ゲーム理論入門<br>An Introduction to Game Theory

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ゲーム理論入門
An Introduction to Game Theory

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  • 製本 Hardcover:ハードカバー版／ページ数 552 p.
  • 言語 ENG
  • 商品コード 9780195128956
  • DDC分類 519.3

基本説明

Emphasizes the ideas behind the theory rather than their mathematical expression.

Full Description

An exposition of modern game theory suitable for advanced undergraduates. The book emphasizes the ideas behind the theory rather than their mathematical expression, but defines all concepts precisely. It covers strategic, extensive and coalitional games and includes the topics of repeated games, bargaining theory and evolutionary equilibrium.

Contents

Preface
Each chapter ends with notes.
1. Introduction
1.1. What is Game Theory?
1.1.1. An Outline of the History of Game Theory
1.1.2. John von Neumann
1.2. The Theory of Rational Choice
1.3. Coming Attractions: Interacting Decision-Makers
I. GAMES WITH PERFECT INFORMATION
2. Nash Equilibrium: Theory
2.1. Strategic Games
2.2. Example: The Prisoner's Dilemma
2.3. Example: Bach or Stravinsky?
2.4. Example: Matching Pennies
2.5. Example: The Stag Hunt
2.6. Nash Equilibrium
2.6.1. John F. Nash, Jr.
2.6.2. Studying Nash Equilibrium Experimentally
2.7. Examples of Nash Equilibrium
2.7.1. Experimental Evidence on the Prisoner's Dilemma
2.7.2. Focal Points
2.8. Best Response Functions
2.9. Dominated Actions
2.10. Equilibrium in a Single Population: Symmetric Games and Symmetric Equilibria
3. Nash Equilibrium: Illustrations
3.1. Cournot's Model of Oligopoly
3.2. Bertrand's Model of Oligopoly
3.2.1. Cournot, Bertrand, and Nash: Some Historical Notes
3.3. Electoral Competition
3.4. The War of Attrition
3.5. Auctions
3.5.1. Auctions from Babylonia to eBay
3.6. Accident Law
4. Mixed Strategy Equilibrium
4.1. Introduction
4.1.1. Some Evidence on Expected Payoff Functions
4.2. Strategic Games in Which Players May Randomize
4.3. Mixed Strategy Nash Equilibrium
4.4. Dominated Actions
4.5. Pure Equilibria When Randomization is Allowed
4.6. Illustration: Expert Diagnosis
4.7. Equilibrium in a Single Population
4.8. Illustration: Reporting a Crime
4.8.1. Reporting a Crime: Social Psychology and Game Theory
4.9. The Formation of Players' Beliefs
4.10. Extension: Finding All Mixed Strategy Nash Equilibria
4.11. Extension: Games in Which Each Player Has a Continuum of Actions
4.12. Appendix: Representing Preferences by Expected Payoffs
5. Extensive Games with Perfect Information: Theory
5.1. Extensive Games with Perfect Information
5.2. Strategies and Outcomes
5.3. Nash Equilibrium
5.4. Subgame Perfect Equilibrium
5.5. Finding Subgame Perfect Equilibria of Finite Horizon Games: Backward Induction
5.5.1. Ticktacktoe, Chess, and Related Games
6. Extensive Games With Perfect Information: Illustrations
6.1. The Ultimatum Game, the Holdup Game, and Agenda Control
6.1.1. Experiments on the Ultimatum Game
6.2. Stackelberg's Model of Duopoly
6.3. Buying Votes
6.4. A Race
7. Extensive Games With Perfect Information: Extensions and Discussion
7.1. Allowing for Simultaneous Moves
7.1.1. More Experimental Evidence on Subgame Perfect Equilibrium
7.2. Illustration: Entry into a Monopolized Industry
7.3. Illustration: Electoral Competition with Strategic Voters
7.4. Illustration: Committee Decision-Making
7.5. Illustration: Exit from a Declining Industry
7.6. Allowing for Exogenous Uncertainty
7.7. Discussion: Subgame Perfect Equilibrium and Backward Induction
7.7.1. Experimental Evidence on the Centipede Game
8. Coalitional Games and the Core
8.1. Coalitional Games
8.2. The Core
8.3. Illustration: Ownership and the Distribution of Wealth
8.4. Illustration: Exchanging Homogeneous Horses
8.5. Illustration: Exchanging Heterogeneous Houses
8.6. Illustration: Voting
8.7. Illustration: Matching
8.7.1. Matching Doctors with Hospitals
8.8. Discussion: Other Solution Concepts
II. GAMES WITH IMPERFECT INFORMATION
9.1. Motivational Examples
9.2. General Definitions
9.3. Two Examples Concerning Information
9.4. Illustration: Cournot's Duopoly Game with Imperfect Information
9.5. Illustration: Providing a Public Good
9.6. Illustration: Auctions
9.6.1. Auctions of the Radio Spectrum
9.7. Illustration: Juries
9.8. Appendix: Auctions with an Arbitrary Distribution of Valuations
10. Extensive Games with Imperfect Information
10.1. Extensive Games with Imperfect Information
10.2. Strategies
10.3. Nash Equilibrium
10.4. Beliefs and Sequential Equilibrium
10.5. Signaling Games.
10.6. Illustration: Conspicuous Expenditure as a Signal of Quality
10.7. Illustration: Education as a Signal Of Ability
10.8. Illustration: Strategic Information Transmission
10.9. Illustration: Agenda Control with Imperfect Information
III. VARIANTS AND EXTENSIONS
11. Strictly Competitive Games and Maxminimization
11.1. Maxminimization
11.2. Maxminimization and Nash Equilibrium
11.3. Strictly Competitive Games
11.4. Maxminimization and Nash Equilibrium in Strictly Competitive Games
11.4.1. Maxminimization: Some History
11.4.2. Empirical Tests: Experiments, Tennis, and Soccer
12. Rationalizability
12.1. Rationalizability
12.2. Iterated Elimination of Strictly Dominated Actions
12.3. Iterated Elimination of Weakly Dominated Actions
12.4. Dominance Solvability
13. Evolutionary Equilibrium
13.1. Monomorphic Pure Strategy Equilibrium
13.1.1. Evolutionary Game Theory: Some History
13.2. Mixed Strategies and Polymorphic Equilibrium
13.3. Asymmetric Contests
13.3.1. Side-blotched lizards
13.3.2. Explaining the Outcomes of Contests in Nature
13.4. Variation on a Theme: Sibling Behavior
13.5. Variation on a Theme: The Nesting Behavior of Wasps
13.6. Variation on a Theme: The Evolution of the Sex Ratio
14. Repeated Games: The Prisoner's Dilemma
14.1. The Main Idea
14.2. Preferences
14.3. Repeated Games
14.4. Finitely Repeated Prisoner's Dilemma
14.5. Infinitely Repeated Prisoner's Dilemma
14.6. Strategies in an Infinitely Repeated Prisoner's Dilemma
14.7. Some Nash Equilibria of an Infinitely Repeated Prisoner's Dilemma
14.8. Nash Equilibrium Payoffs of an Infinitely Repeated Prisoner's Dilemma
14.8.1. Experimental Evidence
14.9. Subgame Perfect Equilibria and the One-Deviation Property
14.9.1. Axelrod's Tournaments
14.10. Some Subgame Perfect Equilibria of an Infinitely Repeated Prisoner's Dilemma
14.10.1. Reciprocal Altruism Among Sticklebacks
14.11. Subgame Perfect Equilibrium Payoffs of an Infinitely Repeated Prisoner's Dilemma
14.11.1. Medieval Trade Fairs
14.12. Concluding Remarks
15. Repeated Games: General Results
15.1. Nash Equilibria of General Infinitely Repeated Games
15.2. Subgame Perfect Equilibria of General Infinitely Repeated Games
15.3. Finitely Repeated Games
15.4. Variation on a Theme: Imperfect Observability
16. Bargaining
16.1. Bargaining as an Extensive Game
16.2. Illustration: Trade in a Market
16.3. Nash's Axiomatic Model
16.4. Relation Between Strategic and Axiomatic Models
17. Appendix: Mathematics
17.1. Numbers
17.2. Sets
17.3. Functions
17.4. Profiles
17.5. Sequences
17.6. Probability
17.7. Proofs