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Game Theory [electronic resource] :A Multi-Leveled Approach / by Hans Peters.

by Peters, Hans [author.]; SpringerLink (Online service).
Material type: materialTypeLabelBookPublisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2008.Description: online resource.ISBN: 9783540692911.Subject(s): Economics | Mathematics | Microeconomics | Economics, Mathematical | Economics/Management Science | Game Theory/Mathematical Methods | Game Theory, Economics, Social and Behav. Sciences | Operations Research/Decision Theory | MicroeconomicsDDC classification: 330.0151 | 330 Online resources: Click here to access online
Contents:
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 Theory Models -- Social Choice -- Noncooperative Games -- Matrix Games -- Finite Games -- Extensive Form Games -- Evolutionary Games -- Cooperative Games -- TU-Games: Domination, Stable Sets, and the Core -- The Shapley Value -- Core, Shapley Value, and Weber Set -- The Nucleolus -- Special Transferable Utility Games -- Bargaining Problems -- Tools -- Tools.
In: Springer eBooksSummary: 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.
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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 Theory Models -- Social Choice -- Noncooperative Games -- Matrix Games -- Finite Games -- Extensive Form Games -- Evolutionary Games -- Cooperative Games -- TU-Games: Domination, Stable Sets, and the Core -- The Shapley Value -- Core, Shapley Value, and Weber Set -- The Nucleolus -- Special Transferable Utility Games -- Bargaining Problems -- Tools -- Tools.

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.

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