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Game Theory: A Multi-Leveled Approach - Hardcover

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9783540692904: Game Theory: A Multi-Leveled Approach

Synopsis

This book presents the basics of game theory both on an undergraduate level and on a more advanced mathematical level. It covers topics of interest in game theory, including cooperative game theory. Every chapter includes a problem section.

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This book presents the basics of game theory both on an undergraduate level and on a more advanced mathematical level. It covers most topics of interest in game theory, including cooperative game theory. Part I presents introductions to all these topics on a basic yet formally precise level. It includes chapters on repeated games, social choice theory, and selected topics such as bargaining theory, exchange economies, and matching. Part II goes deeper into noncooperative theory and treats the theory of zerosum games, refinements of Nash equilibrium in strategic as well as extensive form games, and evolutionary games. Part III covers basic concepts in the theory of transferable utility games, such as core and balancedness, Shapley value and variations, and nucleolus. Some mathematical tools on duality and convexity are collected in Part IV. Every chapter in the book concludes with a problem section. Hints, answers and solutions are included.

About the Author

Hans Peters studied mathematics at the Radboud University (Nijmegen, The Netherlands), where he graduated in 1982. Since 1984 he has been working at Maastricht University, at the Department of Quantitative Economics and the Department of Mathematics. He received his Ph.D. from Radboud University in 1986.

He is Professor of Quantitative Economics, in particular Mathematical Economics, at the Department of Quantitative Economics, School of Business and Economics, Maastricht University. He is also Honorar Professor at the Rheinisch-Westfälische Technische Hochschule, Aachen, Germany.

He is a Fellow of the Society for the Advancement of Economic Theory SAET.

His main research interests are game theory and social choice theory, and he is currently an editor of Social Choice and Welfare, Games and Economic Behavior, and Mathematical Social Sciences, and main editor of the Theory and Decision Library Series C: Game Theory, Social Choice, Decision Theory, and Optimization, published by Springer (http://www.springer.com/series/6618).

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Hans Peters
Published by Springer, 2008
ISBN 10: 3540692908 ISBN 13: 9783540692904
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