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How types of market differ, and why it matters Michael Joffe Imperial College London PKSG, Cambridge, November 2011
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Structure of the talk the current discourse: – the market vs. the state – market failure real-economy competition between firms: – cost-tethered markets – cost competition free-floating markets – a model of bubbles – rationality conclusions
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Structure of the talk the current discourse: – the market vs. the state – market failure real-economy competition between firms: – cost-tethered markets – cost competition free-floating markets – a model of bubbles – rationality conclusions
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The current discourse I a large part of economic theory concerns the properties of the market central to this is, under certain assumptions, the market has a particular set of properties: convergence towards a stable equilibrium (and under certain conditions, Pareto optimality) observation: not all economic phenomena can readily be explained using this framework – most recently bubbles/crises; but also the specific property of capitalism, that it grows – exogenous technical change, or smithian growth
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The current discourse II criticisms typically focus on the assumptions being unrealistic, or on market failure of various types, e.g. monopoly power, missing or incomplete markets, externalities, public goods or information asymmetry – failure => the market does not work as the theory would predict (i.e. the theory itself is OK) more broadly, the discourse is one of the market versus the state – with a political dimension, in which theory is evaluated largely in the light of ones political values
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Types of market I the term types of market has a number of possible meanings: place: local, national, international time: very short, short, long, very long period the ideal types of textbook theory: perfect competition, monopoly, duopoly, oligopoly, monopolistic competition, monopsony different types of goods: inferior, luxury, Geffen, positional goods; winner-take-all markets
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Types of market II various arbitrary divisions, e.g. – physical, internet, labour, intermediate goods, stock market, ad hoc auctions, illegal markets,... – financial markets, currency markets, futures markets, the money market (lending/borrowing) – consumer, industrial, commodity and capital markets
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Types of market II various arbitrary divisions, e.g. – physical, internet, labour, intermediate goods, stock market, ad hoc auctions, illegal markets,... – financial markets, currency markets, futures markets, the money market (lending/borrowing) – consumer, industrial, commodity and capital markets I argue: different types of market have radically different dynamic behaviour, for reasons that can be readily understood, and this can be modelled
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Structure of the talk the current discourse: – the market vs. the state – market failure real-economy competition between firms: – cost-tethered markets – cost competition free-floating markets – a model of bubbles – rationality conclusions
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Structure of the talk the current discourse: – the market vs. the state – market failure real-economy competition between firms: – cost-tethered markets – cost competition free-floating markets – a model of bubbles – rationality conclusions
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Real-economy competition between firms I with goods and non-financial services, costs play a large role in price setting prices are set in the market, in response to the levels of supply and demand – as always
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price A quantity demanded A - quantity supplied A - // profit/incentive
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Real-economy competition between firms I with goods and non-financial services, costs play a large role in price setting prices are set in the market, in response to the levels of supply and demand – as always
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Real-economy competition between firms I with goods and non-financial services, costs play a large role in price setting prices are set in the market, in response to the levels of supply and demand – as always competition tends to drive the price down
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price A quantity demanded A - quantity supplied A - // profit/incentive
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price A quantity demanded A - intensity of competition quantity supplied A - - // profit/incentive
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Real-economy competition between firms I with goods and non-financial services, costs play a large role in price setting prices are set in the market, in response to the levels of supply and demand – as always competition tends to drive the price down
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Real-economy competition between firms I with goods and non-financial services, costs play a large role in price setting prices are set in the market, in response to the levels of supply and demand – as always competition tends to drive the price down costs set a limit to how low prices can go – they cannot go below unit costs for long
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price A quantity demanded A - intensity of competition quantity supplied A - - // profit/incentive
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price A quantity demanded A - intensity of competition quantity supplied A cost A - - // profit/incentive
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Real-economy competition between firms I with goods and non-financial services, costs play a large role in price setting prices are set in the market, in response to the levels of supply and demand – as always competition tends to drive the price down costs set a limit to how low prices can go – they cannot go below unit costs for long
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Real-economy competition between firms I with goods and non-financial services, costs play a large role in price setting prices are set in the market, in response to the levels of supply and demand – as always competition tends to drive the price down costs set a limit to how low prices can go – they cannot go below unit costs for long the result is, prices tend to end up just above unit costs – the difference is the mark-up I call this cost tethering – it is not rigid: the mark-up is variable
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price A quantity demanded A - intensity of competition quantity supplied A cost A - - // profit/incentive
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price A quantity demanded A - intensity of competition quantity supplied A cost A - - // profit/incentive A SYSTEM WITH COMPENSATING (NEGATIVE) FEEDBACK – IT TENDS TO MOVE TOWARDS STABLE EQUILIBRIUM
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price A quantity demanded A - intensity of competition quantity supplied A cost A - - // profit/incentive e.g. a supply shock – a cheaper source of a mineral
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price A quantity demanded A - intensity of competition quantity supplied A cost A - - // profit/incentive e.g. a demand shock – a successful promotion campaign
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price A quantity demanded A - intensity of competition quantity supplied A cost A - - // profit/incentive e.g. a supply shock – a cheaper source of a mineral THESE PROCESSES OCCUR OVER TIME, BUT ARE STATIC IN THE SENSE THAT THE ONLY TIME- DEPENDENT ENDOGENOUS PROCESS IS TOWARDS A STABLE EQUILIBRIUM e.g. a demand shock – a successful promotion campaign
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price A quantity demanded A - intensity of competition quantity supplied A cost A - - // profit/incentive
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price A quantity demanded A - intensity of competition quantity supplied A cost A cost B price B - - - - - quantity supplied B quantity demanded B \\ // profit/incentive
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price A quantity demanded A - intensity of competition PRICE COMPETITION quantity supplied A cost A cost B price B - - - - - quantity supplied B quantity demanded B \\ // profit/incentive
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Real-economy competition between firms II so far, I have assumed costs as given – as is conventional in mainstream theory what happens if costs can be reduced?
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Real-economy competition between firms II so far, I have assumed costs as given – as is conventional in mainstream theory what happens if costs can be reduced? this would necessarily be on a longer timescale, via investment
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price A quantity demanded A - intensity of competition COST COMPETITION quantity supplied A cost A cost B price B - - - - - quantity supplied B quantity demanded B \\ profit/incentive // via investment \\ via investment
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The standard market equilibrium model price quantity P1P1 Q1Q1 D S
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Cost competition price quantity P1P1 P2P2 Q2Q2 Q1Q1 D S1S1 S2S2
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Cost competition price quantity P1P1 P2P2 Q2Q2 Q1Q1 D S1S1 S2S2 S3S3
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Cost competition price quantity P1P1 P2P2 Q2Q2 Q1Q1 D S1S1 S2S2 S3S3 S4S4
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Cost competition price quantity P1P1 P2P2 Q2Q2 Q1Q1 D S1S1 S2S2 S3S3 S4S4 S5S5
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The core institution of capitalism the way this has happened historically has been by control of the means of production, plus employment of wage labour – the capitalist firm this provides flexibility in the inputs it can call upon and in the size of the market it can supply the firm can readily introduce new technology/ production methods and/or new products the capitalist real economy, far from being a market economy, is dominated by market relations between firms – a hybrid: competition between authority structures
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Cost reduction and capitalist growth the fall in unit costs, i.e. real input, for the same output is equivalent to an increased output for the same real input – one source of growth the other source of capitalist growth is the introduction of new/better quality products these account for the dynamism of capitalism: capitalism is unique in the extraordinary growth record it has been able to achieve (W Baumol) so: institutional change system characteristics specific endogenous causal processes
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Arms race model I τ A = – κ A τ A + ρ A τ B + α A τ B = – κ B τ B + ρ B τ A + α B τ A and τ B represent annual expenditure on future cost reduction; τ A and τ B are 1 st derivatives κ A and κ B represent constraint on expenditure, ρ A and ρ B represent the response of each company to the other α A and α B represent the animal spirits of each firm
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Arms race model II if κ A κ B > ρ A ρ B :
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Arms race model III if κ A κ B < ρ A ρ B :
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Simulations (in Vensim) a productivity change is introduced: 10% fall in costs each run represents a different scenario: – baseline run, before productivity is altered (black line): everything is stable – all lines are horizontal – innovation in a pre-capitalist economy, with no capacity to reduce costs (blue line): like the baseline, except for the initial Effect on unit cost A – a one-off effect (step change) – competition between a capitalist and a non-capitalist firm (red line): company B is unable to respond to company As cost- cutting, leading to its relative decline – with capitalist competition, in which both companies can reduce costs (green line): the arms race leads to greater changes in both firms than the original 10% change in productivity, and which continue indefinitely
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Structure of the talk the current discourse: – the market vs. the state – market failure real-economy competition between firms: – cost-tethered markets – cost competition free-floating markets – a model of bubbles – rationality conclusions
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Structure of the talk the current discourse: – the market vs. the state – market failure real-economy competition between firms: – cost-tethered markets – cost competition free-floating markets – a model of bubbles – rationality conclusions
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Markets that are not cost-tethered I not all markets are cost-tethered; these can be called free floating: the price depends only on what the potential buyer and seller can agree the main examples are in the financial sector, e.g. the stock market, but also collectibles (Baumol): there is no natural price to which actual prices gravitate, nor is there a unit cost that tethers the price price setting is thus highly dependent on what information is available commonly this is trend extrapolation
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Markets that are not cost-tethered II those could be called capital markets real estate is similar, but the dynamic is slightly different because a boom stimulates new construction; property booms are typically accompanied by a financial boom markets in commodities (e.g. minerals) have unit costs, which adjust slowly in response to price changes; futures are free-floating both could be regarded as aspects of land bubbles: self-fulfilling prophecy (+ve feedback)
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The model I starting from a standard market equilibrium model: D(P) = a – bP (1) S(P) = c + dP (2) where P is the price; D(P) and S(P) respectively represent the willingness to buy and to sell the asset now at the existing price; assuming for simplicity that the demand and the supply curves are both linear and given by the parameters a,b,c,d, with b,d > 0
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The standard market equilibrium model price quantity P1P1 Q1Q1 D S
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The model II trend extrapolation condition: perception of a price trend expected to continue into the future this brings about a price increment ΔP now to take into account the cost or benefit of waiting: the price modified by trend extrapolation is (P + ΔP); ΔP is negative with a falling trend ΔP can be represented by: ΔP = θP (3) where θ is the proportional expected future price increment
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The model III for simplicity the perceived trend P is regarded as linear θ is given by θ = f(P) (4) with f(.) an increasing function: θ 0 for P>0 θ may vary, e.g. in response to new information; or possibly investor sentiment or tendency to buy (Caginalp and Ermentrout 1990)
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The model IV The original equations now become: D(P) = a – bP + mθP (1) S(P) = c + dP – nθP (2) where m,n are parameters (>0) that determine the extent to which the price is affected by trend extrapolation
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The model IV The original equations now become: D(P) = a – bP + mθP = a – P(b – mθ) (1) S(P) = c + dP – nθP = c + P(d – nθ) (2) where m,n are parameters (>0) that determine the extent to which the price is affected by trend extrapolation
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The model IV The original equations now become: D(P) = a – bP + mθP = a – P(b – mθ) (1) S(P) = c + dP – nθP = c + P(d – nθ) (2) where m,n are parameters (>0) that determine the extent to which the price is affected by trend extrapolation Compare (1) and (2) with (1) and (2): D(P) = a – bP (1) S(P) = c + dP (2)
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The model IV The original equations now become: D(P) = a – bP + mθP = a – P(b – mθ) (1) S(P) = c + dP – nθP = c + P(d – nθ) (2) where m,n are parameters (>0) that determine the extent to which the price is affected by trend extrapolation Compare (1) and (2) with (1) and (2): D(P) = a – bP = a – P(b) (1) S(P) = c + dP = c + P(d) (2)
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The model V bubble occurrence depends on reversal of the sign of the coefficient of P we now have two conditions for this: if mθ > b, a rise in P will lead to a rise in D(P) (5) if nθ > d, a rise in P will lead to a fall in S(P) (6) under these conditions, therefore, instead of the usual decreasing function in P for D(P) and increasing function for S(P), as represented by equations (1) and (2), the situation is reversed (5) and (6) can be written as θ>b/m and θ>d/n
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The standard market equilibrium model price quantity P1P1 Q1Q1 D S
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A bubble price quantity P1P1 Q1Q1 D S
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A bubble price quantity P1P1 Q1Q1 DS
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A bubble price quantity P1P1 Q1Q1 DS
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A bubble price quantity P1P1 Q1Q1 DS
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The model VI recall that b,d,m,n > 0 therefore θ>b/m => θ>0 and θ>d/n => θ>0 the property of reversing the overall direction of equations (1) and (2) only occurs when θ>0, and thus also P>0 this model therefore predicts asymmetry – unlike most of the models in the bubbles literature
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The model VII D(P) = a – bP + mθP (1) S(P) = c + dP – nθP (2) in the case where θ<0, the terms mθP and nθP would have the same signs as bP and dP respectively they would merely accentuate the normal decreasing and increasing functions represented respectively by equations (1) and (2)
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The model VIII the model predicts what would happen either if θ>b/m and θ>d/n OR if θ<b/m and θ<d/n what if only one of these conditions is met? both are driven by θ, and therefore expected to move in the same direction – but not necessarily to reach these values simultaneously with no trend extrapolation: d > –b with mild trend extrapolation: d–nθ > mθ–b condition for a bubble: d–nθ < mθ–b i.e. when θ > (b+d)/(m+n)
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Comments on the model because θ varies over time, in response e.g. to information, bubbles tend not to progress linearly the point at which a bubble ends is difficult to predict, or even explain – as a bubble grows, it generates an increasing affordability gap; this together with new information are likely to determine when/why a bubble ends further work is needed on how to estimate the parameters empirically so: free-floating market plus trend extrapolation a bubble, given these quantitative conditions
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Structure of the talk the current discourse: – the market vs. the state – market failure real-economy competition between firms: – cost-tethered markets – cost competition free-floating markets – a model of bubbles – rationality conclusions
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Structure of the talk the current discourse: – the market vs. the state – market failure real-economy competition between firms: – cost-tethered markets – cost competition free-floating markets – a model of bubbles – rationality conclusions
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Other types of market this discussion does not exhaust the topic of types of market in particular, the labour market has long been recognised as having distinct properties: – failure to clear, i.e. the unemployment issue – backward-leaning supply curve of labour – observations, e.g. inter-industry wage differentials; standard-model predictions re fx of minimum wage – Akerlof: sociological component in wage setting factors of production are peculiar? – technology? other special cases, e.g. healthcare provision
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Methodological observations: systems the market mechanism as a negative feedback system leads to convergence, even without rationality or optimisation – theyre unnecessary specific types of market have other types of feedback: arms race, and self-fulfilling prophecy Forrester: systems containing feedback loops generate their own endogenous causal processes that make them less sensitive to initial conditions – they are also subject to exogenous causal influences – this is the obverse of complexity/chaotic behaviour
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Methodological observations: prices price setting is a feature that is common to the above analyses how prices are set is a weak spot in neoclassical theory – Walrasian tatonnement a particularly glaring example is the behaviour of prices and quantities in the labour market – wages and employment
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Conclusions I the idea that all markets have similar dynamic properties has led to a distorted analysis of many specific types – in particular, this view can explain neither specifically capitalist growth, nor bubbles in addition, it means that observed deviations of the real world from traditional theory have generated explanations in reactive mode (in relation to e.g. assumptions), or in terms of why the theory does not apply in particular cases (e.g. market failure of various types)
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Conclusions II analysing different types of market in systems terms uncovers their endogenous causal processes, thereby showing how not all of them converge towards a stable equilibrium the dynamic behaviour of the sub-components of the capitalist economy can then be dissected out, providing a clearer analysis of the sources of growth and of instability juxtaposition of capitalism/market economy/the free market against the state is crude, and conceals the heterogeneity within the former
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Thank you!
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Thank you! m.joffe@imperial.ac.uk
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Situational rationality I a rational calculation in the context of imperfect information can be seen as a form of bounded rationality, but limited calculating ability is not a feature here the extrapolated trend is external to each market participant => they have to join in, even with misgivings it is difficult to distinguish between behavioral theories built on investor irrationality and rational structural uncertainty theories built on incomplete information about the structure of the economic environment (Brav & Heaton)
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Situational rationality II Caginalp & Ermentrout: emotional; also group- think, optimism or panic e.g. Akerlof & Shiller: Animal spirits
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Situational rationality II Caginalp & Ermentrout: emotional; also group- think, optimism or panic e.g. Akerlof & Shiller: Animal spirits
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Situational rationality II Caginalp & Ermentrout: emotional; also group- think, optimism or panic e.g. Akerlof & Shiller: Animal spirits these emotions may occur – but are they causal? – hard to answer are they invariably present? consider someone buying a property to live in, when property is seen as likely to increase in price – its a calculation emotion is likely to be added to this, with a small group of operators + face-to-face contact: e.g. financial market traders; ? the real estate context
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