midterm 2 review. midterm 2 (l9-l16) applications of buying and selling 1.labor supply...

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Midterm 2 Review

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Page 1: Midterm 2 Review. Midterm 2 (L9-L16)  Applications of buying and selling 1.Labor Supply 2.Intertemporal Choice 3.Uncertainty  Markets and Exchange 1.Pareto

Midterm 2

Review

Page 2: Midterm 2 Review. Midterm 2 (L9-L16)  Applications of buying and selling 1.Labor Supply 2.Intertemporal Choice 3.Uncertainty  Markets and Exchange 1.Pareto

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

Page 3: Midterm 2 Review. Midterm 2 (L9-L16)  Applications of buying and selling 1.Labor Supply 2.Intertemporal Choice 3.Uncertainty  Markets and Exchange 1.Pareto

Applications

1

Page 4: Midterm 2 Review. Midterm 2 (L9-L16)  Applications of buying and selling 1.Labor Supply 2.Intertemporal Choice 3.Uncertainty  Markets and Exchange 1.Pareto

UncertaintyTwo states, probabilities Bundle = lotteryBernouli and Von Neumann-Morgenstern U.

Examples:

yyu ln)(

)( yu

Page 5: Midterm 2 Review. Midterm 2 (L9-L16)  Applications of buying and selling 1.Labor Supply 2.Intertemporal Choice 3.Uncertainty  Markets and Exchange 1.Pareto

Risk AversionExpected value of lottery:

Examples

Risk aversion

better than

Utility and risk aversion

)4,0(E

))(),(( CECE

Page 6: Midterm 2 Review. Midterm 2 (L9-L16)  Applications of buying and selling 1.Labor Supply 2.Intertemporal Choice 3.Uncertainty  Markets and Exchange 1.Pareto

Utility and Risk Aversion

421

)4,0(C2

121

y

)( yu

yyu )(

Page 7: Midterm 2 Review. Midterm 2 (L9-L16)  Applications of buying and selling 1.Labor Supply 2.Intertemporal Choice 3.Uncertainty  Markets and Exchange 1.Pareto

Utility and Risk Aversion

421

)4,0(C

y

)( yu

yyu )(

Page 8: Midterm 2 Review. Midterm 2 (L9-L16)  Applications of buying and selling 1.Labor Supply 2.Intertemporal Choice 3.Uncertainty  Markets and Exchange 1.Pareto

Possibility of Flood Insurance contract

Budget set

Uncertainty: Insurance

1

%5 0, x

Page 9: Midterm 2 Review. Midterm 2 (L9-L16)  Applications of buying and selling 1.Labor Supply 2.Intertemporal Choice 3.Uncertainty  Markets and Exchange 1.Pareto

Choice:

Uncertainty: Insurance

1

%5 0, xyyu ln)(

Page 10: Midterm 2 Review. Midterm 2 (L9-L16)  Applications of buying and selling 1.Labor Supply 2.Intertemporal Choice 3.Uncertainty  Markets and Exchange 1.Pareto

Fair insurance

Not fair insurance

(Not) Fair Insurance Premium

1

Page 11: Midterm 2 Review. Midterm 2 (L9-L16)  Applications of buying and selling 1.Labor Supply 2.Intertemporal Choice 3.Uncertainty  Markets and Exchange 1.Pareto

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

Page 12: Midterm 2 Review. Midterm 2 (L9-L16)  Applications of buying and selling 1.Labor Supply 2.Intertemporal Choice 3.Uncertainty  Markets and Exchange 1.Pareto

Edgeworth Box (and Efficiency)(1 0 , 0 ), (0 ,1 0 )A B 2121 lnln),( xxxxu

Page 13: Midterm 2 Review. Midterm 2 (L9-L16)  Applications of buying and selling 1.Labor Supply 2.Intertemporal Choice 3.Uncertainty  Markets and Exchange 1.Pareto

Competitive Equilibrium (Definition)(1 0 , 0 ), (0 ,1 0 )A B 2121 lnln),( xxxxu

Page 14: Midterm 2 Review. Midterm 2 (L9-L16)  Applications of buying and selling 1.Labor Supply 2.Intertemporal Choice 3.Uncertainty  Markets and Exchange 1.Pareto

Competitive Equilibrium(1 0 , 0 ), (0 ,1 0 )A B 2121 lnln),( xxxxu

Page 15: Midterm 2 Review. Midterm 2 (L9-L16)  Applications of buying and selling 1.Labor Supply 2.Intertemporal Choice 3.Uncertainty  Markets and Exchange 1.Pareto

Competitive Equilibrium (Geometry)(1 0 , 0 ), (0 ,1 0 )A B 2121 lnln),( xxxxu

Page 16: Midterm 2 Review. Midterm 2 (L9-L16)  Applications of buying and selling 1.Labor Supply 2.Intertemporal Choice 3.Uncertainty  Markets and Exchange 1.Pareto

Competitive E and Pareto Efficiency(1 0 , 0 ), (0 ,1 0 )A B 2121 lnln),( xxxxu