Part 5 Perfect Competition © 2006 Thomson Learning/South-Western Chapter 10 Perfect Competition in a Single Market © 2006 Thomson Learning/South-Western Pricing in the Very Short Run 3 The market period (very short run) is a short period of time during which quantity supplied is fixed. In this period, price acts to ration demand as it adjusts to clear the market. This situation is illustrated in Figure 10-1 where supply is fixed at Q*. FIGURE 10-1: Pricing in the Very Short Run Price S P1 D 0 4 Q* Quantity per week Pricing in the Very Short Run 5 When demand is represented by the curve D, P1 is the equilibrium price. The equilibrium price is the price at which the quantity demanded by buyers of a good is equal to the quantity supplied by sellers of the good. Shifts in Demand: Price as a Rationing Device 6 If demand were to increase, as illustrated by the new demand curve D’ in Figure 10-1, P1 is no longer the equilibrium price since the quantity demanded exceeds the quantity supplied. The new equilibrium price is now P2 where price has rationed the good to those who value it the most. FIGURE 10-1: Pricing in the Very Short Run Price S P2 P1 D’ D 0 7 Q* Quantity per week Construction of a Short-Run Supply Curve 8 The quantity that is supplied is the sum of the quantities supplied by each firm. The short-run market supply curve is the relationship between market price and quantity supplied of a good in the short run. In Figure 10-2 it is assumed that there are only two firms, A and B. FIGURE 10-2: Short-Run Market Supply Curve Price Price Price SA P 0 qA1 (a) Firm A 9 Output 0 Output (b) Firm B 0 Quantity per week (c) The Market FIGURE 10-2: Short-Run Market Supply Curve Price Price Price SB SA P 0 qA1 (a) Firm A 10 Output 0 qB1 Output 0 (b) Firm B Quantity per week (c) The Market FIGURE 10-2: Short-Run Market Supply Curve Price Price Price SB SA S P 0 qA1 (a) Firm A 11 Output 0 qB1 Output 0 (b) Firm B Q1 Quantity per week (c) The Market Construction of a Short-Run Supply Curve Both firm A’s and firm B’s short-run supply curves (their marginal cost curves) are shown in Figure 10-2(a) and Figure 10-2(b) respectively. The market supply curve is the horizontal sum of the two firms at every price. 12 In Figure 10-2(c), Q1 equals the sum of q1A and q1B. Short-Run Price Determination 13 Figure 10-3 (b) shows the market equilibrium where the market demand curve D and the short-run supply curve S intersect at a price of P1 and quantity Q1. This equilibrium would persist since what firms supply at P1 is exactly what people want to buy at that price. FIGURE 10-3: Interaction of Many Individuals and Firms Determine market price in the Short Run Price SMC Price S Price SAC P1 D 0 q1 q2 Output (a) Typical Firm 14 0 Q1 Q2 Quantity per week (b) The Market d 0 q1 q2 q‘1 Quantity (c) Typical Person FIGURE 10-3: Interaction of Many Individuals and Firms Determine market price in the Short Run Price SMC Price S Price SAC P2 D’ P1 d’ D 0 q1 q2 Output (a) Typical Firm 15 0 Q1 Q2 Quantity per week (b) The Market d 0 q1 q2 q‘1 Quantity (c) Typical Person Functions of the Equilibrium Price The price serves as a signal to producers about how much should be produced. 16 To maximize profit, firms will produce the output level for which marginal costs equal P1. This yields an aggregate production of Q1. Functions of the Equilibrium Price Given the price, utility maximizing individuals will decide how much of their limited incomes to spend 17 At price P1 the total quantity demanded is Q1. No other price brings about the balance of quantity demanded and quantity supplied. These situations are depicted in Figure 10-3 (a) and (b) for the typical firm and individual, respectively. Effect of an Increase in Market Demand 18 If the typical person’s demand for the good increases from d to d’, the entire market demand curve will shift to D’ as shown in figure 10-3. The new equilibrium is P2, Q2 where a new balance between demand and supply is established. Effect of an Increase in Market Demand 19 The increase in demand resulted in a higher equilibrium price, P2 and a greater equilibrium quantity, Q2. P2 has rationed the typical person’s demand so that only q2 is demanded rather than the q’1 that would have been demanded at P1. P2 also signals the typical firm to increase production from q1 to q2. Shifts in Demand Curves Demand will increase, shift outward, because 20 Income increases The price of a substitute rises The price of a complement falls Preferences for the good increase Shifts in Demand Curves Demand will decrease, shift inward, because 21 Income falls The price of a substitute falls The price of a complement rises Preferences for the good diminish Shifts in Supply Curves Supply will increase, shift outward, because Supply will decrease, shift inward, because 22 Input prices fall Technology improves Input prices rise Table 10-1: Reasons for a Shift in a Demand or Supply Curve Demand 23 Supply Shifts outward () because Income increases Price of substitute rises Price of complement falls Preferences for good increase Shifts outward () because Input prices fall Technology improves Shifts inward () because Income falls Price of substitute falls Price of complement rises Preferences for good diminish Shifts inward () because Input prices rise Short-Run Supply Elasticity The short-run elasticity of supply is the percentage change in quantity supplied in the short run in response to a 1 percent change in price. Percentage change in quantity supplied in short run Short - run supply elasticity . [10.1] Percentage change in price 24 Shifts in Supply Curves and the Importance of the Shape of the Demand Curve The effect of a shift in supply upon equilibrium levels of P and Q depends upon the shape of the demand curve. 25 If demand is elastic, as in Figure 10-4 (a), a decrease in supply has a small effect on price but a relatively large effect on quantity. If demand is inelastic, as in Figure 10-4 (b), the decrease in supply has a greater effect on price than on quantity. FIGURE 10-4: Effect of a Shift in the Short-Run Supply Curve on the Shape of the Demand Curve Price Price S P D S P D 0 Q Quantity per week (a) Elastic Demand 26 0 Q Quantity per week (b) Inelastic Demand FIGURE 10-4: Effect of a Shift in the Short-Run Supply Curve on the Shape of the Demand Curve S’ Price Price S’ S S P’ P’ P D P D 0 Q’ Q Quantity per week (a) Elastic Demand 27 0 Q’ Q Quantity per week (b) Inelastic Demand Shifts in Demand Curves and the Importance of the Shape of the Supply Curve The effect of a shift in demand upon equilibrium levels of P and Q depends upon the shape of the supply curve. 28 If supply is inelastic, as in Figure 10-5 (a), the effect on price is much greater than on quantity. If the supply curve is elastic, as in Figure 10-5 (b), the effect on price is relatively smaller than the effect on quantity. Figure 10-5: Effect of A shift in the Demand Curve Depends on the Shape of the Short-Run Supply Curve S Price Price S P’ P P D 0 Q Quantity 0 per week (a) Inelastic Supply 29 D Q Quantity per week (b) Elastic Supply Figure 10-5: Effect of A shift in the Demand Curve Depends on the Shape of the Short-Run Supply Curve S Price Price S P’ P D’ P’ P D’ D 0 Q Q’ Quantity 0 per week (a) Inelastic Supply 30 D Q Q’ Quantity per week (b) Elastic Supply FIGURE 10-6: Demand and Supply Curves for CDs Price S 10 6 2 0 31 4 D 10 CDs per week FIGURE 10-6: Demand and Supply Curves for CDs Price $12 S 10 7 6 5 2 0 32 3456 D D’ 10 12 CDs per week TABLE 10-2: Supply and Demand Equilibrium in the Market for CDs Supply Price $10 9 8 7 6 5 4 3 2 1 0 33 Q=P-2 Quantity Supplied (CDs per Week) 8 7 6 5 4 3 2 1 0 0 0 New equilibrium Demand Case 1 Case 2 Q = 10 – P q = 12 – P Quantity Demanded Quantity Demanded (CDs per Week) (CDs per Week) 0 2 1 3 2 4 3 5 6 4 5 7 6 8 7 9 8 10 9 11 10 12 Initial equilibrium Profit Maximization It is assumed that the goal of each firm is to maximize profits. 34 Since each firm is a price taker, this implies that each firm produce where price equals long-run marginal cost. This equilibrium condition, P = MC determines the firm’s output choice and its choice of inputs that minimize their long-run costs. Entry and Exit Entry will cause the short-run market supply curve to shift outward causing the market price to fall. 35 This will continue until positive economic profits are no longer available. Exit causes the short-run market supply curve to shift inward causing the market price to increase, eliminating the economic losses. Long-Run Equilibrium 36 P = MC results from the assumption that firm’s are profit maximizers. P = AC results because market forces cause long run economic profits to equal zero. In the long run, firm owners will only earn normal returns on their investments. Long-Run Supply: The Constant Cost Case 37 The constant cost case is a market in which entry or exit has no effect on the cost curves of firms. Figure 10-7 demonstrates long-run equilibrium for the constant cost case. Figure 10-7 (b) shows that market where the market demand and supply curves are D and S, respectively, and equilibrium price is P1. FIGURE 10-7: Long-Run Equilibrium for a Perfectly Competitive Market: Constant Cost Case Price Price SMC MC S AC P 1 D 0 q1 (a) Typical Firm 38 Output 0 Q1 (b) Total Market Quantity per week FIGURE 10-7: Long-Run Equilibrium for a Perfectly Competitive Market: Constant Cost Case Price Price SMC MC S AC P2 P 1 D D 0 q1 q2 (a) Typical Firm 39 Output 0 Q1 Q 2 (b) Total Market Quantity per week FIGURE 10-7: Long-Run Equilibrium for a Perfectly Competitive Market: Constant Cost Case Price Price SMC MC S AC S’ P2 LS P 1 D D 0 q1 q2 (a) Typical Firm 40 Output 0 Q1 Q2 Q3 (b) Total Market Quantity per week Long-Run Supply: The Constant Cost Case 41 The typical firm will produce output level q1 which results in Q1 in the market. The typical firm is maximizing profits since price is equal to long-run marginal cost. The typical firm is earning zero economic profits since price equals long-run average total costs. There is no incentive for exit or entry. A Shift in Demand 42 If demand increases to D’, the short-run price will increase to P2. A typical firm will maximize profits by producing q2 which will result in short-run economic profits (P2 > AC). Positive economic profits cause new firms to enter the market until economic profits again equal zero. A Shift in Demand 43 Since costs do not increase with entry, the typical firm’s costs curves do not change. The supply curve shifts to S’ where the equilibrium price returns to P1 and the typical firm produces q1 again. The new long-run equilibrium output will be Q3 with more firms in the market. Long-Run Supply Curve 44 Regardless of the shift in demand, market forces will cause the equilibrium price to return to P1 in the long-run. The long-run supply curve is horizontal at the low point of the firms long-run average total cost curves. This long-run supply curve is labeled LS in Figure 10-7 (b). FIGURE 10-8: Increasing Costs Result in a Positively Sloped Long-Run Supply Curve Price Price Price SMC MC SMC S D AC MC P2 AC P3 P3 P1 0 P1 q1 q2 Output (a) Typical Firm before Entry 45 0 q3 Output (b) Typical Firm after Entry 0 2 Q1 (c) The Market Quantity per week FIGURE 10-8: Increasing Costs Result in a Positively Sloped Long-Run Supply Curve Price Price SMC q1 q2 Output 0 S D P1 (a) Typical Firm before Entry 46 D’ P2 AC P1 0 Price AC MC P2 SMC MC q3 Output 0 (b) Typical Firm after Entry 2 Q1 Q2 Q3 (c) The Market Quantity per week FIGURE 10-8: Increasing Costs Result in a Positively Sloped Long-Run Supply Curve Price Price SMC MC P2 Price SMC MC D AC P1 q2 Output 0 (a) Typical Firm before Entry 47 S’ LS P3 P1 q1 S P2 AC P3 0 D’ q3 Output 0 (b) Typical Firm after Entry 2 Q1 Q2 Q3 (c) The Market Quantity per week The Increasing Cost Case 48 This case is shown in Figure 10-8, where the initial equilibrium price is P1 with the typical firm producing q1 with total output Q1. Economic profits are zero. The increase in demand to D’, with shortrun supply curve S, causes equilibrium price to increase to P2 with the typical firm producing q2 resulting in positive profits. The Increasing Cost Case 49 The positive profits entice firms to enter which drives up costs. The typical firm’s new cost curves are shown in Figure 10-8 (b). The new long-run equilibrium price is P3 with market output Q3. The long-run supply curve, LS, is positively sloped because of the increasing costs. Long-Run Supply Elasticity The long-run elasticity of supply is the percentage change in quantity supplied in the long run in response to a 1 percent change in price. Percentage change in quantity supplied in the long run Long - run elasticity of supply Percentage change in price 50 [10.5] TABLE 10-3: Estimated Long-Run Supply Elasticities 51 Industry Elasticity Estimate Agriculture Corn Soybeans Wheat Aluminum Coal Medical Care Natural Gas (U.S.) Crude Oil (U.S.) + 0.27 + 0.13 + 0.03 Nearly infinite + 15.0 + 0.15 - + 0.60 + 0.50 +0.75 The Decreasing Cost Case 52 The initial equilibrium is shown as P1, Q1 in Figure 10-9 (c). The increase in demand from D to D’ results in the short-run equilibrium, P2, Q2 where the typical firm is earning positive economic profits. Entry drives down costs for the typical firm, as shown in Figure 10-9 (b). FIGURE 10-9: Decreasing Costs Result in a Negatively Sloped Long-Run Supply Curve Price Price SMC D MC P2 AC P1 0 Output 0 (a) Typical Firm before Entry 53 SMC MC AC q1 S Price P1 Output 0 (b) Typical Firm after Entry 2 Q1 (c) The Market Quantity per week FIGURE 10-9: Decreasing Costs Result in a Negatively Sloped Long-Run Supply Curve Price Price Price SMC D MC P2 AC P1 0 P2 SMC MC AC q1 q2 Output 0 P1 Output 0 (a) Typical Firm before Entry (b) Typical Firm after Entry 54 S D’ 2 Q1 Q2 (c) The Market Quantity per week FIGURE 10-9: Decreasing Costs Result in a Negatively Sloped Long-Run Supply Curve Price Price Price SMC D MC P2 P2 AC SMC P1 q1 q2 Output 0 (a) Typical Firm before Entry 55 S’ MC AC P3 0 S D’ P1 2 P3 q3 Output 0 (b) Typical Firm after Entry LS Q1 Q2 (c) The Market Q3 Quantity per week The Decreasing Cost Case 56 Entry continues until short-run economic profits are eliminated. The new long-run equilibrium is P3, Q3 as shown in Figure 10-9 (c). The long-run supply curve is downward sloping due to the decreasing costs as labeled LS in Figure 10-9 (c).