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Midterm 2
Review
Midterm 2 (L9-L16) Applications of buying and selling
1. Labor Supply2. Intertemporal Choice3. Uncertainty
Markets and Exchange1. Pareto (In) efficiency2. Competitive equilibrium
Producers1. Production function2. Profit Maximization 3. Labor markets
Applications
1
UncertaintyTwo states, probabilities Bundle = lotteryBernouli and Von Neumann-Morgenstern U.
Examples:
yyu ln)(
)( yu
Risk AversionExpected value of lottery:
Examples
Risk aversion
better than
Utility and risk aversion
)4,0(E
))(),(( CECE
Utility and Risk Aversion
421
)4,0(C2
121
y
)( yu
yyu )(
Utility and Risk Aversion
421
)4,0(C
y
)( yu
yyu )(
Possibility of Flood Insurance contract
Budget set
Uncertainty: Insurance
1
%5 0, x
Choice:
Uncertainty: Insurance
1
%5 0, xyyu ln)(
Fair insurance
Not fair insurance
(Not) Fair Insurance Premium
1
Edgeworth Box (apple-orange, IC, U)Pareto EfficiencyCompetitive Equilibrium Competitive Equilibrium Pareto efficient?
Application: apple-orange, IC, U
Markets and Exchange (key ideas)
(1 0 , 0 ), (0 ,1 0 )A B 2121 lnln),( xxxxu
Edgeworth Box (and Efficiency)(1 0 , 0 ), (0 ,1 0 )A B 2121 lnln),( xxxxu
Competitive Equilibrium (Definition)(1 0 , 0 ), (0 ,1 0 )A B 2121 lnln),( xxxxu
Competitive Equilibrium(1 0 , 0 ), (0 ,1 0 )A B 2121 lnln),( xxxxu
Competitive Equilibrium (Geometry)(1 0 , 0 ), (0 ,1 0 )A B 2121 lnln),( xxxxu
Competitive E and Pareto Efficiency(1 0 , 0 ), (0 ,1 0 )A B 2121 lnln),( xxxxu