Contents

1 Decision Theory

2 Preferences, Risk, and Stochastic Dominance

3 Strategic Form Games

4 Nash Equilibrium—Existence and Refinements

5 Mechanism Design

6 Implementation: Complete and Incomplete Information

7 Auctions I: Independent Values

8 Auctions II: Dependent Values

9 Extensive Form Games

10 Equilibrium in Extensive Form Games

11 Repeated Games

12 Information

13 The Principal–Agent Problem

14 Signaling

15 Screening

16 Common Knowledge

17 Bargaining

18 Cooperative Outcomes

19 Anonymous Games

20 Evolution and Learning

 Contents

1. Introduction.

2. Matrices and Systems of Equations

3. Linear Algebra: Applications

4. Linear Programming

5. Functions of One Variable

6. Functions of One Variable: Applications

7. Systems of Equations, Differentials and Derivatives

8. Taylor Series

9. Vectors

10. Quadratic Forms

11. Multivariate Optimization

12. Equality Constrained Optimization

13. Inequality Constrained Optimization

14. Integration

15. Eigenvalues and Eigenvectors

16. Differential Equations

17. Linear Difference Equations

18. Probability and Distributions

19. Estimation and Hypothesis Testing