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Game Theory : A Multi-Leveled Approach / by Hans Peters

Contributor(s): Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: SpringerLink BücherPublisher: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2008Description: Online-Ressource (digital)ISBN:
  • 9783540692911
Subject(s): Additional physical formats: 9783540692904 | Buchausg. u.d.T.: Game theory. Berlin : Springer, 2008. XV, 365 S.DDC classification:
  • 330.0151
  • 330
  • 519.3
MSC: MSC: *91-01 | 91AxxRVK: RVK: QH 430LOC classification:
  • HB144
  • QA269
DOI: DOI: 10.1007/978-3-540-69291-1Online resources:
Contents:
""Preface""; ""Contents""; ""Chapter 1 Introduction""; ""Part I Thinking Strategically""; ""Chapter 2 Finite Two-Person Zero-Sum Games""; ""Chapter 3 Finite Two-Person Games""; ""Chapter 4 Finite Extensive Form Games""; ""Chapter 5 Finite Games with Incomplete Information""; ""Chapter 6 Noncooperative Games: Extensions""; ""Chapter 7 Repeated Games""; ""Chapter 8 An Introduction to Evolutionary Games""; ""Chapter 9 Cooperative Games with Transferable Utility""; ""Chapter 10 Cooperative Game Theory Models""; ""Chapter 11 Social Choice""; ""Part II Noncooperative Games""
""Chapter 12 Matrix Games""""Chapter 13 Finite Games""; ""Chapter 14 Extensive Form Games""; ""Chapter 15 Evolutionary Games""; ""Part III Cooperative Games""; ""Chapter 16 TU-Games: Domination, Stable Sets, and the Core""; ""Chapter 17 The Shapley Value""; ""Chapter 18 Core, Shapley Value, and Weber Set""; ""Chapter 19 The Nucleolus""; ""Chapter 20 Special Transferable Utility Games""; ""Chapter 21 Bargaining Problems""; ""Part IV Tools""; ""Chapter 22 Tools""; ""Hints, Answers and Solutions""; ""References""; ""Index""
Summary: 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.PPN: PPN: 1647376912Package identifier: Produktsigel: ZDB-2-SBE
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