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Chapter 2 Applies theory of consumer demand to individual’s decision to supply labor. Descriptive evidence concerning hours worked. Develop: Neoclassical labor- leisure model. Then explain using model; various extensions to introduce more real-world factors into original model.
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To Note in Figure 2.1 Graph (a): shows distribution of workers by weekly hours worked; shows 1 point in time. See two peaks: Fact: % parttime has over time. Graph (b): shows time trend in weekly hours. 1900: 1998:
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Neoclassical Labor/Leisure Model Assumptions: individuals choose paid work hours based on individual preferences, income, and wages. Assume: –100 discretionary hours per week; –only 2 uses for time: work and leisure, so that 100 hours = work hours + leisure hours. Define: –Supply work hours = 100 – demand for leisure hours. –Demand leisure hours = 100 – supply work hours.
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Preferences Define: how much I like or dislike different goods; includes how I might be willing to trade off one good for another. Simplify: only two goods to choose from: Leisure (or L) and a single composite good (that includes all goods that can be purchased); represent composite good as income, or Y. Preferences: goods give me utility Indifference curve: shows different combinations of income and leisure, all of which yield same utility.
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Properties of Indifference Curves 1: Negative slope: shows tradeoffs: to keep utility constant, if increase income, must decrease leisure. Slope shows MRS: marginal rate of substitution = Y/ L. 2. Convex to origin: as move up to left, must get more and more income to give up continually same amount of leisure; As give up more and more leisure, it becomes more valuable. Curve gets flatter as move down to right; so slope or MRS getting smaller; called diminishing MRS.
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More Properties of I.C. 3- For an individual: whole set of indifference curves, each corresponding to specific utility level; called indifference map. 4- Indifference curves for individual never intersect. 5- Each individual has own indifference curves (because has own MRS).
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More about MRS MRS: measures rate at which a person is willing to trade income for leisure. As move up to left on indifference curve: This means:
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Budget Constraint When making labor supply decisions, individual cares about preferences, income and wages. Budget constraint: shows relationship between wage, hours worked, and income:
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Further Detail on Budget Constraint Price of leisure: measured in terms of opportunity cost of leisure; So price of leisure is the wage. Budget constraint: –Wage * hours = earned income. Market wage: Individual treats wage as given.
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Properties of Budget Constraint 1. Negative slope (as leisure, work hours, so Y ) 2. Slope = -wage (tells rate at which able to give up leisure) 3. Change wage shown as change in slope of budget constraint (pivot around pt. A) 4. If add in nonlabor Y: parallel shift upward of b.c.
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Utility-Maximizing Point Individual’s goal: Max point: Max point: MRS = w. Decision rule: keep work hours as long as the extra income you get for each extra hour worked (wage) your own valuation of that extra hour of foregone leisure. When market values the extra hour just as you do: at utility max level.
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Effect of a Nonlabor Income on Hours Worked Remember: Y parallel shift in budget constraint. Demand theory: For any normal good: Y causes demand: So Y demand for leisure hours worked. Income Effect: ( Hrs/ Y) W fixed 0 Or: An in nonlabor income, holding wage fixed, will cause hours worked to go down.
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Effect of Wage on Hours Worked First, remember: wage will slope of budget constraint: w will pivot b.c. up to right. Pure substitution effect: Comes from demand theory: W causes demand for leisure, so work hours. ( Hrs/ W) Y fixed 0. But this is holding Y fixed. With wage, income also es.
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Full Effect of Wage on Hours Worked Wage is more complicated: Wage has two components: Substitution effect causes substituting away from leisure, which is now more costly. Subst. Effect: hours worked. Income effect comes from fact that wage causes earned Y: Y causes demand for leisure which is same as hrs worked. Income effect: hours worked. Net Effect is Uncertain.
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Showing Y and Subst. Effects Graphically Steps: 1. Show initial situation. 2. Show final effect of wage. 3. Back to starting point: show Y effect first: shift old b.c. out parallel shift till tangent to new indiff. curve. This is pure Y effect since no slope of b.c. This must show hrs worked. 4. From (3) above: show subst. effect: pivot this “temporary” b.c. till reach final point in (2) above: this portion is subst. effect. This must show hours worked.
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Further Details on Y and Substitution Effects Y effect: isolates pure income effect without any change in relative prices, so no substituting between goods. Y effect answers question: With W, what is effect on hrs worked if hold wage fixed but allow Y to enough to lift the individual to the higher utility level? Substitution effect: here there is a change in relative prices, reflected in change in slope of b.c.: yes there is substituting between goods; holding effect of Y fixed.
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Key Points for Effect of Wage on Hours Worked Income effect: always increases demand for leisure (because Y always demand for all normal goods); so reduces hours worked. Substitution effect: always reduces demand for leisure (because now leisure relatively more expensive); so increases hours worked. Net effect is uncertain: depends on shape of indifference curves.
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Deriving Supply of Labor Curve Using b.c./indifference curve model: see effect of W on hours worked. S L curve plots relationship between wage and willingness to supply labor. S L curve can be upward or downward sloping; or both (backward bending). Backward bending: at low wages, subst. effect dominates; at high wages, income effect dominates. For class: assume S L slopes upward unless told otherwise.
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Policy Application: Welfare TANF: Temporary Assistance for Needy Families (1996) Details of TANF: Funded by federal $$ but block- granted to states so largely state-designed.
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Details of TANF G: Income guarantee: D: level of disregard: T: implicit tax rate on earnings: BE: break-even point: So: BE = D + G/T
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Welfare Policy Issues Three goals of welfare policy: – improve living standards (high $G); –encourage self-sufficiency (low T); – minimize costs of program. Dilemma: the three goals are incompatible: (1) and (2) push up costs. 1996 federal welfare reform tried to address this dilemma--gives power to states. –Some states very strict. –Many ongoing studies.
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Welfare-to-Work Barriers * not enough jobs, particularly in local, low Y areas. * low wages for entry level jobs (and have in real value) * lack of job readiness (poor skills; literacy; work habits) * disability * child care (costly; low quality; unavailable for shiftwork) * transportation problems
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Extensions to Simple Labor/Leisure Model Employer-mandated work schedules: if mandated hours desired hours; individual ends up on lower indifference curve. Costs of working: affects budget constraint (fixed money cost; time cost; variable money cost)
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Policy Response Recall in Figure 2.1: with time- series data, showed in average hours worked per week from 53 in 1900 to 40 in 1998. One cause was an institutional response: a policy change. Fair Labor Standards Act (FLSA) of 1938: Imposed a national overtime standard:
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Another Cause for Hours is Wage. Note: real wages have increased over time. If increase in real wages leads to a decrease in hours worked per week, then the income effect dominates the substitution effect. See Figure 2.13.
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Effect of an Income Tax Start: assume nonlabor Y = 0; wage = W 1 ; t = 0. Show utility-max choice of hours worked. Then impose an income tax = t; where t = a percentage of income that increases as income increases. Called a progressive tax. See Figure 2.15.
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Empirical Estimates of Labor Supply Response to Income Taxes Based on estimates of labor supply elasticities. Male elasticity = -0.1, So a 10 % in net wage (from a marginal tax rate) causes male labor supply to fall by 1%. Female labor supply elasticity is positive, so increase in tax has opposite effect. Reaganomics: assumed taxes caused work effort so that total tax revenues would increase so tax cut pays for itself. Read conflicting evidence in book.
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