This volume studies strategic interaction, economic systems, and quantitative models of behavior.
This volume studies strategic interaction, economic systems, and quantitative models of behavior. It connects optimization, probability, and equilibrium theory.
Part I. Foundations of Game Theory
Chapter 1. Strategic Games
1.1 Players and strategies 1.2 Payoff functions 1.3 Normal form games 1.4 Examples 1.5 Applications
Chapter 2. Nash Equilibrium
2.1 Definition 2.2 Existence results 2.3 Mixed strategies 2.4 Computation 2.5 Examples
Chapter 3. Extensive Form Games
3.1 Game trees 3.2 Perfect information 3.3 Subgame perfect equilibrium 3.4 Backward induction 3.5 Examples
Part II. Advanced Game Theory
Chapter 4. Repeated Games
4.1 Infinite horizon games 4.2 Folk theorems 4.3 Cooperation and punishment 4.4 Applications 4.5 Examples
Chapter 5. Bayesian Games
5.1 Incomplete information 5.2 Types and beliefs 5.3 Bayesian equilibrium 5.4 Applications 5.5 Examples
Chapter 6. Evolutionary Game Theory
6.1 Population models 6.2 Evolutionarily stable strategies 6.3 Replicator dynamics 6.4 Applications 6.5 Examples
Part III. Mechanism Design
Chapter 7. Incentives and Mechanisms
7.1 Social choice 7.2 Incentive compatibility 7.3 Revelation principle 7.4 Applications 7.5 Examples
Chapter 8. Auctions
8.1 Auction formats 8.2 Bidding strategies 8.3 Revenue equivalence 8.4 Applications 8.5 Examples
Chapter 9. Matching Markets
9.1 Stable matching 9.2 Deferred acceptance 9.3 Applications 9.4 Examples 9.5 Connections
Part IV. Microeconomic Theory
Chapter 10. Consumer Theory
10.1 Preferences 10.2 Utility functions 10.3 Budget constraints 10.4 Demand 10.5 Examples
Chapter 11. Producer Theory
11.1 Production functions 11.2 Cost functions 11.3 Profit maximization 11.4 Supply 11.5 Examples
Chapter 12. General Equilibrium
12.1 Market equilibrium 12.2 Welfare theorems 12.3 Pareto efficiency 12.4 Applications 12.5 Examples
Part V. Macroeconomics and Dynamics
Chapter 13. Growth Models
13.1 Solow model 13.2 Endogenous growth 13.3 Applications 13.4 Examples 13.5 Connections
Chapter 14. Dynamic Optimization
14.1 Intertemporal choice 14.2 Optimal control methods 14.3 Applications 14.4 Examples 14.5 Connections
Chapter 15. Monetary and Fiscal Models
15.1 Money and inflation 15.2 Policy tools 15.3 Applications 15.4 Examples 15.5 Connections
Part VI. Behavioral and Social Models
Chapter 16. Behavioral Economics
16.1 Bounded rationality 16.2 Prospect theory 16.3 Biases and heuristics 16.4 Applications 16.5 Examples
Chapter 17. Social Networks
17.1 Network structures 17.2 Diffusion processes 17.3 Influence and contagion 17.4 Applications 17.5 Examples
Chapter 18. Collective Decision-Making
18.1 Voting systems 18.2 Aggregation methods 18.3 Fairness and paradoxes 18.4 Applications 18.5 Examples
Part VII. Applications
Chapter 19. Markets and Industry
19.1 Competition models 19.2 Oligopoly 19.3 Pricing strategies 19.4 Applications 19.5 Examples
Chapter 20. Finance
20.1 Market models 20.2 Risk and return 20.3 Game-theoretic finance 20.4 Applications 20.5 Examples
Chapter 21. Policy and Strategy
21.1 Public policy design 21.2 Strategic planning 21.3 Conflict resolution 21.4 Applications 21.5 Examples
Part VIII. Research Directions
Chapter 22. Advanced Topics
22.1 Algorithmic game theory 22.2 Mechanism design with computation 22.3 Experimental economics 22.4 Modern developments 22.5 Emerging areas
Chapter 23. Open Problems
23.1 Equilibrium computation 23.2 Strategic complexity 23.3 Behavioral modeling 23.4 Data-driven economics 23.5 Future directions
Chapter 24. Historical and Conceptual Notes
24.1 Development of game theory 24.2 Key contributors 24.3 Evolution of economic modeling 24.4 Cross-disciplinary impact 24.5 Summary
Appendix
A. Equilibrium concepts summary B. Utility and payoff reference C. Proof techniques checklist D. Model templates E. Cross-reference to other MSC branches