Game theory : a multi-leveled approach
著者
書誌事項
Game theory : a multi-leveled approach
（Springer texts in business and economics）
Springer, c2015
2nd ed
- : pbk
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注記
Previous edition: 2008
Includes bibliographical references and index
"Softcover reprint of the hardcover 2nd edition 2015"--T.p. verso in pbk.
内容説明・目次
内容説明
This textbook presents the basics of game theory both on an undergraduate level and on a more advanced mathematical level. It is the second, revised version of the successful 2008 edition. The book 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 contains a problem section. Hints, answers and solutions are included.
目次
Introduction.- Part I Thinking Strategically.- Finite Two-Person Zero-Sum Games.- Finite Two-Person Games.- Finite Extensive Form Games.- Finite Games with Incomplete Information.- Noncooperative Games: Extensions.- Repeated Games.- An Introduction to Evolutionary Games.- Cooperative Games with Transferable Utility.- Cooperative Game Models.- Social Choice.- Part II Noncooperative Games.- Matrix Games.- Finite Games.- Extensive Form Games.- Evolutionary Games.- Part III Cooperative Games.- TU-Games: Dominationa, Stable Sets, and the Core.- The Shapley Value.- Core, Shapley Value, and Weber Set.- The Nucleolus.- Special Transferable Utility Games.- Bargaining Problems.- Part IV Tools.
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