Chapter 8 Perfect Competition © 2006 Thomson/South-Western 1 Terminology An industry consists of all firms that supply output to a particular market, interchangeable with market Many of the firm’s decisions depend on the structure of the market in which it operates Market structure describes the important features of a market 2 Market Structure Number of suppliers Product’s degree of uniformity Do firms in the market supply identical products or are there differences across firms? Ease of entry into the market Can new firms enter easily or are they blocked by natural or artificial barriers? Forms of competition among firms Do firms compete only through prices or are advertising and product differences common as well? 3 Perfectly Competitive Market Structure Many buyers and sellers Each buys and sells only a tiny fraction of the total amount exchanged in the market Standardized or homogeneous product Buyers and sellers are fully informed about the price and availability of all resources and products Firms and resources are freely mobile over time they can easily enter or leave the industry 4 Perfect Competition Individual participants have no control over the price Price is determined by market supply and demand the perfectly competitive firm is a price taker it must “take” or accept, the market price Firm is free to produce whatever quantity maximizes profit 5 Exhibit 1: Market Equilibrium and the Firm’s Demand Curve in Perfect Competition Market price of wheat of $5 per bushel is determined in the left panel by the intersection of the market demand curve and the market supply curve. Once the market price is established, farmer can sell all he or she wants at that market price price taker (b) Firm’s Demand Price per bushel S $5 Price per bushel (a) Market Equilibrium d $5 D 0 1,200,000 Bushels of wheat per day 0 5 10 Bushels of 15 wheat per day 6 Total Revenue Minus Total Cost The firm maximizes economic profit by finding the rate of output at which total revenue exceeds total cost by the greatest amount Total revenue is simply output times the price per unit Exhibits 2 and 3 provide us with the needed information 7 Exhibit 2: Short-Run Costs and Revenues (1) (2) (3) = (1) (2) (4) Bushels of Marginal Wheat Revenue Total Total per day (Price) Revenue Cost (q) (p) (TR = q p) (TC) 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 -$5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 $0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 $15.00 19.75 23.50 26.50 29.00 31.00 32.50 33.75 35.25 37.25 40.00 43.25 48.00 54.50 64.00 77.50 96.00 (5) (6) = (4) + (1) (7) = (3) - (4) Marginal Average Economic Cost Total Cost Profit or MC=TC/ Q ATC = TC / q Loss = TR - TC -$4.75 3.75 3.00 2.50 2.00 1.50 1.25 1.50 2.00 2.75 3.25 4.75 6.50 9.50 13.50 18.50 $19.75 11.75 8.83 7.25 6.20 5.42 4.82 4.41 4.14 4.00 3.93 4.00 4.19 4.57 5.17 6.00 -$15.00 -14.75 -13.50 -11.50 -9.00 -6.00 -2.50 1.25 4.75 7.75 10.00 11.75 12.00 10.50 6.00 -2.50 -16.00 8 Exhibit 3: Short-Run Profit Maximization (a) Total Revenue Minus Total Cost Total dollars At output less than 7 bushels and greater than 14 bushels, total cost exceeds total revenue economic loss measured by the vertical distance between the two curves Total revenue exceeds total cost between 7 and 14 bushels per day economic profit is maximized at the rate of 12 bushels of wheat per day Total revenue (= $5 × q ) Total cost $60 Maximum economic profit = $12 48 15 0 5 7 10 12 15 Bushels of wheat per day 9 Marginal Revenue Equals Marginal Cost Marginal revenue, MR, is the change in total revenue from selling another unit of output Since the firm in perfect competition is a price taker, marginal revenue from selling one more unit is the market price MR = P Marginal cost is the change in total cost resulting from producing another unit of output 10 Exhibit 2: Short-Run Costs and Revenues The firm will increase quantity supplied as long as each additional unit adds more to total revenue that to total cost – as long as MR exceeds MC MR exceeds MC for the first 12 bushels Profit maximizer will limit output to 12 bushels per day (1) (2) (3) = (1) (2) (4) Bushels of Marginal Wheat Revenue Total Total per day (Price) Revenue Cost (q) (p) (TR = q p) (TC) 0 1 2 3 4 5 6 7 8 9 10 11 -$5 5 5 5 5 5 5 5 5 5 5 $0 5 10 15 20 25 30 35 40 45 50 55 $15.00 19.75 23.50 26.50 29.00 31.00 32.50 33.75 35.25 37.25 40.00 43.25 12 5 60 48.00 13 14 15 16 5 5 5 5 65 70 75 80 54.50 64.00 77.50 96.00 (5) (6) = (4) + (1) Marginal Average Cost Total Cost MC=TC/ Q ATC = TC / q -$4.75 3.75 3.00 2.50 2.00 1.50 1.25 1.50 2.00 2.75 3.25 (7) = (3) - (4) Economic Profit or Loss = TR - TC $19.75 11.75 8.83 7.25 6.20 5.42 4.82 4.41 4.14 4.00 3.93 -$15.00 -14.75 -13.50 -11.50 -9.00 -6.00 -2.50 1.25 4.75 7.75 10.00 11.75 4.75 4.00 12.00 6.50 9.50 13.50 18.50 4.19 4.57 5.17 6.00 10.50 6.00 -2.50 -16.00 11 Exhibit 3b: Short-Run Profit Maximization (b) Marginal Cost Equals Marginal Revenue Marginal cost Dollars per unit The MC curve intersects the MR curve at point e, where output is 12 bushels per day At rates of output less than 12 bushels, MR > MC – firm can increase profit by expanding output At higher rates of output MC > MR – firm can increase profits by reducing output Profit appears in the blue shaded rectangle and equals the price of $5 minus the average cost of $4, or $1 per bushel Average total cost e $5 d = Marginal revenue = average revenue Profit 4 a 0 5 10 12 15 Bushels of wheat per day 12 Marginal Revenue Equals Marginal Cost Golden rule of profit maximization: Generally, a firm will expand output as long as marginal revenue exceeds marginal cost and will stop expanding output before marginal cost exceeds marginal revenue 13 Economic Profit in the Short Run Because the perfectly competitive firm can sell any quantity for the same price per unit, marginal revenue is also average revenue Average revenue, AR, equals total revenue divided by quantity AR = TR / q Regardless of the rate of output, the following equality holds along the firm’s demand curve Market price = marginal revenue = average revenue 14 Minimizing Short-Run Losses Sometimes the price that the firm is required to “take” will be so low that no rate of output will yield an economic profit Faced with losses at all rates of output, the firm has two options It can continue to produce at a loss, or Temporarily shut down It cannot shut down in the short run because by definition the short run is a period too short to allow existing firms to leave or new firms to enter 15 Exhibit 4: Minimizing Losses (1) (2) (3) = (1) (2) (4) Bushels of Marginal Wheat Revenue Total Total per day (Price) Revenue Cost (q) (p) (TR = q p) (TC) 0 1 2 3 4 5 6 7 8 9 -$3 3 3 3 3 3 3 3 3 10 11 12 13 14 15 16 3 3 3 3 3 3 3 (5) (7) Average Marginal Average Variable Cost Total Cost Cost MC=TC/Q ATC = TC /q AVC = TVC / q $0 3 6 9 12 15 18 21 24 27 $15.00 19.75 23.50 26.50 29.00 31.00 32.50 33.75 35.25 37.25 -$4.75 3.75 3.00 2.50 2.00 1.50 1.25 1.50 2.00 30 40.00 33 36 39 42 45 48 43.25 48.00 54.50 64.00 77.50 96.00 (6) = (4) + (1) (8) = (3) - (4) Economic Profit or Loss = TR - TC $19.75 11.75 8.83 7.25 6.20 5.42 4.82 4.41 4.14 -$4.75 4.25 3.83 3.50 3.20 2.92 2.68 2.53 2.47 -$15.00 -16.75 -17.50 -17.50 -17.00 -16.00 -14.50 -12.75 -11.25 -10.25 2.75 4.00 2.50 -10.00 3.25 4.75 6.50 9.50 13.50 18.50 3.93 4.00 4.19 4.57 5.17 6.00 2.57 2.75 3.04 3.50 4.17 5.06 -10.25 -12.00 -15.50 -22.00 -32.50 -48.00 Marginal revenue exceeds marginal cost for the first 12 bushels of wheat. Because of the lower price, total revenue is lower at all rates of output and economic profit has disappeared column (8) Column (8) indicates that the firm’s loss is minimized at $10 per day when 10 bushels are produced the net gain of $5 total cost. Exhibit 5 illustrates this same conclusion graphically 16 Exhibit 5: Minimizing Short-Run Losses (a) Total Cost and Total Revenue Total dollars Total cost Total revenue (= $3 × q ) $40 30 Minimum economic loss = $10 15 0 5 10 15 Bushels of wheat per day b) Marginal Cost Equals Marginal Revenue Dollars per bushel In panel (a), Total revenue is lower because of the lower price Total revenue now lies below the total cost curve at all output rates. The vertical distance between the two curves measures the loss at each rate of output The vertical distance is minimized at an output rate of 10 bushels where the loss is $10 per day Same result in panel b Firm will produce rather than shut down if MR = MC at a rate of output where price equals or exceeds average variable cost At point e, output is 10 bushels per day and the price of $3 exceeds the average variable cost of $2.50 Total economic loss shown by shaded area Marginal cost Average total cost $4.00 3.00 2.50 0 Average variable cost Loss 5 e 10 d = Marginal revenue = average revenue 15 Bushels of wheat per day 17 Shutting Down in the Short Run As long as the loss that results from producing is less than the shutdown loss, the firm will remain open for business in the short run If the average variable cost of production exceeds the price of all rates of output, the firm will shut down A re-examination of previous exhibit indicates that if the price of wheat were to fall to $2 per bushel, average variable cost exceeds $2 at all rates of output 18 Shutting Down in the Short Run Shutting down is not the same as going out of business In the short run, even a firm that shuts down keeps its productive capacity intact that when demand increases enough, the firm will resume operation If market conditions look grim and are not expected to increase, the firm may decide to leave the market a long run decision 19 Exhibit 6: Summary of Short-Run Output Decisions Marginal cost Break-even point Dollars per unit At p1, the firm will shut down rather than operate because price is below average variable cost at all output rates. If the price is p3, the firm will produce q3 to minimize its loss while at p4, the firm will produce q4 to earn just a normal profit: break-even point At p2, the firm is indifferent: shutdown point If the price rises to p5, the firm will earn a short-run economic profit by producing q5 5 p5 4 p4 3 p3 2 p2 p1 d Average total cost 5 d Average variable cost 4 d3 1 The short-run supply curve is the upwardsloping portion of the marginal cost curve beginning at point 2. Shutdown point 0 q1 d2 d1 q2 q3 q4 q5 Quantity per period 20 Short-Run Firm Supply Curve As long as the price covers average variable cost, the firm will supply the quantity resulting from the intersection of its upward-sloping marginal cost curve and its marginal revenue, or demand curve Thus, that portion of the firm’s marginal cost curve that intersects and rises above the lowest point on its average variable cost curve becomes the short-run firm supply curve 21 Exhibit 7: Aggregating Individual Supply to Form Market Supply Price per unit (a) Firm A (b) Firm B SA (d) Industry, or market, supply (c) Firm C SA+ SB+ SC = S SC SB p' p' p' p' p p p p 0 10 20 0 Quantity per period 10 20 Quantity per period 0 10 20 Quantity per period 0 30 60 Quantity per period At a price below p, no output is supplied At a price of p, each firm supplies 10 units: a market supply of 30 units At a price of p', each firm supplies 20 units: a market supply of 60 units The short-run industry supply curve is the horizontal sum of all firms’ short-run supply curves: horizontal summation of the firm level marginal cost curves 22 Exhibit 8: Relationship Between Short-Run Profit Maximization and Market Equilibrium (b) Industry, or market Price per unit (a) Firm MC = s ATC AVC $5 4 Profit d ΣMC = S $5 D 0 5 10 12 Bushels of wheat per day 0 1,200,000 Bushels of wheat per day •If there are 100,000 identical wheat farmers, their individual supply curves are summed horizontally to yield the market supply curve, panel b, where market price of $5 is determined. •At this price, each farmer produces 12 bushels per day, as in panel a, for a total quantity supplied of 1,200,000 bushels per day 23 •Each farmer earns an economic profit of $12 per day as shown by the shaded rectangle. Perfect Competition in Long Run Firms have time to enter and exit and to adjust their scale of their operations: there is no distinction between fixed and variable cost because all resources under the firm’s control are variable Short-run economic profit will in the long run encourage new firms to enter the market and may prompt existing firms to expand the scale of their operations: the industry supply curve shifts rightward in the long run, driving down the price New firms will continue to enter a profitable industry and existing firms will continue to increase in size as long as economic profit is greater than zero 24 Exhibit 9: Long Run Equilibrium for the Firm and the Industry (a) Firm (b) Industry, or market S ATC LRAC p e d Price per unit Dollars per unit MC p D 0 q Quantity per period 0 Q Quantity per period In the long run, market supply adjusts as firms enter or leave, or change their size. This process continues until the market supply intersects the market demand at a price that equals the lowest point on each firm’s long-run average cost curve, at point e with each firm producing q units. At point e, 25 marginal cost, short-run average total cost and long-run average cost are all equal. Exhibit 10: Long-Run Adjustment to an Increase in Demand (b) Industry, or Market (a) Firm S S' p' d' ATC LRAC Profit p d Price per unit Dollars per unit MC p' b a c p S* D' D 0 q q' Quantity per period 0 Qa Qb Qc Quantity per period Initial point of equilibrium is a in panel b: individual firm supplies q units and earns a normal profit Suppose market demand increases from D to D': market price increases in short run to p' Firms respond by expanding output along the short-run supply curve – quantity supplied increases to q‘: economic profits attract new firms, market supply curve shifts to S' where it intersects D' at point c: price returns to initial equilibrium level Demand curve facing the individual firm shifts back down from d' to d 26 Exhibit 11: Long-Run Adjustment to a Decrease in Demand (a) Firm (b) Industry, or Market S" ATC LRAC e p d Loss p" d" Price per unit Dollars per unit MC g S a p f p" S* D D" 0 q" q Quantity per period 0 Qg Qf Qa Quantity per period Initial long-run equilibrium shown by point a in the market and e for the firm Market demand declines from D to D” – market price falls to p” – demand curve facing each firm drops to d” – firm responds by reducing its output to q” and market output falls to Qf: each firm faces a loss In the long run some firms go out of business: market supply will decrease from S to S" – price increases back to p and the new market equilibrium is shown by point g. Market output has fallen to 27 Q and the remaining firms are just earning a normal profit as demand shifts back to d. Long-Run Industry Supply Curve Beginning at an initial long-run equilibrium point, with demand shifting, we found two more long-run equilibrium points Connecting these long-run equilibrium points yields the long-run industry supply curve, labeled S* in both of these exhibits Shows the relationship between price and quantity supplied once firms fully adjust to any short-term economic profit or loss resulting from a shift in demand 28 Constant-Cost Industry Firm’s long-run average cost curve does not shift as industry output expands Resource prices and other production costs remain constant in the long run as industry output increases or decreases Each firm’s per-unit production costs are independent of the number of firms in the industry: the firm’s longrun average cost curve remains constant in the long run as firms enter or leave the industry The industry uses such a small portion of the resources available that increasing industry output does not bid up resource prices The long-run supply curve for a constant-cost industry is horizontal 29 Increasing-Cost Industry Firms in some industries encounter higher average costs as industry output expands in the long run Firms in these increasing-cost industries find that expanding output bids up the prices of some resources or otherwise increases per-unit production costs: each firm’s cost curves shift upward 30 Exhibit 12: An Increasing-Cost Industry (a) Firm (b) Industry, or Market S ATC pa a da Price per unit Dollars per unit MC p a a D 0 q Quantity per period 0 Qa Quantity per period The initial position of equilibrium is shown at point a, where the initial market demand and supply curves are D and S - the market price is pa and the market quantity Qa – the demand and marginal revenue curve facing each firm is da – the firm produces q, average total cost is at a minimum: firm 31 earns no economic profit in this long-run equilibrium Exhibit 12: An Increasing-Cost Industry (a) Firm (b) Industry, or Market S b pb db ATC pa da a Price per unit Dollars per unit MC pb b D' p a a D 0 q 0 qb Quantity per period Qa QbQuantity per period Increase in market demand is shown by the shift from D to D‘, which intersects the short-run market supply curve S at point b: short-run equilibrium price pb and market quantity Qb – each firm’s demand curve shifts from da up to db – b in the left panel where the marginal cost curve intersects the new demand curve – each firm produces qb: economic profit equal to qb times the difference between 32 the pb and the average total cost at that rate of output Exhibit 12: An Increasing-Cost Industry (a) Firm (b) Industry, or Market MC' S S' pb pc b ATC' c pa db ATC dc da a Price per unit Dollars per unit MC pb b pc c D' p a a D 0 q qb Quantity per period 0 Qa Qb Qc Quantity per period The existence of economic profit attracts new entrants but because this is an increasing-cost industry, new entrants’ increased demand for resources drives up the costs of production and raises each firm’s marginal and average cost curves. In the left panel, MC and ATC shift up to MC' and ATC'. The entry of the new firms also shifts the short-run industry supply curve outward from S to S' decline 33 in the market price from b to c. Exhibit 12: An Increasing-Cost Industry (a) Firm (b) Industry, or Market MC' S S' pb pc b ATC' c pa db ATC dc da a Price per unit Dollars per unit MC pb b S* pc c D' p a a D 0 q qb Quantity per period 0 Qa Qb Qc Quantity per period A combination of a higher production cost and a lower price squeezes economic profit to zero: S'. Market price does not fall back to initial equilibrium level because each firm’s ATC shifted up with the expansion of industry output. New long-run market equilibrium occurs at point c, and when points a 34 and c are connected, we get the upward sloping long-run market supply curve shown as S* Perfect Competition and Efficiency There are two concepts of efficiency used to judge market performance Productive efficiency refers to producing output at the least possible cost Allocative efficiency refers to producing the output that consumers value the most Perfect competition guarantees both allocative and productive efficiency in the long run 35 Productive Efficiency: Making Stuff Right Productive efficiency occurs when the firm produces at the minimum point on its long-run average-cost curve the market price equals the minimum average total cost The entry and exit of firms and any adjustment in the scale of each firm ensure that each firm produces at the minimum point on its long-run average cost curve 36 Allocative Efficiency: Making the Right Stuff Occurs when firms produce the output that is most valued by consumers The demand curve reflects the marginal value that consumers attach to each unit the market price is the amount of money that people are willing and able to pay for the final unit they consume In both the short run and the long run, the equilibrium price in perfect competition equals the marginal cost of supplying the last unit sold 37 Allocative Efficiency Marginal cost measures the opportunity cost of all resources employed by the firm to produce the last unit sold Supply and demand curves intersect at the combination of price and quantity at which the marginal value, benefit that consumers attach to the final unit purchased, just equals the opportunity cost of the resources employed to produce that unit There is no way to reallocate resources to increase the total utility consumers reap from production 38 What’s So Perfect About Perfect Competition? Market exchange benefits both consumers and producers Recall that consumers garner a surplus from market exchange because the maximum amount they would be willing to pay for each unit of the good exceeds the amount they in fact pay 39 Exhibit 13: Consumer Surplus and Producer Surplus Consumer surplus is the area below the demand curve but above the market clearing price of $10 Producers also derive a net surplus from market exchange because the amount they receive for their output exceeds the minimum amount they would require to supply the amount The short-run market supply curve is the sum of that portion of each firm’s marginal cost curve at or above the minimum point on its average variable cost, point m on the market supply curve S Dollars per unit Consumer surplus S e $10 Producer surplus D 5 m Quantity per period 0 100,000 120,000 200,000 40 If price increases from $5 to $6, firms increase quantity supplied until marginal cost equals $6: output increases from 100,000 to 120,000 and total revenue increases from $500,000 to $720,000. In the short run, producer surplus is total revenue minus variable cost of production. Market clearing price is $10 Productive and allocative efficiency in the short run occurs at point e. Dollars per unit Exhibit 13: Consumer Surplus and Producer Surplus Consumer surplus e $10 6 5 0 S Producer surplus D m 100,000 120,000 200,000 Quantity per period 41 Producer Surplus Not the same as economic profit Any price that exceeds average variable cost will result in a short-run producer surplus, even though that price could result in a shortrun economic loss Ignores fixed cost, because fixed cost is irrelevant to the firm’s short-run production decision 42