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Chapter 14 Markets for Factor Inputs Topics to be Discussed Competitive Factor Markets Equilibrium in a Competitive Factor Market Factor Markets with Monopsony Power Factor Markets with Monopoly Power Chapter 14 Slide 2 Competitive Factor Markets Characteristics 1) Large number of sellers of the factor of production 2) Large number of buyers of the factor of production 3) The buyers and sellers of the factor of production are price takers Chapter 14 Slide 3 Competitive Factor Markets Demand for a Factor Input When Only One Input Is Variable Demand for factor inputs is a derived demand… Chapter 14 derived from factor cost and output demand Slide 4 Competitive Factor Markets Demand for a Factor Input When Only One Input Is Variable Assume Chapter 14 Two inputs: Capital (K) and Labor (L) Cost of K is r and the cost of labor is w K is fixed and L is variable Slide 5 Competitive Factor Markets Demand for a Factor Input When Only One Input Is Variable Problem Chapter 14 How much labor to hire Slide 6 Competitive Factor Markets Demand for a Factor Input When Only One Input Is Variable Measuring the Value of a Worker’s Output Marginal Revenue Product of Labor (MRPL) MRPL = (MPL)(MR) Chapter 14 Slide 7 Competitive Factor Markets Demand for a Factor Input When Only One Input Is Variable Assume perfect competition in the product market Chapter 14 Then MR = P Slide 8 Competitive Factor Markets Demand for a Factor Input When Only One Input Is Variable Question Chapter 14 What will happen to the value of MRPL when more workers are hired? Slide 9 Marginal Revenue Product Wages ($ per hour) Competitive Output Market (P = MR) Monopolistic Output Market (P < MR) MRPL = MPLx P MRPL = MPL x MR Hours of Work Chapter 14 Slide 10 Competitive Factor Markets Demand for a Factor Input When Only One Input Is Variable Choosing the profit-maximizing amount of labor If MRPL > w (the marginal cost of hiring a worker): hire the worker If MRPL < w: hire less labor If MRPL = w: profit maximizing amount of labor Chapter 14 Slide 11 Hiring by a Firm in the Labor Market (with Capital Fixed) Price of Labor In a competitive labor market, a firm faces a perfectly elastic supply of labor and can hire as many workers as it wants at w*. The profit maximizing firm will hire L* units of labor at the point where the marginal revenue product of labor is equal to the wage rate. w* SL Why not hire fewer or more workers than L*. MRPL = DL L* Chapter 14 Quantity of Labor Slide 12 Competitive Factor Markets Demand for a Factor Input When Only One Input Is Variable If the market supply of labor increased relative to demand (baby boomers or female entry), a surplus of labor would exist and the wage rate would fall. Question Chapter 14 How would this impact the quantity demanded for labor? Slide 13 A Shift in the Supply of Labor Price of Labor w1 S1 w2 S2 MRPL = DL L1 Chapter 14 L2 Quantity of Labor Slide 14 Competitive Factor Markets Comparing Input and Output Markets MRPL (MPL )(MR) and at profit maximizing number of workers MRPL w (MPL )(MR) w MR w MPL w MPL MC of production Chapter 14 Slide 15 Competitive Factor Markets Comparing Input and Output Markets Chapter 14 In both markets, input and output choices occur where MR = MC MR from the sale of the output MC from the purchase of the input Slide 16 Competitive Factor Markets Demand for a Factor Input When Several Inputs Are Variable Scenario Producing farm equipment with two variable inputs: Labor Assembly-line Chapter 14 machinery Assume the wage rate falls Slide 17 Competitive Factor Markets Demand for a Factor Input When Several Inputs Are Variable Question Chapter 14 How will the decrease in the wage rate impact the demand for labor? Slide 18 Firm’s Demand Curve for Labor (with Variable Capital) When two or more inputs are variable, a firm’s demand for one input depends on the marginal revenue product of both inputs. Wages ($ per hour) When the wage rate is $20, A represents one point on the firm’s demand for labor curve. When the wage rate falls to $15, the MRP curve shifts, generating a new point C on the firm’s demand for labor curve. Thus A and C are on the demand for labor curve, but B is not. A 20 C 15 B DL 10 MRPL1 5 0 Chapter 14 40 80 120 160 MRPL2 Hours of Work Slide 19 Competitive Factor Markets Industry Demand for Labor Assume that all firms respond to a lower wage All firms would hire more workers. Market supply would increase. The market price will fall. The quantity demanded for labor by the firm will be smaller. Chapter 14 Slide 20 The Industry Demand for Labor Firm Wage ($ per hour) Wage ($ per hour) 15 15 10 10 MRPL2 MRPL1 5 0 5 50 100 120 150 Labor (worker-hours) 0 Industry Horizontal sum if product price unchanged Industry Demand Curve L0 DL1 DL2 L1 L2 Labor (worker-hours) The Industry Demand for Labor Question Chapter 14 How would a change to a non-competitive market impact the derivation of the market demand for labor? Slide 22 The Demand for Jet Fuel Observations Jet fuel is a factor (input) cost Cost of jet fuel 1971--Jet fuel cost equaled 12.4% of total operating cost 1980--Jet fuel cost equaled 30.0% of total operating cost 1990’s--Jet fuel cost equaled 15.0% of total operating cost Chapter 14 Slide 23 The Demand for Jet Fuel Observations Airlines responded to higher prices in the 1970’s by reducing the quantity of jet fuel used Ton-miles increased by 29.6% & jet fuel consumed rose by 8.8% Chapter 14 Slide 24 The Demand for Jet Fuel Observations The demand for jet fuel impacts the airlines and refineries alike The short-run price elasticity of demand for jet-fuel is very inelastic Chapter 14 Slide 25 Short-run Price Elasticity of Demand for Jet Fuel Airline Elasticity Airline Elasticity American -.06 Delta -.15 Continental -.09 TWA -.10 Northwest -.07 United -.10 Chapter 14 Slide 26 The Demand for Jet Fuel Question Chapter 14 How would the long-run price elasticity of demand compare to the short-run? Slide 27 The Short- and Long-Run Demand for Jet Fuel Price MRPSR MRPLR Quantity of Jet Fuel Chapter 14 Slide 28 Competitive Factor Markets The Supply of Inputs to a Firm Determining how much of an input to purchase Chapter 14 Assume a perfectly competitive factor market Slide 29 A Firm’s Input Supply in a Competitive Factor Market Price ($ per yard) Price ($ per yard) Market Supply of fabric S Observations 1) The firm is a price taker at $10. 2) S = AE = ME = $10 3) ME = MRP @ 50 units Supply of Fabric Facing Firm Market Demand for fabric 10 10 ME = AE MRP D 100 Yards of Fabric (thousands) Demand for Fabric 50 Yards of Fabric (thousands) Competitive Factor Markets The Market Supply of Inputs The market supply for physical inputs is upward sloping Chapter 14 Examples: jet fuel, fabric, steel The market supply for labor may be upward sloping and backward bending Slide 31 Competitive Factor Markets The Supply of Labor The choice to supply labor is based on utility maximization Leisure competes with labor for utility Wage rate measures the price of leisure Higher wage rate causes the price of leisure to increase Chapter 14 Slide 32 Competitive Factor Markets The Supply of Labor Higher wages encourage workers to substitute work for leisure (i.e. the substitution effect) Higher wages allow the worker to purchase more goods, including leisure which reduces work hours (i.e. the income effect) Chapter 14 Slide 33 Competitive Factor Markets The Supply of Labor Chapter 14 If the income effect exceeds the substitution effect the supply curve is backward bending Slide 34 Backward-Bending Supply of Labor Wage ($ per hour) Supply of Labor Income Effect > Substitution Effect Income Effect < Substitution Effect Hours of Work per Day Chapter 14 Slide 35 Substitution and Income Effects of a Wage Increase Income ($ per 480 day) w = $20 Worker chooses point A: •16 hours leisure, 8 hour work •Income = $80 Suppose wages increase to $20 Increase wage to $20 worker chooses: 20 hour leisure, 4 hours work income = $80 P 240 w = $10 C A B Q 0 8 12 16 20 24 Substitution effect Income effect Hours of Leisure Labor Supply for One- and Two-Earner Households Female Percent of Labor Force 1950 -- 29% 1999 -- 60% Chapter 14 Slide 37 Elasticities of Labor Supply (Hours Worked) Group Head’s Hours with Respect to Head’s Wage Unmarried males (no children) Unmarried females (with children) Unmarried females (no children) One-earner family (with children) One-earner family (no children) Two-earner family (with children) Two-earner family (no children) Spouse’s Hours Head’s Hours with Respect to with Respect to Spouse’s Wage Spouse’s Wage .026 .106 .011 -.078 .007 -.002 -.086 -.004 -.107 -.028 -.059 Equilibrium in a Competitive Factor Market A competitive factor market is in equilibrium when the price of the input equates the quantity demanded to the quantity supplied. Chapter 14 Slide 39 Labor Market Equilibrium Wage Competitive Output Market Wage Monopolistic Output Market SL = AE SL = AE wC vM wM A B P * MPL DL = MRPL LC Number of Workers DL = MRPL LM Number of Workers Labor Market Equilibrium Equilibrium in a Competitive Output Market Equilibrium in a Monopolistic Output Market MR < P MRP = (MR)(MPL) DL(MRPL) = SL wC = MRPL Hire LM at wage wM MRPL = (P)(MPL) Markets are efficient vM = marginal benefit to consumers wM = marginal cost to the firm Chapter 14 Slide 41 Labor Market Equilibrium Equilibrium in a Competitive Output Market Equilibrium in a Monopolistic Output Market DL(MRPL) = SL Profits maximized wC = MRPL MRPL = (P)(MPL) Using less than the efficient level of input Markets are efficient Chapter 14 Slide 42 Equilibrium in a Competitive Factor Market Economic Rent Chapter 14 For a factor market, economic rent is the difference between the payments made to a factor of production and the minimum amount that must be spent to obtain the use of that factor. Slide 43 Economic Rent The economic rent associated with the employment of labor is the excess of wages paid above the minimum amount needed to hire workers. Wage SL = AE A Total expenditure (wage) paid is 0w* x AL* w* Economic Rent DL = MRPL B Economic rent is ABW* 0 Chapter 14 L* Number of Workers Slide 44 Economic Rent Question Chapter 14 What would be the economic rent if SL is perfectly elastic or perfectly inelastic? Slide 45 Equilibrium in a Competitive Factor Market Land: A Perfectly Inelastic Supply Chapter 14 With land inelastically supplied, its price is determined entirely by demand, at least in the short run. Slide 46 Land Rent Price ($ per acre) Supply of Land s2 s1 Economic Rent Economic Rent D2 D1 Number of Acres Chapter 14 Slide 47 Pay in the Military During the Civil War 90% of the armed forces were unskilled workers involved in ground combat. Today, only 16% are unskilled workers involved in ground combat. Chapter 14 Slide 48 Pay in the Military Shortages of skilled personnel has occurred? Why? Chapter 14 Hint: If there is a shortage, the wage must be below the…? Slide 49 The Shortage of Skilled Military Personnel Wage SL w* w0 Shortage DL = MRPL Number of Skilled Workers Chapter 14 Slide 50 Pay in the Military Military pay is based on years of service not MRP. MRP increases and the private sector pay is greater than military pay. Many leave the military. Chapter 14 Slide 51 Pay in the Military Solution Selective reenlistment bonuses Base pay on MRP Chapter 14 Slide 52 Factor Markets with Monopsony Power Assume The output market is perfectly competitive. Input market is pure monopsony. Chapter 14 Slide 53 Marginal and Average Expenditure Price (per unit of input) 20 Why is marginal expenditure greater than SL? Marginal Expenditure (ME) C 15 wc SL = Average Expenditure (AE) w* = 13 10 D = MRPL 5 0 Chapter 14 1 2 3 4 L* 5 6 Units of Input Lc Slide 54 Factor Markets with Monopsony Power Examples of Monopsony Power Government Soldiers Missiles B2 Bombers NASA Astronauts Company town Chapter 14 Slide 55 Monopsony Power in the Market for Baseball Players Baseball owners created a monopsonistic cartel Reserve clause prevented competition for players 1975--Free agency after six years 1969--Average salary was $42,000 ($200,000 in 1999 dollars) 1997--Average salary was $1,383,578 Chapter 14 Slide 56 Monopsony Power in the Market for Baseball Players Baseball owners created a monopolistic cartel 1975 salaries were 25% of team expenditures 1980 salaries were 40% of team expenditures Chapter 14 Slide 57 Teenage Labor Markets and the Minimum Wage When the minimum wage rose in New Jersey in 1992 from $4.25 to $5.05, a survey conducted found a 13% increase in employment. Chapter 14 Slide 58 Teenage Labor Markets and the Minimum Wage Explanations Reduction in fringe benefits Lower pay for more productive workers Monopsony market Chapter 14 Slide 59 Teenage Labor Markets and the Minimum Wage Findings None of the explanations are validated by the survey results Indicates of the need for further study Chapter 14 Slide 60 Factor Markets with Monopoly Power Just as buyers of inputs can have monopsony power, sellers of inputs can have monopoly power. The most important example of monopoly power in factor markets involves labor unions. Chapter 14 Slide 61 Monopoly Power of Sellers of Labor Wage per worker When a labor union is a monopolist, it chooses among points on the buyer’s demand for labor curve. The seller can maximize the number of workers hired, at L*, by agreeing that workers will work at wage w*. SL A w* DL MR L* Chapter 14 Number of Workers Slide 62 Monopoly Power of Sellers of Labor The quantity of labor L1 that maximizes the rent that employees earn is determined by the intersection of the marginal revenue and supply or labor curves; union members receive a wage rate of w1. Wage per worker Finally, if the union wishes to maximize total wages paid to workers, it should allow L2 union members to be employed at a wage rate of w2 because the marginal revenue to the union will then be zero. w1 w2 Economic Rent SL A w* DL MR L1 Chapter 14 L2 L* Number of Workers Slide 63 Factor Markets with Monopoly Power The primary determinant of controlling wage and economic rent is controlling the supply of labor Chapter 14 Slide 64 Factor Markets with Monopoly Power A Two-Sector Model of Labor Employment Chapter 14 Union monopoly power impacts the nonunionized part of the economy. Slide 65 Wage Determination in Unionized and Nonunionized Sectors SL Wage per worker When a monopolistic union raises the wage rate in the unionized sector of the economy from w* to wU, employment in that sector falls. For the total supply of labor to remain unchanged, the wage in the nonunionized sector must fall from w* to wNU.. wU w* wNU DU LU Chapter 14 DNU LMU DL Number of Workers Slide 66 Factor Markets with Monopoly Power Bilateral Monopoly Chapter 14 Market in which a monopolist sells to a monopsonist. Slide 67 Bilateral Monopoly Wage per worker ME 25 SL = AE 20 19 Wage Possibilities wC 15 DL = MRPL 10 MR 5 10 Chapter 14 20 25 40 Number of Workers Slide 68 Bilateral Monopoly Observations Hiring without union monopoly power MRP = ME at 20 workers and w = $10/hr Union’s objective Chapter 14 MR = MC at 25 workers and w = $19/hr Wage per worker ME 25 SL = (AE) 20 19 wC 15 DL = MRPL 10 MR 5 10 20 25 40 Slide 69 Number of Workers Bilateral Monopoly Who Will Win? The union will if its threat to strike is credible. The firm will if its threat to hire non-union workers is credible. If both make credible threats the wage will be at wc. Chapter 14 Slide 70 The Decline of Private Sector Unionism Observations Union membership and monopoly power has been declining. Initially, during the 1970’s, union wages relative to nonunion wages fell. Chapter 14 Slide 71 The Decline of Private Sector Unionism Observations In the 1980’s union wages stabilized relative to non-union wages. In the 1990’s membership has been falling and wage differential has remained stable. Chapter 14 Slide 72 The Decline of Private Sector Unionism Explanation The unions have been attempting to maximize the individual wage rate instead of total wages paid. The demand for unionized employees has probably become increasingly elastic as firms find it easier to substitute capital for skilled labor. Chapter 14 Slide 73 Wage Inequality--Have Computers Changed the Labor Market? 1950 - 1980 Relative wage of college graduates to highschool graduates hardly changed 1980-1995 The Chapter 14 relative wage grew rapidly Slide 74 Wage Inequality--Have Computers Changed the Labor Market? In 1984, 25.1% of all workers used computers 1993 -- 46.6% 1999 -- nearly 60% Chapter 14 Slide 75 Wage Inequality--Have Computers Changed the Labor Market? Percent change in use of computers College 1984 - 1993 -- 42 to 70% Less Chapter 14 than high school degree 5 to 10% With degrees high school degree 19 to 35% Slide 76 Wage Inequality--Have Computers Changed the Labor Market? Growth in wages -- 1983 - 1994 College graduates using computers - 11% Non-computer Chapter 14 users -- less than 4% Slide 77 Wage Inequality--Have Computers Changed the Labor Market? 1993 - 1997 High school dropouts out of school less than 10 years earned 29% less than high school graduates 1963 Chapter 14 -- The differential was only 19% Slide 78 Wage Inequality--Have Computers Changed the Labor Market? 1993 - 1997 Average weekly wage for college graduates (out of school less than 10 years) was 96% higher than high school graduates. College graduation premium has more than doubled. Chapter 14 Slide 79 Summary In a competitive input market, the demand for an input is given by the MRP, the product of the firm’s marginal revenue, and the marginal product of the input. A firm in a competitive labor market will hire workers to the point at which the marginal revenue product of labor is equal to the wage rate. Chapter 14 Slide 80 Summary The market demand for an input is the horizontal sum of the industry demands for the input. When factor markets are competitive, the buyer of an input assumes that its purchase will have no effect on the price of the input. Chapter 14 Slide 81 Summary The market supply of a factor such as labor need not be upward sloping. Economic rent is the difference between the payments to factors of production and the minimum payment that would be needed to employ those factors. Chapter 14 Slide 82 Summary When a buyer of an input has monopsony power, the marginal expenditure curve lies above the average expenditure curve. When the input seller is a monopolist such as a labor union, the seller chooses the point on the marginal revenue product curve that best suits its objective. Chapter 14 Slide 83 Summary When a monopolistic union bargains with a monopsonistic employer, the wage rate depends on the nature of the bargaining process. Chapter 14 Slide 84 End of Chapter 14 Markets for Factor Inputs