Game theory / Guillermo Owen.

Format:

Book

Author/Creator:

Owen, Guillermo, author.

Language:

English

Subjects (All):

Game theory--Econometric models.

Game theory.

Physical Description:

1 online resource (462 p.)

Edition:

4th ed.

Place of Publication:

Bingley : Emerald Publishing Limited, [2013]

Summary:

Game Theory has served as a standard text for game theory courses since the publication of the First Edition in 1968. The Fourth Edition updates several recently developed subfields. It adds fresh chapters on subjects such as games with incomplete information and spatial games. Owen has expanded ""Two-Person General-Sum Games"" into two chapters, the second becoming ""Two-Person Cooperative Games."" There are new sections in the chapters ""Two-Person Cooperative Games"" and ""Indices of Power,"" and there is new information throughout the book on non-cooperative games. ""Game Theory"" remains

Contents:

Front Cover; Game Theory; Copyright Page; Contents; Preface; 1. Definition of a Game; 1.1. General Notions; 1.2. Games in Extensive Form; 1.3. Strategies: The Normal Form; 1.4. Equilibrium n-Tuples; 1.5. The Monty Hall Game; Problems; 2. Two-Person Zero-Sum Games; 2.1. Zero-Sum Games; 2.2. The Normal Form; 2.3. Mixed Strategies; 2.4. The Minimax Theorem; 2.5. Computation of Optimal Strategies; 2.6. Symmetric Games; Problems; 3. Linear Programming; 3.1. Introduction; 3.2. Duality; 3.3. Solution of Linear Programs; 3.4. The Simplex Algorithm; 3.5. The Simplex Algorithm (Continued)

3.6. Examples3.7. Constrained Games; Problems; 4. Infinite Games; 4.1. Games with Countably many Strategies; 4.2. Games on the Square; 4.3. Games with Continuous Kernel; 4.4. Concave-Convex Games; 4.5. Games of Timing; 4.6. Higher Dimensions; Problems; 5. Multistage Games; 5.1. Behavioral Strategies; 5.2. Games of Exhaustion; 5.3. Stochastic Games; 5.4. Recursive Games; 5.5. Differential Games; Problems; 6. Games with Incomplete Information; 6.1. Introduction: The One-Stage Signaling Model; 6.2. The Multistage Model; Problems; 7. Utility Theory; 7.1. Ordinal Utility; 7.2. Lotteries

7.3. Commodity Bundles7.4. Absolute Utility; Problems; 8. Two-Person General-Sum Games; 8.1. Bimatrix Games (Noncooperative); 8.2. Perfect Equilibrium Points; 8.3. Evolutionary Stable Systems; 8.4. Correlated Equilibria; Problems; 9. Two-Person Cooperative Games; 9.1. The Bargaining Problem; 9.2. Threats; 9.3. Time-Restricted Bargaining; Problems; 10. n-Person Games; 10.1. Noncooperative Games; 10.2. Cooperative Games; 10.3. Domination, Strategic Equivalence, and Normalization; 10.4. The Core; 10.5. Balanced Collections; Problems; 11. Stable Sets; 11.1. Introduction

11.2. Properties of Stable Sets11.3. Edgeworth Market Games-An Example; 11.4. A Game with No Solutions; Problems; 12. Indices of Power; 12.1. The Shapley Value; 12.2. Multilinear Extensions; 12.3. The Banzhaf-Coleman Index of Power; 12.4. The Presidential Election ''Game''; 12.5. The Coalition Value; Problems; 13. The Bargaining Set and Related Concepts; 13.1. The Bargaining Set; 13.2. The Kernel; 13.3. The Nucleolus; 13.4. The Airport Game; Problems; 14. Nonatomic Games; 14.1. Games with a Continuum of Players; 14.2. Values of Nonatomic Games

14.3. Internal Telephone Billing Rates - An ExampleProblems; 15. Games without Side Payments; 15.1. Introduction; 15.2. The Core; 15.3. Market Games; 15.4. Approaches to the Value; 15.5. The Bargaining Sets; Problems; 16. Spatial Games; 16.1. The Core and Near-Core Solution Concepts; 16.2. The Modified Power Index; Problems; 17. Other Applications; 17.1. Introduction; 17.2. Single-Item Auctions; 17.3. Mechanisms; 17.4. Public Goods; 17.5. Two-sided Matching; Problems; Appendix; A.1. Convexity; A.2. Fixed Point Theorems; Bibliography; Index

Notes:

Description based upon print version of record.

Description based on print version record.

ISBN:

9781781905081

1781905088