t enforce penalty damages, this won’t work

8 Penalty clauses Whatever you can accomplish with penalty clause, you could also accomplish with performance bonus I agree to pay $200,000 to get house built, but I want you to pay a $50,000 penalty if it’s late Alternatively: I agree to pay $150,000 for house, plus a $50,000 performance bonus if it’s completed on time Either way, you get $150,000 if house is late, $200,000 if on time Courts generally enforce bonus clauses, so no problem! So in some instances, penalty damages seem beneficial Especially if one party would not agree to a mutually beneficial contract without them So it seems like the fact that they’re not enforced is a problem However, it turns out, most things you could accomplish with penalties, you could restate in a different way with a performance bonus Go back to the house-building example I’m happy to pay $200,000 to get the house built by a certain date But I insist on a $50,000 penalty if it’s not ready on time We could alternatively write the contract this way: I pay $150,000 for the building of the house And I pay an additional $50,000 performance bonus if the house is completed by a certain date Courts generally have no problem enforcing contracts with bonuses in them, so this would likely be enforced as written But it has the same effect as the contract with the penalty (Under either contract, the builder gets $200,000 for finishing the house on time, and $150,000 for finishing it late.)

9 Penalty clauses Whatever you can accomplish with penalty clause, you could also accomplish with performance bonus I agree to pay $200,000 to get house built, but I want you to pay a $50,000 penalty if it’s late Alternatively: I agree to pay $150,000 for house, plus a $50,000 performance bonus if it’s completed on time Either way, you get $150,000 if house is late, $200,000 if on time Courts generally enforce bonus clauses, so no problem! Similarly, Peevyhouse example Peevyhouses get $25,000 for mining rights, $40,000 penalty if land is not restored Equivalently, get $65,000 for mining rights, pay $40,000 bonus if restoration is completed But, if intent of contract is too transparent, still might not be enforced Similarly, go back to the Peevyhouse example Instead of a $40,000 penalty that might not be upheld, the Peevyhouse contract also could have been rewritten as a bonus We imagined that Garland paid $25,000 to mine the coal Suppose the contract were written in this way: Garland pays the Peevyhouses $65,000 to mine the coal The Peevyhouses pay Garland a $40,000 bonus if the resoration work is completed This would create exactly the same incentives as a $40,000 penalty clause (In this case, though, the intent of the contract might have been so transparent that it still might not have been enforced)

10 Effects of different remedies on…. decision to perform or breach
Effects of different remedies on… decision to perform or breach decision to sign or not sign investment in performing investment in reliance Now, once all the decisions have been made – once we’ve decided to sign a contract, you’ve decided how much to rely, I’ve decided to breach, and the case is in front of a judge or jury – the remedy for breach of contract is purely a question of redistribution So if we want to understand the impact of remedies on efficiency, we can think only about the incentives they create for our decisions, specifically…

11 Costs High – Renegotiate
Plane worth $500,000 to you Price $350,000 Cost: either $250,000 or $1,000,000 Remedies and breach Expectation Damages Specific Performance Costs Low – Perform Costs High – Perform Costs High – Breach Costs Low – Perform Costs High – Perform Costs High – Renegotiate I get 100,000 -650,000 -150,000 I get 100,000 -650,000 -400,000 –650, ½ (500,000) You get 150,000 150,000 150,000 You get 150,000 150,000 400,000 150, ½ (500,000) For example, let’s compare a contract enforced by specific performance – the promisor is not allowed to breach unless the promisee agrees – versus a promise enforced by expectation damages Let’s stick with the example of the airplane I agreed to build for you The plane will give you a value of $500,000; we agree on a price of $350,000 I expect the plane to cost me $250,000 to build, but there is some chance it will instead cost me $1,000,000 Expectation damages Specific performance by renegotiating the contract, we create a total surplus of $500,000 (beyond our outside options if you forced me to build the plane) Suppose that our negotiations lead us to divide this additional surplus evenly This would lead you to get $250,000 beyond your outside option, which was $150,000, so your payoff would be $400,000 I would get $250,000 beyond my outside option, which was -650,000, which would be -400,000 (So this means, in return for getting out of the contract, I pay you $400,000) As long as transaction costs are low, either remedy will lead to the same outcome When it is efficient to breach, expectation damages lead me to breach without permission Under specific performance, when it is efficient to breach, renegotiation will lead us to some sort of agreement to let me off the hook. But when the transaction costs of renegotiating our contract are too high… Expectation damages still allow me to breach Specific performance would lead to inefficient performance I would have to build you the plane, even though it costs me more than your benefit Total 250,000 -500,000 Total 250,000 -500,000 Transaction costs low  either leads to efficient breach, but seller prefers “weaker” remedy Transaction costs high  S.P. leads to ineff. performance

12 Remedies and breach Opportunity cost damages, or reliance damages
Inefficient breach when transaction costs are high Renegotiate contract to get efficient performance when transaction costs are low Like nuisance law: any remedy leads to efficient breach with low TC But only expectation damages do when TC are high Unfortunate contingency and fortunate contingency We can do the same type of analysis with other types of damages – opportunity cost damages, or reliance damages With high transaction costs, either of these would lead to inefficient breach – sometimes, I would choose to breach, even when that’s inefficient With low transaction costs, when performance is efficient but I would otherwise choose to breach, we can simply renegotiate the contract and get performance Like in nuisance law, any remedy leads to efficient performance when transaction costs are low But only expectation damages do it without renegotiation; and only expectation damages get efficient breach even when transaction costs are high An increase in the cost of performance is referred to as an unfortunate contingency On the other hand, I may want to break my promise because I discover another buyer who values my product more than you do This is referred to as a fortunate contingency Earlier, we saw the example where you contracted to buy my painting, but my rich cousin appeared and valued it much more highly than you did We can do the same exercise as before with the different remedies, and see the same thing With low transaction costs, any remedy will lead to efficient breach, but with different allocations of surplus An example of this is done in the textbook (p. 267) Once again, specific performance is the most advantageous to the buyer, and higher damages are better for the buyer than lower damages.

13 Efficient signing Specific Performance
If costs stay low, I get $350,000 – $250,000 = $100,000 profit If costs rise, I take $400,000 loss Am I willing to sign this contract? Even expectation damages face this problem Expectation damages: costs stay low, same $100,000 profit Costs rise, $150,000 loss If probability of high costs is ½, I won’t sign contract Expectation damages lead to efficient breach, but may not lead to efficient signing One further point that we mentioned earlier but didn’t talk much about: efficient signing. With specific performance, in the example above, we saw that when costs stay low and I perform, I get a profit of $100,000 (the price you pay, $350, minus the costs I incur, $250) When costs rise and I need to renegotiate to get out of the contract, if gains from trade were split evenly, I would take a $400,000 loss Which begs the question: would I have been willing to sign this contract in the first place? It turns out, expectation damages face this problem too When my costs remain low and I perform, I get the same profit of $100,000 And when my costs jump up and I breach, I owe $150,000 (expectation damages) If the probability my costs rise is small enough, that’s no big deal I take the risk of owing you expectation damages, because my profits in the cases where I don’t breach are large enough that it’s worth the risk. But if the probability my costs rise is high, then my expected profit from this contract is negative For example, suppose the probability of a dramatic rise in costs is ½ Then my expected payoffs from agreeing to build you the airplane are ½ (100,000) + ½ (-150,000) = -25,000 So now there’s no way I’d agree to the contract in the first place This is the point we mentioned before: Expectation damages lead to efficient breach, but they may lead to inefficient signing (If I’m the only airplane manufacturer available, it’s still efficient for us to sign this contract – it generates positive expected surplus – but under expectation damages, I would not sign this contract.) This suggests that, even if expectation damages make a sensible default rule, it’s efficient for parties to be able to specify a different damages rule in the contract That is, even if expectation damages are often efficient, they are not always efficient, so there’s no reason for them to be mandatory

14 Reliance – did example a while ago
If reliance investments increase the damages you receive, we expect to get overreliance To get efficient reliance, need to exclude gains from reliance in calculation of expectation damages But then promisor’s liability < promisee’s benefit, leading to inefficient breach With low transaction costs, fix this through renegotiation But what about unobservable actions the promisor needs to take, to make breach less likely? Investment in performance So if damages include the gains from reliance, this leads to overreliance But if the level of damages excludes the gains from reliance, this leads to efficient reliance But we also know that if the level of damages exclude the gains from reliance, and the buyer relies anyway, that this will lead to inefficient breach That is, since the seller’s liability from breach is lower than the buyer’s gain from performance, there will be some instances where the seller breaches even though efficiency requires performance We said before that with no transaction costs, this problem can be solved When breach would be inefficient, the parties can contract around it Since it’s generally very clear whether a party has breached a contract or not, this shouldn’t be a particular problem. However, there are situations in which a promisor can take actions to make performance less costly Or, to put it another way, to lessen the probability that breach is necessary A contractor could buy raw materials ahead of time, to avoid the risk of changing prices A manufacturer could start a project earlier and frontload the labor to avoid the risk of a strike If a project were to require a building permit or zoning easement, he could lobby the local government (or bribe someone) to decrease the chances of hitting a snag. This sort of investment in performance, however, may be unobservable, or unverifiable So even when this sort of investment is efficient, it may be very hard to build it into the contract (It’s very hard to enforce a contract specifying “how hard I have to try” to convince the zoning board to approve your project.) So investment in performance may only occur when it is in the promisor’s best interest Skip

15 Investment in performance
Investments promisor can make to reduce likelihood that he/she will have to breach We said expectation damages lead to efficient investment in performance. Why? Social cost = private cost = actual cost of investment Social benefit = (reduction in prob of breach) x (social cost of breach) = (reduction in prob of breach) x (promisee’s benefit from performance) Private benefit = (reduction in prob of breach) x (private cost of breach) = (reduction in prob of breach) x (promisor’s liability) So if liability = anticipated benefit, SC = PC, SB = PB  efficient behavior If liability < anticipated benefit, PB < SB  less than efficient investment If liability > anticipated benefit, PB > SB  more than efficient investment

16 Investment in performance (continuing with airplane example)
Skipped in lecture – feel free to read if you’re interested, but you’re not responsible for this Investment in performance (continuing with airplane example) Suppose probability of breach if I invest nothing is ½… but for every $27,726 I invest, I cut the probability in half Invest nothing  probability of breach is 1/2 Invest $27,726  probability is 1/4 Invest $55,452  probability is 1/8 Any investment z  probability is .5 * (.5) z / 27,726 Wrote it this way so p = .5 e – z / 40,000 We’ll stick with the airplane example Suppose there is some investment I can take that reduces the chance that my costs go up I can buy some of my supplies ahead of time This will reduce the risk of having to breach But I can’t completely insulate myself from risk Suppose that for each $27,726 I invest, I can reduce the probability I will need to breach by ½ That is, if I invest $27,726, the probability of breach goes from ½ to ¼ If I invest another $27,726, it goes down to 1/8 And so on For any investment z, then, we can write the probability that breach is still required as ½ * ½ ^(z / 27,726) The reason I chose the number 27,726 is that we can rewrite this probability as ½ e^{- z/40,000) which makes it much easier to work with.

17 Investment in performance (continuing with airplane example)
Skipped in lecture – feel free to read if you’re interested, but you’re not responsible for this Investment in performance (continuing with airplane example) Suppose you’ve built a $90,000 hangar Increases value of performance by $180,000… …so value of performance is $150,000 + $180,000 = $330,000 Probability of breach = .5 e – z/40,000 Let D = damages I owe if I breach Same questions as before: What is efficient level of investment in performance? How much will I choose to invest in performance?

18 Investment in performance (continuing with airplane example)
Skipped in lecture – feel free to read if you’re interested, but you’re not responsible for this Investment in performance (continuing with airplane example) Suppose you’ve built a $90,000 hangar Increases value of performance by $180,000… …so value of performance is $150,000 + $180,000 = $330,000 Probability of breach = .5 e – z/40,000 Let D = damages I owe if I breach Same questions as before: What is efficient level of investment in performance? Enough to reduce probability of breach to 40,000/430,000 How much will I choose to invest in performance? Enough to reduce probability of breach to 40,000/(100,000 + D) Efficient level? Social surplus is 330, ,000 if costs stay low, 0 if costs rise So expected social surplus is (1 – p(z)) (430,000) – z 430,000 – 430,000 * 0.5 * e–z/40,000 – z Take derivative to maximize this: – 430,000 * 0.5 * (–1/40,000) e– z/40,000 – 1 = 0 Could solve for z, but simpler to solve for p(z) 0.5 * e– z/40,000 = 40,000 / 430,000 = p(z) Efficient level of investment is enough to reduce probability of breach to 40,000/430,000 What will promisor actually do? Private gain to promisor is 100,000 when costs stay low, -D when costs go up, minus actual investment Expected private gain is (1 – p(z)) 100,000 + p(z) (-D) – z 100,000 – p(z) (100,000 + D) – z 100,000 – (100,000 + D) * 0.5 * e–z/40,000 – z – (100,000 + D) * 0.5 * (–1/40,000) e– z/40,000 – 1 = 0 Again, solve for p(z): 0.5 * e– z/40,000 = 40,000 / (100,000 + D) = p(z) For any level of liability D, promisor invests enough to reduce probability of breach to 40,000/(100,000+D)

19 What do these results mean?
Skipped in lecture – feel free to read if you’re interested, but you’re not responsible for this What do these results mean? What is the efficient level of investment in performance? Enough so that p(z) = 40,000/430,000 What will promisor do under various rules for damages? Enough so that p(z) = 40,000/(100,000 + D) So if D = 330,000, efficient investment in performance D = 330,000 is promisee’s benefit, including reliance So expectation damages, with benefit of reliance, leads to efficient investment in performance If D < 330,000, too little investment in performance If D > 330,000, too much Makes sense – think about externalities The efficient level of investment leads to a 40,000/430,000 chance of breach Damages which are set equal to D lead to a self-interested promisor to allow a probability of breach of 40,000/(D + 100,000) So when damages are set to 330,000 – damages include the benefit from reliance – the investment in performance is efficient When damages are lower than that, the seller will underinvest in performance, leaving the risk of breach inefficiently high When damages are higher than this, the seller will overinvest in performance And what’s the overall lesson? Making the seller liable for reliance – that is, increasing expectation damages to include benefit due to reliance – leads the seller to invest efficiently in performance; just like it led to efficient breach But it leads the buyer to overinvest in reliance On the other hand, making the seller not liable for reliance – leaving expectation damages where they were without reliance – leads to underinvestment in performance But it leads to the efficient level of reliance So like we saw last week with the sailboat example from Friedman: The level of damages leads to multiple different incentives And it’s impossible to come up with a level of damages that makes everyone behave efficiently

20 Effects of different remedies on…. decision to perform or breach
Effects of different remedies on… decision to perform or breach decision to sign or not sign investment in performing investment in reliance

21 Paradox of compensation
Expectation damages include benefit from reliance investments Expectation damages exclude benefit from reliance investments Efficient breach Efficient investment in performance Over-reliance Inefficient breach Underinvestment in performance Efficient reliance Summing up most of these results, we found that When expectation damages include the anticipated benefit from reliance, we get efficient breach, and efficient investment in performance seller internalizes the full cost of breach, and makes efficient decision inefficiently high reliance buyer reliance imposes a negative externality on seller – since he has to pay more if he breaches – so buyer does not bear full “cost” of reliance On the other hand, when expectation damages exclude the anticipated benefit from reliance, inefficient breach/investment in performance breach imposes a negative externality on buyer, so seller does not bear full cost efficient reliance buyer bears full cost, full benefit of reliance, makes efficient decision This is what Cooter and Ulen call the paradox of compensation neither rule gets both parties to act efficiently Is there a way to get efficient behavior by both parties? Skip

22 We already saw one possible solution
Have expectation damages include benefit from reliance… …but only up to the efficient level of reliance, not beyond That is, have damages reward efficient reliance investments, but not overreliance Promisee has no incentive to over-rely  efficient reliance Promisor still bears full cost of breach  efficient performance Problem: this requires court to calculate efficient level of reliance after the fact We already saw one proposed solution to this problem Modify expectation damages to include the benefit of reliance, but only up to the efficient level of reliance, not beyond This way, buyer has no incentive to over-rely, since he won’t get that benefit in the event of breach And seller still bears full cost of breach, so he makes efficient decisions as well

23 Another clever (but unrealistic) solution
The problem: Damages promisor pays should include gain from reliance if we want to get efficient performance Damages promisee receives should exclude gain from reliance if we want to get efficient reliance Solution: make damages promisor pays different from damages promisee receives! How do we do this? Need a third party

24 “Anti-insurance” You (promisee) and I (promisor) offer Bob this deal:
If you rely and I breach, I pay Bob value of promise with reliance (airplane plus hangar) Bob pays you value of promise without reliance (airplane alone) Bob keeps the difference You receive damages without benefit from reliance; I pay damages with benefit from reliance How do we do this? Let’s say I’m the promisor, and you’re the promisee, and I’ve promised to build you an airplane You and I have this friend, Bob So we go to Bob and say, hey Bob, here’s a deal for you I’m planning to build a plane He’s planning to buy the plane He’s probably going to want to build a hangar I might end up not building the plane Here’s what we need you to do In the event that he builds a hangar and I don’t build the plane, I’m going to give you the value of the plane with the hangar; And you’re going to give him the value of the plane without the hangar And you keep the rest for yourself. OK? And Bob says, “cool!” This is called “anti-insurance” Rather than buying insurance from a third party, you and I are entering into this additional contract where if things go bad, I owe Bob some additional money, beyond what I pay you By doing this, we set both our incentives correctly You only get the benefit of reliance if I perform, so you invest the efficient amount in reliance I face the full cost of breach, so I invest the efficient amount in performance.

25 “Anti-insurance” You (promisee) and I (promisor) offer Bob this deal:
If you rely and I breach, I pay Bob value of promise with reliance (airplane plus hangar) Bob pays you value of promise without reliance (airplane alone) Bob keeps the difference You receive damages without benefit from reliance; I pay damages with benefit from reliance Offer the deal to two people, make them pay up front for it Now obviously, Bob is happy to do this for free; but it makes you and me worse off So now we go to our other friend Carol, and say, Hey, Carol Here’s a deal we’re offering Give us $5 now, and if he builds a hangar and I don’t deliver a plane, you’ll get the difference between the value of the plane with the hangar and without the hangar And Carol realizes this is worth more than $5, so she says, “sure.” But now we go back to Bob, and we offer him the deal at $10 instead. And if we make Bob and Carol compete for this deal, we should be able to get them to pay a fair amount for it up front If they’re risk averse, of course, they’ll need to be compensated for taking on some risk But if we have a risk-neutral friend who’s smart enough to understand the probabilities and figure out what each of us will do given our incentives, we can get them to give us the full value of the anti-insurance deal ahead of time, and divide it up among ourselves So this way, we can give ourselves incentives for efficient reliance and efficient investment in performance at the same time. So that’s another way to solve the paradox of compensation – even if it’s pretty unrealistic

26 Reminder: what do courts actually do?
Foreseeable reliance Include benefits reliance that promisor could have reasonably anticipated What courts actually do, rather than basing damages on actual or on efficient reliance, is to base damages on foreseeable reliance That is, they base damages on what the promisor could have reasonably expected the promisee to do, not what he actually did This was the decision in Hadley Since the shipper could not reasonably expect the miller to rely so heavily, he was not liable for the lost profits Most millers at the time had more than one crankshaft So a broken shaft would not typically lead to shutdown Under the doctrine of foreseeable reliance, if Hadley had told Baxendale that his mill was closed until repairs were made, then Baxendale would be liable for lost profits due to delay By informing Baxendale of the reliance, Hadley would have made it foreseeable, and therefore compensable

27 Repeated interactions

28 Repeated games Nearly everything we’ve done so far has assumed a one-shot interaction that is, we’ve been assuming that the parties to a contract are only interested in maximizing their gain from that one particular contract, and are not concerned with any future interactions with the same partner. Of course, in many cases, this is not true Example. There’s a coffee shop near my house, and I go there several times a week. One day, I forget my wallet, and ask if I can still buy a cup of coffee and a muffin, and pay them back the next day They say yes, and I show up the next day with the money. Why? (Seems pretty obvious to any reasonable people, less so to an economist.) An economist would say: The reason I pay them back is that I want to keep transacting with them in the future And the value I expect to get from those future transactions is worth more to me than the $3 I could save by breaking my promise now And the reason they trusted me is that they expected this would be the case. From a theoretical point of view, repeated games can be very hard to analyze, because a lot of different things can happen But one of the things that can happen is that we can cooperate in a repeated game, even if we could not cooperate in the same one-shot game.

29 Repeated games Suppose we’ll play the game over and over
Player 1 (you) Trust me Don’t Player 2 (me) (100, 0) Share profits Keep all the money (150, 50) (0, 200) Let’s go back to the original agency game we did a couple weeks ago. You choose whether to trust me with $100, which I can double by investing it; and then I decide whether to keep the $200 or return $150 to you and keep $50 for myself But now, suppose there is the possibility of playing the game more than once. In particular, suppose that each time we play the game, there is a 10% chance it’s the last time we play, and a 90% chance that we get to play again. Suppose we’ll play the game over and over After each game, 10% chance relationship ends, 90% chance we play at least once more…

30 Repeated games Suppose you’ve chosen to trust me
Keep all the money: I get $200 today, nothing ever again Share profits: I get $50 today, $50 tomorrow, $50 day after… Value of relationship = Since this is more than $200, we can get cooperation Think about my incentives to repay your money or keep it for myself If I keep it for myself, I get a payoff of $200; but then you’ll never trust me again, so that’s all I’ll ever get On the other hand, if I give you back your $150, you’ll probably trust me again the next time, and the time after that, and the time after that (provided I keep returning it) So the value I expect to get out of the relationship is X ^2 X ^3 X 50 + … = 50 / (1 - .9) = 500 > 200 So I’m much better off returning your money, since I’ll make more money in the long-run if you keep trusting me And because of this, it makes sense for you to trust me

31 Repeated games Suppose you’ve chosen to trust me
Keep all the money: I get $200 today, nothing ever again Share profits: I get $50 today, $50 tomorrow, $50 day after… Value of relationship = Since this is more than $200, we can get cooperation The same thing can also happen with a repeated version of the prisoner’s dilemma. Recall that in the one-shot prisoner’s dilemma, the only equilibrium was for both of us to rat on each other and go to jail for several years However, if we expect to play the prisoner’s dilemma over and over, it turns out to be an equilibrium to both keep quiet Actually, what turns out to be an equilibrium is for both of us to do the following: Keep quiet the first time we play As long as neither of us has ever ratted on the other, keep quiet Once either of us has ever ratted, I rat every time we play forever This is called a “grim trigger” strategy – we play a good (cooperative) strategy, but if either of us every rats, this triggers a “punishment phase” where we are unable to cooperate The threat of moving to this punishment phase keeps us both quiet, even though either of us would gain in the short-term by ratting each other out. So in the prisoner’s dilemma, or the agency game, if the game will be played over and over, it’s possible to get cooperation. Similarly, in situations where contracts cannot be enforced, repeated interactions with the same parties can lead to voluntary cooperation. Even when you won’t always be transacting with the same person, transacting within a small community, where people are aware of your reputation, leads to a similar incentive.

32 Repeated games and reputation
Diamond dealers in New York (Friedman) “…people routinely exchange large sums of money for envelopes containing lots of little stones without first inspecting, weighing, and testing each one” “Parties to a contract agree in advance to arbitration; if… one of them refuses to accept the arbitrator’s verdict, he is no longer a diamond merchant – because everyone in the industry now knows he cannot be trusted.” The Friedman book mentions an article by Lisa Bernstein on diamond dealers in New York. Quoting from Friedman: Buying and selling diamonds is a business in which people routinely exchange large sums of money for envelopes containing lots of little stones without first inspecting, weighing, and testing each one. The New York diamond industry was at one time dominated by orthodox Jews, forbidden by their religious beliefs from suing each other – making it a trust-intensive industry conducted almost entirely by people who could not use the legal system to enforce their agreements. While the industry had become more diverse by the time Bernstein studied it, dealers continue to rely almost entirely on private mechanisms to enforce contracts – in part for religious reasons, in part to maintain privacy, in part, perhaps, because those mechanisms functioned better than the courts. At the center of the system is the New York Diamond Dealers’ Club, which arranges private arbitration of disputes among diamond merchants. Parties to a contract agree in advance to arbitration; if, when a dispute arises, one of them refuses to accept the arbitrator’s verdict, he is no longer a diamond merchant – because everyone in the industry now knows he cannot be trusted. Similar arrangements exist elsewhere in the world and exchange information with each other. Presumably the amount diamond merchants are willing to risk on a single deal depends in part on how long the other party has been involved in the industry and thus how much he would lose if he had to leave it.

33 Repeated games and reputation
The first purpose of contract law is to enable cooperation, by converting games with noncooperative solutions into games with cooperative solutions The sixth purpose of contract law is to foster enduring relationships, which solve the problem of cooperation with less reliance on courts to enforce contracts Law assigns legal duties to certain long-term relationships Bank has fiduciary duty to depositors McDonalds franchisee has certain duties to franchisor Recall that in the first couple lectures on contract law, we introduced a number of pronouncements from Cooter and Ulen, including: The first purpose of contract law is to enable cooperation, by converting games with noncooperative solutions into games with cooperative solution Considering the effect of repeated games, Cooter and Ulen add a sixth one to the list: The sixth purpose of contract law is to foster enduring relationships, which solve the problem of cooperation with less reliance on the courts to enforce contracts. We saw with the agency game that one way to allow for cooperation was to introduce enforceable contracts Repeated interactions, or enduring relationships, give another way to get cooperation in what seems like a game with a noncooperative solution The textbook gives a couple of examples of how courts sometimes try to foster enduring relationships: By assigning legal duties to relationships that arise out of contracts example: a bank has a fiduciary duty to its depositors which goes well beyond the terms they agree to on the account a franchisee who runs a local McDonalds has certain duties to the franchisor These duties are meant to encourage an enduring business relationship. Similarly, courts sometimes treat long-term business relationships differently encouraging the parties to “repair the relationship” rather than simply ruling on the merits of the dispute.

34 Repeated games and the endgame problem
Suppose we’ll play agency game 60 times $50 x 60 = $3,000 > $200, so cooperation seems like no problem But… In game #60, reputation has no value to me Last time we’re going to interact So I have no reason not to keep all the money So you have no reason to trust me But if we weren’t going to cooperate in game #60, then in game #59… So we’ve seen that repeated interactions and reputation can solve the agency problem and lead to cooperation But there’s also a potential problem with this In the examples so far, we don’t know how long we’ll keep interacting, but that it might go on indefinitely But if there’s a date when we know our relationship will be over for sure, this can lead to a problem. Suppose we are going to play the agency game once a month for five years – that is, we’re going to play 60 times Clearly, getting $50 60 times is much better than getting $200 once, so it seems there should be no problem with getting me to return your money early on in the interaction. However, think about the problem from the other end. The last time we play, there’s no longer any future gain if I return your money, since we know it’s our last game. Given that, you expect me to steal the money you give me in game #60, so you don’t lend me the money. But now think about game #59 We both know that we won’t cooperate in game #60 – that’s true regardless of what happens in game #59. So what happens in game #59 doesn’t affect future play So once again I have no reason to return your money, so I keep it; and you expect this, so you don’t trust me. But now if we don’t expect to cooperate in game #59 or #60, there’s no reason for you to trust me in game #58. And so on. So in a finitely repeated game, cooperation can unravel from the back, and we can fail to cooperate form the very beginning! Cooter and Ulen call this the “endgame problem” Once we know there is a finite end date to our interaction, cooperation can unravel

35 Repeated games and the endgame problem
Endgame problem: once there’s a definite end to our relationship, no reason to trust each other Example: collapse of communism in late 1980s Communism believed to be much less efficient than capitalism But fall of communism led to decrease in growth Under communism, lots of production relied on gray market Transactions weren’t protected by law, so they relied on long-term relationships Fall of communism upset these relationships This is referred to in Cooter and Ulen as the “endgame problem” Once we know there is a finite end date to our interaction, cooperation can unravel They discuss an example where this happened: the collapse of communism across much of eastern Europe in 1989. Communism was believed to be much less efficient than capitalism But when central planning was replaced by markets, this actually led to a decrease in growth rather than the anticipated increase. Why? Under communism, a lot of production relied on the black market, or the semi-legal gray market. Since these transactions weren’t protected by law, they relied on long-term relationships to accomplish cooperation. However, the fall of communism, and the uncertainty that came with it, upset these relationships, causing lots of important cooperation to break down. So while repeated interaction gives us a way to cooperate without relying on courts to enforce contracts, having a definite end date to the interaction can spoil it. Keep in mind, though, that to sustain cooperation, the game doesn’t have to actually go on forever; it just has to be possible at each stage that it might continue. The probability the game will be played again is like a discount factor – you discount the future gains by the probability they will occur As long as this probability is not too low, the possibility of future gains may still be enough to sustain cooperation.

36 One other bit I like from Friedman

37 Friedman on premarital sex
In most societies throughout history, people have wanted to have sex, often without getting married But until recently, in most societies, men have wanted to marry women who have never slept with anyone else (Could be evolved instinct to make sure kids are yours; could be a cultural/religious thing; but it’s historically true) Creates a problem: single women are reluctant to have sex for fear it will lower their ability to find a suitable husband; and so single men have trouble finding women to sleep with. One traditional solution is for unmarried couples to sleep together on the understanding that if the woman gets pregnant the man will marry her. This practice was sufficiently common in a number of societies… that between a quarter and half of all brides went to the alter pregnant. Of course, there is still the problem of opportunistic breach by the man There are a variety of different ways to try to enforce this understanding But historically, one way has been through contract law Under traditional common law, a jilted bride could sue for breach of promise to marry. The damages she could collect reflected the reduction in her future marital prospects. They were in fact, although not in form, damages for loss of virginity. However, starting in the 1930s, U.S. courts became increasingly unwilling to enforce this rule; by 1945, half the U.S. population lived in states where breach of promise to marry was no longer recognized as a legal issue Which created a problem for women who wanted to have premarital sex, but did not want to end up single mothers in a society in which that status was both economically difficult and heavily stigmatized.

38 Friedman on premarital sex
Enter a clever new solution: the engagement ring Contrary to what DeBeers may tell you, the tradition of a man giving his fiancee a valuable engagement ring is not an ancient custom Friedman cites an article by Margaret Brinig, called “Rings and Promises”. She looks at diamond import data and finds that the practice appeared to became common only in the 1930s, peaked in the 1950s, and has since declined. Her explanation was that the engagement ring served as a performance bond for the promise to marry. Instead of suing, which was no longer an option, an abandoned bride could simply keep the ring, confiscating the posted bond. The practice eventually declined not because of further legal changes – today, no states recognize the action for breach of promise to marry – but as a result of social changes. As premarital sex became more common, contraception more reliable, and virginity of less importance on the marriage market, the risk of opportunistic breach, and thus the need for a bonding mechanism, declined.

39 That’s it for contract law
Purposes for contract law: Encourage cooperation Encourage efficient disclosure of information Secure optimal commitment to performance Secure efficient reliance Provide efficient default rules and regulations Foster enduring relationships Next week, we’ll begin Tort Law The first purpose for contract law is to encourage cooperation, by changing games with noncooperative equilibria into games with cooperative equilibria Encouraging cooperation means that contracts should generally be enforceable when both parties wanted them to be enforceable The second purpose is to encourage efficient disclosure of information This is sometimes accomplished through penalty defaults – rules that penalize a better-informed party that withheld information The third purpose is to secure optimal commitment to performance – that is, efficient investment in performance, and breach only when it’s efficient This is generally accomplished through expectation damages The fourth purpose is to secure efficient reliance investments This requires not including the anticipated benefits from overreliance in damages – but we saw multiple ways to try to accomplish this, and the paradox of compensation The fifth is to provide efficient default rules and regulations Efficient default rules generally require allocating a risk to the low-cost bearer And we saw a number of examples of regulations – situations where contracts would not be enforced The sixth purpose is to foster enduring relationships – as we saw today, repeated interactions and reputations can lead to cooperation without relying on the court system, but endgames pose a problem


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