Essentials of game theory A Concise Multidisciplinary Introduction 1st Edition by Kevin Leyton Brown, Yoav Shoham ISBN 9783031015458

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ISBN 10:
ISBN 13: 9783031015458
Author: Kevin Leyton Brown, Yoav Shoham

Essentials of game theory A Concise Multidisciplinary Introduction 1st Edition Table of contents:

Part I: Introduction to Game Theory

1. What is Game Theory?

   • Definition and Scope of Game Theory
   • Basic Concepts: Players, Strategies, and Payoffs
   • The Role of Rationality in Game Theory
   • Overview of Game Theory Applications in Various Disciplines

2. Games of Complete Information

   • Normal-Form Games: Representation and Examples
   • Dominant Strategies and Nash Equilibrium
   • Iterated Elimination of Dominated Strategies
   • The Prisoner’s Dilemma and Coordination Games

Part II: Strategic Behavior and Equilibrium

3. Nash Equilibrium and Its Applications

   • Formal Definition of Nash Equilibrium
   • Existence of Nash Equilibrium
   • Pure vs. Mixed Strategies
   • Nash Equilibria in Economic, Political, and Social Contexts

4. Game Theory and Strategic Behavior

   • Strategic Moves and Commitment
   • Threats and Promises: Credibility in Games
   • Cooperation and Defection in Repeated Games
   • The Folk Theorem and Repeated Games

5. Bargaining and Cooperative Game Theory

   • Bargaining Theory: Two-Person Bargaining Games
   • The Nash Bargaining Solution
   • Cooperative Games and Coalitions
   • Shapley Value and Core of a Cooperative Game

Part III: Advanced Topics in Game Theory

6. Games of Incomplete Information

   • Definition and Examples of Incomplete Information Games
   • Bayesian Games and Bayesian Nash Equilibrium
   • Signaling and Screening in Incomplete Information
   • Applications in Auctions, Markets, and Negotiation

7. Mechanism Design and Auctions

   • Principles of Mechanism Design
   • Social Choice Functions and Efficiency
   • Auctions and Auction Design
   • Vickrey Auctions and the Winner’s Curse

8. Evolutionary Game Theory

   • The Concept of Evolutionary Stable Strategies (ESS)
   • Replicator Dynamics and Evolutionary Stability
   • Evolutionary Games in Biology and Economics
   • Applications to the Study of Cooperation in Nature

Part IV: Applications and Case Studies

9. Game Theory in Economics

   • Market Competition and Pricing Strategies
   • Monopoly and Oligopoly Games
   • Auction Theory in Economic Markets
   • Bargaining in Labor Negotiations

10. Game Theory in Political Science

• Voting Systems and Electoral Strategies
• International Relations: Conflict and Cooperation
• Public Goods and Collective Action Problems
• Game Theory and Diplomacy: Deterrence and Cooperation

11. Game Theory in Social and Behavioral Sciences

• Social Choice and Fairness in Society
• Behavioral Game Theory: Human Decision Making
• Applications in Sociology, Psychology, and Anthropology
• Altruism, Reciprocity, and the Evolution of Cooperation

Part V: Computational Methods in Game Theory

12. Computational Approaches to Game Theory

• Solving Games: Algorithms and Computational Complexity
• Computational Game Theory and its Applications
• Mechanism Design and Computational Aspects
• Auctions and Multi-Agent Systems

13. Algorithmic Game Theory

• Algorithms for Finding Nash Equilibria
• Complexity of Solving Games
• Online Algorithms and Competitive Analysis
• Applications in Computer Science and Network Design

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