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Introduction to the Theory of Games : Concepts, Methods, Applications :  Concepts, Methods, Applications - Ferenc Forgo

Introduction to the Theory of Games : Concepts, Methods, Applications

Concepts, Methods, Applications

Hardcover

Published: January 1999
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Game theory, defined in the broadest sense, is a collection of mathematical models designed for the analysis of strategic aspects of situations of conflict and cooperation in a broad spectrum of fields including economics, politics, biology, engineering, and operations research. This book, besides covering the classical results of game theory, places special emphasis on methods of determining `solutions' of various game models. Generalizations reaching beyond the `convexity paradigm' and leading to nonconvex optimization problems are enhanced and discussed in more detail than in standard texts on this subject. The development is theoretical-mathematical interspersed with elucidating interpretations and examples. Audience: The material in the book is accessible to PhD and graduate students and will also be of interest to researchers. Solid knowledge of standard undergraduate mathematics is required to read the book.

Preface
Introduction
Noncooperative gamesp. 1
Noncooperative game formsp. 3
Nash equilibriap. 9
Existence of Nash equilibriump. 17
Uniqueness of Nash equilibriump. 33
Mixed extensions of finite gamesp. 43
Computation of equilibria in mixed extensions of finite gamesp. 53
The oligopoly gamep. 65
Two-person zero-sum gamesp. 95
Matrix gamesp. 107
Games played over the unit hypercubep. 143
Bimatrix gamesp. 157
Repeated gamesp. 179
Games with incomplete informationp. 189
Problems and exercisesp. 207
Cooperative gamesp. 215
Games in characteristic function formp. 217
The corep. 225
Stable setsp. 237
The nucleolusp. 245
The Shapley valuep. 257
The kernel and the bargaining setp. 271
Game theory and cost allocationp. 277
Games without transferable utilityp. 287
The Nash bargaining solution and its extensionsp. 291
Two-person bargaining processesp. 305
Problems and exercisesp. 317
Appendixp. 323
Referencesp. 325
Indexp. 335
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780792357759
ISBN-10: 0792357752
Series: Nonconvex Optimization and Its Applications, V. 32
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 340
Published: January 1999
Publisher: Springer
Country of Publication: NL
Dimensions (cm): 25.4 x 17.15  x 2.54
Weight (kg): 0.68