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Published byJudith Lucas Modified over 9 years ago
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Evaluating the Welfare Effects of Government Policy: CS & PS
Price Consumer Surplus D 10 7 Consumer B Consumer A Between 0 and Q0 consumers A and B receive a net gain from buying the product-- consumer surplus S 5 Q0 Consumer C Producer Surplus Between 0 and Q0 producers receive a net gain from selling each product-- producer surplus. Quantity 9
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Price Ceilings and the Welfare Loss
Pmax Q1 Q2 Suppose the government imposes a price ceiling Pmax which is below the market-clearing price P0. Price S D The loss to producers is the sum of rectangle A and triangle C. Triangle B and C together measure the deadweight loss. B A C The gain to consumers is the difference between the rectangle A and the triangle B. Deadweight Loss P0 Q0 Chapter 9 Quantity 13
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Price Ceiling: Demand Is Inelastic
B A Pmax C Q1 If demand is sufficiently inelastic, triangle B can be larger than rectangle A and the consumer suffers a net loss from price controls. Example Oil price controls and gasoline shortages in 1979 Price S D P0 Q2 Quantity Chapter 9 17
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Price Controls and Natural Gas Shortages
($/mcf) S D B A 2.40 C The gain to consumers is rectangle A minus triangle B, and the loss to producers is rectangle A plus triangle C. 2.00 18 (Pmax)1.00 5 10 15 20 25 30 Quantity (Tcf) Chapter 9 25
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Price Floors and the Welfare Loss
Q3 A B C Q2 What would the deadweight loss be if QS = Q2? When price is regulated to be no lower than P2 only Q3 will be demanded. The deadweight loss is given by triangles B and C Price S D P0 Q0 Chapter 9 Quantity 37
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Price Floor: The Minimum Wage
wmin L1 L2 Unemployment Firms are not allowed to pay less than wmin. This results in unemployment. w S D w0 L0 B The deadweight loss is given by triangles B and C. C L Chapter 9 55
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Price Floors: Airline Deregulation
Q1 Pmin Q2 Prior to deregulation price was at Pmin and QD = Q1 and Qs = Q3. S D P0 Q0 Price Q3 D Area D is the cost of unsold output. B A C After deregulation: Prices fell to PO. The change in consumer surplus is A + B. Quantity Chapter 9 59
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Agricultural Price Floors: Price Supports and Production Quotas
The cost to the government is the speckled rectangle Ps(Q2-Q1) Price D + Qg Qg S To maintain a price Ps, the government buys quantity Qg . The change in CS = -A – B; the change in PS = A + B + D. Total welfare loss is D-(Q2-Q1)ps Ps A B D P0 Total Welfare Loss D Q1 Q0 Q2 Quantity Chapter 9 66
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Price Floors: Supply Restrictions
PS S’ Q1 Supply restricted to Q1 Supply shifts to Q1 Ps is maintained with production quota and/or financial incentive Cost to government = B + C + D Price D P0 Q0 S B A CS reduced by A + B Change in PS = A - C Deadweight loss = BC C D Quantity Chapter 9 71
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Import Tariff or Quota: General Case
The increase in price can be achieved by a quota or a tariff A = the gain to domestic producers The loss to consumers = A + B + C + D If a tariff is used the government gains D, so the net domestic product loss is B + C. If a quota is used instead, D becomes part of the profits of foreign producers, and the net domestic loss is B + C + D. D S Price D C B QS QD Q’S Q’D A P* Pw Quantity Chapter 9 94
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US Sugar Quota in 1997 SUS DUS D A B Price PW = 11 PUS = 21.9 C
D = the gain to foreign firms with quota rights = $600m B and C = the DWL = $800 m. SUS DUS Price (cents/lb.) PW = 11 PUS = 21.9 C D B QS = 4.0 Q’S = 15.6 Q’d = 21.1 Qd = 24.2 A The cost of the quotas to consumers was A + B + C + D, or $2.4b. The gain to producers was area A, or $1b. 20 16 11 8 4 5 10 15 20 25 30 Quantity (billions of pounds) 100
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Incidence of a Specific Tax
Q1 PS Pb t Pb is the price (including the tax) paid by buyers. PS is the price sellers receive, net of the tax. The burden of the tax is split evenly. Price D S B D A Buyers lose A + B, and sellers lose D + C, and the government earns A + D in revenue. The deadweight loss is B + C. C P0 Q0 Quantity Chapter 9 106
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Incidence of a Specific Tax
Conditions that must be satisfied after the tax is in place: 1) Quantity sold and Pb must be on the demand line: QD = QD(Pb) 2) Quantity sold and PS must be on the supply line: QS = QS(PS) 3) QD = QS 4) Pb - PS = tax Chapter 9 107
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Impact of a Tax Depends on Es & Ed
Burden on Buyer Burden on Seller S D Price Price Q1 Pb PS t Q1 Pb PS t Q0 P0 Quantity Quantity 110
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Impact of a 50 Cent Gasoline Tax
Deadweight loss = $2.75 billion/yr S D 60 Price ($ per gallon) 1.50 D A Lost Consumer Surplus Lost Producer PS = .72 Pb = 1.22 The annual revenue from the tax is .50(89) or $44.5 billion. The buyer pays 22 cents of the tax, and the producer pays 28 cents. 89 t = 0.50 11 100 P0 = 1.00 .50 Quantity (billion gallons per year) 50 150 Chapter 9 122
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upon the elasticities of
Effect of a Subsidy Price D S Q1 PS Pb s Like a tax, the benefit of a subsidy is split between buyers and sellers, depending upon the elasticities of supply and demand. P0 Q0 Quantity Chapter 9 114
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The Efficiency of a Competitive Market: Any Market Failure?
1) Externalities: Costs or benefits that are not reflected in the market price (e.g. pollution) 2) Lack of Information: Imperfect information prevents consumers from making utility- maximizing decisions. Government intervention in these markets can increase efficiency. Government intervention without market failure creates inefficiency or DWL. Chapter 9 30
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