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© 2009 Pearson Education Canada 8/1 Chapter 8 The Theory of Perfect Competition
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© 2009 Pearson Education Canada 8/2 A Competitive Model of exchange In an exchange economy, goods are exchanged but not produced. Reservation price is the maximum amount a person is willing to pay for a good. Market demand & market supply functions give the total number of units demanded & supplied at a given price.
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© 2009 Pearson Education Canada 8/3 Figure 8.1 Demand and supply
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© 2009 Pearson Education Canada 8/4 From Figure 8.1 All individuals supply/demand only one unit of the good and their individual demand/supply curves are given by their reservation willingness to pay for a good. The decision to be “in” or “out” of the market is called the extensive margin.
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© 2009 Pearson Education Canada 8/5 Figure 8.2 Competitive equilibrium in an exchange economy
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© 2009 Pearson Education Canada 8/6 From Figure 8.2 Imagine there is a Walrasian auctioneer who acts as a price setter. If quantity demanded/supplied at the announced price exceeds quantity supplied/demanded there is excess demand/supply.
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© 2009 Pearson Education Canada 8/7 From Figure 8.2 The auction ends in a competitive equilibrium only when quantity demanded equals quantity supplied. This competitive allocation is Pareto- optimal or efficient.
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© 2009 Pearson Education Canada 8/8 The Function of Price In a market economy, prices are the signal that guide and direct allocation.
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© 2009 Pearson Education Canada 8/9 The Assumptions of Perfect Competition 1. Large Numbers : No individual demander or supplier produces a significant proportion of the total output. 2. Perfect Information : All participants have perfect knowledge of all relevant prices and technology. 3. Product Homogeneity : In any given market, all firms’ products are identical. 4. Perfect Mobility of Resources (Inputs). 5. Independence : Individual consumption and production decisions are independent of all other consumption/production decisions.
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© 2009 Pearson Education Canada 8/10 Firm’s Short-run Supply Decision A firm’s profit ( π) is its total revenue (TR) minus short-run total costs (STC). The profit function is expressed as: π (y) = TR(y)-STC(y) π (y) = TR(y)-STC(y) Profit is maximized at y *, as a function of the exogenous variable price (p). The slope of the profit function with respect to output is zero at y *.
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© 2009 Pearson Education Canada 8/11 Figure 8.4 Profit maximization
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© 2009 Pearson Education Canada 8/12 Marginal Revenue and Marginal Cost The slope of the total revenue function is marginal revenue (MR). The slope of the total cost function is marginal cost (MC). The firm will maximize profits by equating MR & MC: SMC(y * )=MR=p
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© 2009 Pearson Education Canada 8/13 Figure 8.5 The competitive firm’s supply function
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© 2009 Pearson Education Canada 8/14 From Figure 8.5 Short-run profit maximization requires SMC(y * )=MR=p, subject to two qualifications: 1. SMC is rising. 2. p>minimum value of AVC.
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© 2009 Pearson Education Canada 8/15 Profit Maximization Profit can be expressed as: π (y * ) = y * [p-SAC(y)] Where: p-SAC(y) is profit per unit of y
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© 2009 Pearson Education Canada 8/16 Figure 8.6 The profit rectangle
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© 2009 Pearson Education Canada 8/17 Figure 8.7 Aggregating demand
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© 2009 Pearson Education Canada 8/18 Figure 8.8 Aggregating supply
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© 2009 Pearson Education Canada 8/19 Figure 8.9 Short-run competitive equilibrium
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© 2009 Pearson Education Canada 8/20 Efficiency of the Short-Run Competitive Equilibrium The short-run equilibrium shown in Figure 8.9 is considered to be efficient because it maximizes consumer surplus and producer surplus. The sum of consumer surplus and producer surplus, known as total surplus, is a measure of the aggregate gains from trade realized in this market.
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© 2009 Pearson Education Canada 8/21 Long-Run Competitive Equilibrium There are two conditions of long- run equilibrium: 1. No established firm wants to exit the industry. 2. No potential firm wants to enter the industry.
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© 2009 Pearson Education Canada 8/22 Long-Run Competitive Equilibrium Positive profit is a signal that induces entry, or allocation of additional resources to the industry. Losses are a signal that induces exit, or the allocation of fewer resources to the industry. In long-run equilibrium, price equals the minimum average cost which is the efficient scale of production.
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© 2009 Pearson Education Canada 8/23 Figure 8.10 Exit, entry, and long-run competitive equilibrium
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© 2009 Pearson Education Canada 8/24 Figure 8.11 The firm in long-run competitive equilibrium
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© 2009 Pearson Education Canada 8/25 Long-Run Supply Function The long-run competitive equilibrium is determined by the intersection of LRS and the demand function. Deriving LRS incorporates changes in input prices that arise as industry-wide output expands. These changes determine whether the industry is a constant, increasing, or decreasing cost industry.
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© 2009 Pearson Education Canada 8/26 Figure 8.12 LRS in the constant-cost case
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© 2009 Pearson Education Canada 8/27 Figure 8.13 LRS in the increasing-cost case
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