Game theory

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Title:

Game theory

Personal Author:

Owen, Guillermo, author

Edition:

Fouthr edition

Publication Information:

Bingley : Emerald Group Publishing Limited, 2013

Physical Description:

viii, 450 pages : illustrations ; 24 cm.

ISBN:

9781781905074

Subject Term:

Game theory

Available:*

Library	Item Barcode	Call Number	Material Type	Item Category 1	Status
Searching... PSZ JB	30000010334984	QA269 O93 2013	Open Access Book	Book	Searching... Unknown

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 the only book to cover all salient aspects of this field that, having displaced Keynesian economics, is making inroads throughout the social sciences. The key features are: it explains work of 1994 Nobel Prize Winners; it provides full expansion of cooperative game theory sections; it covers games with incomplete information; it includes a spatial games section that features many illustrations; and, it includes an updated bibliography.

Preface	p. ix
1 Definition of a Game	p. 1
1.1 General Notions	p. 1
1.2 Games in Extensive Form	p. 1
1.3 Strategies: The Normal Form	p. 4
1.4 Equilibrium n-Tuples	p. 5
1.5 The Monty Hall Game	p. 7
Problems	p. 9
2 Two-Person Zero-Sum Games	p. 13
2.1 Zero-Sum Games	p. 13
2.2 The Normal Form	p. 14
2.3 Mixed Strategies	p. 15
2.4 The Minimax Theorem	p. 17
2.5 Computation of Optimal Strategies	p. 24
2.6 Symmetric Games	p. 30
Problems	p. 31
3 Linear Programming	p. 35
3.1 Introduction	p. 35
3.2 Duality	p. 36
3.3 Solution of Linear Programs	p. 42
3.4 The Simplex Algorithm	p. 43
3.5 The Simplex Algorithm (Continued)	p. 48
3.6 Examples	p. 52
3.7 Constrained Games	p. 57
Problems	p. 59
4 Infinite Games	p. 63
4.1 Games with Countably many Strategies	p. 63
4.2 Games on the Square	p. 65
4.3 Games with Continuous Kernel	p. 66
4.4 Concave-Convex Games	p. 69
4.5 Games of Timing	p. 71
4.6 Higher Dimensions	p. 76
Problems	p. 82
5 Multistage Games	p. 87
5.1 Behavioral Strategies	p. 87
5.2 Games of Exhaustion	p. 88
5.3 Stochastic Games	p. 92
5.4 Recursive Games	p. 98
5.5 Differential Games	p. 100
Problems	p. 113
6 Games with Incomplete Information	p. 117
6.1 Introduction: The One-Stage Signaling Model	p. 117
6.2 The Multistage Model	p. 125
Problems	p. 144
7 Utility Theory	p. 147
7.1 Ordinal Utility	p. 147
7.2 Lotteries	p. 148
7.3 Commodity Bundles	p. 153
7.4 Absolute Utility	p. 154
Problems	p. 156
8 Two-Person General-Sum Games	p. 159
8.1 Bimatrix Games (Noncooperative)	p. 159
8.2 Perfect Equilibrium Points	p. 162
8.3 Evolutionary Stable Systems	p. 169
8.4 Correlated Equilibria	p. 178
Problems	p. 183
9 Two-Person Cooperative Games	p. 187
9.1 The Bargaining Problem	p. 187
9.2 Threats	p. 194
9.3 Time-Restricted Bargaining	p. 198
Problems	p. 205
10 n-Person Games	p. 207
10.1 Noncooperative Games	p. 207
10.2 Cooperative Games	p. 207
10.3 Domination, Strategic Equivalence, and Normalization	p. 210
10.4 The Core	p. 213
10.5 Balanced Collections	p. 219
Problems	p. 227
11 Stable Sets	p. 229
11.1 Introduction	p. 229
11.2 Properties of Stable Sets	p. 235
11.3 Edgeworth Market Games-An Example	p. 243
11.4 A Game with No Solutions	p. 247
Problems	p. 252
12 Indices of Power	p. 255
12.1 The Shapley Value	p. 255
12.2 Multilinear Extensions	p. 260
12.3 The Banzhaf-Coleman Index of Power	p. 273
12.4 The Presidential Election "Game"	p. 286
12.5 The Coalition Value	p. 294
Problems	p. 303
13 The Bargaining Set and Related Concepts	p. 305
13.1 The Bargaining Set	p. 305
13.2 The Kernel	p. 310
13.3 The Nucleolus	p. 312
13.4 The Airport Game	p. 324
Problems	p. 331
14 Nonatomic Games	p. 333
14.1 Games with a Continuum of Players	p. 333
14.2 Values of Nonatomic Games	p. 336
14.3 Internal Telephone Billing Rates - An Example	p. 350
Problems	p. 352
15 Games without Side Payments	p. 355
15.1 Introduction	p. 355
15.2 The Core	p. 360
15.3 Market Games	p. 375
15.4 Approaches to the Value	p. 383
15.5 The Bargaining Sets	p. 388
Problems	p. 392
16 Spatial Games	p. 395
16.1 The Core and Near-Core Solution Concepts	p. 395
16.2 The Modified Power Index	p. 402
Problems	p. 411
17 Other Applications	p. 413
17.1 Introduction	p. 413
17.2 Single-Item Auctions	p. 413
17.3 Mechanisms	p. 417
17.4 Public Goods	p. 421
17.5 Two-sided Matching	p. 424
Problems	p. 429
Appendix
A.1 Convexity	p. 433
A.2 Fixed Point Theorems	p. 436
Bibliography	p. 437
Index	p. 447

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