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Lecture 11. Income Distribution Theory

Recommended reading : 【Macroeconomics】 Microeconomics Table of Contents

1. Factor markets (general)

2. Labor market

3. Capital market


1. Factor markets (general)

⑴ Background

① Goods market : households are the demand side; firms are the supply side
② Factor market : firms are the demand side; households are the supply side
③ Directly connected to the neoclassical theory of income distribution

⑵ Demand for factors of production

Interpretation 1. It has the character of derived demand

○ Meaning : demand for factors is derived from demand for goods (MC)
○ Dividing a factor’s price by its marginal product has the meaning of marginal cost (MC)

Interpretation 2. In a neoclassical perfectly competitive market, price represents marginal product : because marginal revenue product is 0

○ A perfectly competitive firm’s labor demand is determined where the nominal wage equals the value of the marginal product of labor
○ Marginal revenue product (marginal revenue product; MRP) : the additional revenue generated by hiring one more worker
○ Value of marginal product (value of marginal product; VMP) : the factor’s marginal product multiplied by the output’s market price
○ (Note) You can understand VMP as MRP under perfect competition
○ Price of labor = value of the marginal product of labor (where w denotes the nominal wage)
○ Price of capital = value of the marginal product of capital (where v denotes nominal rent)

③ Labor demand curve

○ Assumption : labor is the only variable input
○ Downward-sloping : because the law of diminishing marginal product is assumed
○ Factors that increase labor demand

○ Increase in demand for the product
○ Increase in the productivity of a factor of production
○ Increase in the price of an input that is a substitute
○ Decrease in the price of an input that is a complement
○ Increase in the number of producers
○ (Note) Capital input can either increase or decrease labor demand

○ Price elasticity of labor demand : also known as the Hicks–Marshall laws of derived demand

○ Faster diminishing marginal product ↑ → labor demand curve becomes steeper → elasticity ↓
○ Greater substitutability with other inputs ↑ → employment changes more → elasticity ↑
○ Labor’s share in total cost ↑ → employment changes more easily and by a larger amount → elasticity ↑
○ Price elasticity of demand for the product ↑ → since labor demand is derived demand, elasticity ↑
○ Elasticity of capital supply ↑ → elasticity ↑

⑶ Supply of factors of production

① Supply of labor : the neoclassical interpretation from consumer theory (choice between labor and leisure) in the Consumer Theory section

○ Assumption : workers can freely choose their working hours
○ Objective function : for utility function u, leisure L, and income/budget M
○ Constraint : for labor H, leisure L, and income/budget M
Substitution effect : wage rate ↑ → opportunity cost of leisure ↑ → leisure consumption ↓ → labor supply ↑
Income effect : wage rate ↑ → leisure consumption ↑ (leisure is a normal good) → labor supply ↓
○ Early on, the substitution effect dominates; later, the income effect dominates, producing a backward-bending (backward-bending) shape
○ In the backward-bending segment, the wage elasticity of labor supply is negative
○ (Note) If leisure is an inferior good, the backward-bending pattern does not appear
○ (Note) Non-labor income generates only the income effect → labor supply decreases

Figure. 1. Labor supply curve

② Supply of capital

③ Supply of land

○ The supply of land is perceived as almost fixed
○ The supply of land for a specific use can be elastic (e.g., land for housing)

⑷ Equilibrium in the factor market

Figure. 2. Equilibrium in the factor market

① Determination of employment and wages

○ Employment and wages are determined by equilibrium between the product market (demand side) and the factor market (supply side)
○ (Note) As in the figure above, the backward-bending portion is sometimes omitted
○ Because the equilibrium price is directly linked to consumers’ income, this is also called income distribution theory
○ Reasons why the price of the same factor differs across markets

② When an imperfectly competitive market becomes a perfectly competitive market

○ Equilibrium employment and the equilibrium wage increase

③ Economic rent and transfer earnings

Figure. 3. The concept of transfer earnings and rent

○ Transfer earning : the opportunity cost of the factor supplier

○ The area below the supply curve
○ (Comment) Similar to “cost”

Economic rent : the extra payment made because a factor’s supply is inelastic

○ Also called unearned income : corresponds to producer surplus in the goods market
○ In other words, the portion of a payment that exceeds transfer earnings is called economic rent
○ The more inelastic labor supply is, the larger the share of economic rent in total compensation
Example 1. Famous entertainers, athletes
Example 2. Activities where medical or bar associations restrict the number of new license holders
Example 3. Lobbying to obtain government permits/authorizations
○ (Comment) Similar to producer surplus

○ Quasi-rent

○ Compensation for factors whose supply is fixed in the short run, such as capital equipment
○ That is, it has the nature of rent in the short run but the nature of transfer earnings in the long run

⑸ Monopsony and bilateral monopoly

① Monopsony

○ Definition : a market with many suppliers but only one buyer

○ Hard to find in goods markets; mainly observed in factor markets
○ Causes : extremely specialized factors, local/regional characteristics
○ Marginal factor cost curve (marginal factor cost curve) : the additional expenditure when purchasing the last unit of a factor
○ Condition : marginal factor cost = value of marginal product

Figure. 4. Monopsony vs. perfect competition

Lc : employment under perfect competition
wc : factor price (wage) under perfect competition
Lm : employment under monopsony
wm : factor price (wage) under monopsony
○ Compared with perfect competition, monopsony yields a lower factor price and a smaller employment level
○ The difference between wc and wm is called monopsonistic exploitation

② Bilateral monopoly (bilateral monopoly; BM)

Figure. 5. Bilateral monopoly market

Lc : employment under perfect competition
wc : factor price (wage) under perfect competition
LM : employment under supply monopoly
wM : factor price (wage) under supply monopoly
Lm : employment under monopsony
wm : factor price (wage) under monopsony
○ In a bilateral monopoly, each side has monopoly power and their preferred outcomes conflict
○ Ultimately, the outcome depends on which side has greater bargaining power


2. Labor market: focusing on why wage differentials arise

⑴ When the labor market is perfectly competitive

① Productivity differences among workers
② Differences in job amenities or risk : wage differentials here are called compensating wage differentials

⑵ When the labor market is imperfectly competitive

① Temporary disequilibrium in the market
② Seniority-based pay
③ Imperfect information
④ Social discrimination

⑶ Skilled labor vs. unskilled labor

① The demand curve for skilled labor lies above that for unskilled labor ( higher marginal productivity)
② The supply curve for skilled labor lies above that for unskilled labor ( higher cost of skill acquisition)
③ Dual labor market theory

○ Primary labor market : managerial jobs, professional jobs, skilled craft jobs, etc.
○ Secondary labor market : simple laborers, domestic helpers, etc.
○ (Comment) Think of the primary market as the “first string” / better-positioned workers

⑷ Human capital theory : those who receive education have higher productivity than those who do not, so they will earn higher wages

⑸ Signaling theory : education is merely a device to distinguish capable from less capable people; raising education levels is unrelated to wage increases

⑹ Efficiency wage theory : a strategy of paying higher-than-industry wages so that workers exert maximum productivity

⑺ Labor unions

① Objectives of labor unions : increase wage income, improve working conditions, stabilize employment
② Outcomes

○ It is difficult to achieve wage increases without sacrificing employment
○ Wages may fall in sectors where unions are not formed
③ Factors that limit union power
○ Supply-side factors : for low-wage labor where non-union workers can easily supply labor, the relevant union’s power weakens
○ Demand-side factors : substituting labor with machines, reducing output to cut staff, weak product demand

⑻ Discrimination in the labor market : racial discrimination, gender discrimination, etc.

① 1st. Discrimination restricts women’s employment in the high-skill labor market
② 2nd. With reduced supply in the high-skill market, women’s wages rise
③ 3rd. With increased supply in the ordinary-skill market, women’s wages fall
④ 4th. If this discrimination persists, it is used as “evidence” to justify discrimination and thereby intensifies it
Policy 1. Principle of equal pay
Policy 2. Principle of comparable worth
Policy 3. Natural selection : discriminatory firms exclude highly productive people and are therefore selected out over time
⑧ Why discrimination persists

○ Discriminated workers actually have lower productivity
○ Deep-rooted prejudice makes fair employment policies difficult to implement


3. Capital market

⑴ Concept of capital

① Primary factors of production : labor and land can be used immediately without an additional production process
② Produced factors of production : capital must be produced through a production process
③ Capital goods : machines or equipment used in production

○ Depreciation : as capital goods are used, their value declines
④ Capital services : services obtained by using capital goods for a period of time
○ The supply curve of capital services is upward sloping

⑵ The investment decision process

① Present value : the value of future revenues or costs evaluated in today’s terms
② Discount rate : the rate used to discount future amounts into present value
③ If present value > investment cost : invest
④ If present value < investment cost : do not invest

⑶ Determination of the interest rate

① Why there are multiple interest rates in reality

○ Risk
○ Lending period
○ Administrative costs
○ Tax treatment

Input: 2020.11.10 23:15

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