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Applications of Consumer Theory. Derivation of Demand; Income and Substitution Effects; In Kind vs Cash Transfers; Labor/leisure Tradeoff; CPI. Indifference Curves Describe Tastes of Individual Consumer. Derivation of demand. Individual Demand. P Q 2.5 40 5 20 10 10 .
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Applications of Consumer Theory Derivation of Demand; Income and Substitution Effects; In Kind vs Cash Transfers; Labor/leisure Tradeoff; CPI
Individual Demand PQ 2.5 40 5 20 10 10
Income and Substitution Effects XN X0 Xs
In-Kind vs Cash Transfers • Examples of In-Kind Transfers • Medicaid and Medicare • Distribution of Free Food • Housing Subsidies/vouchers • Is a Gift of 10 units of Good X (purchased at $5 per unit) equivalent to $50 in cash?
Summary • Cash transfers are more efficient than in-kind transfers (in this model) • Why are in-kind transfers popular? • Interdependent utility • Interest groups -- ex., agricultural lobby and food stamps
The Labor Supply Decision • Two goods -- leisure and food (Y) • Wage rate fixed -- w • No non - labor income • Price of good Y=1 (Y is numeraire.)
Example: Substitution Effect is Offset by Income Effect, Hours Worked Stay Same Intercept is w0T X0-Xs is substitution effect Xs to X1 is income effect New intercept is w1T Wage rate decreases Xs X0=X1
Applications • What happens if there is non - labor income? • Budget line will have a vertical segment. Consumer can spend 16 hours at leisure and still consume NL of good Y. • Additional income will lead consumer to consume more of all normal goods -- including leisure. • Hours worked will decrease. • What is the effect of income tax on hours worked? • Slope of budget line will change to -w(1-t). • Substitution effect leads consumer to spend more time at leisure because it has become relatively cheaper. • Income effect leads consumer to buy less of normal goods -- including leisure.
Problems with the CPI Does the CPI overstate Inflation?
Problems with the CPI Income needed to be as happy as before. Income needed to buy old bundle