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Game Theory

A Multi-Leveled Approach

Specificaties
Paperback, blz. | Engels
Springer Berlin Heidelberg | 2e druk, 2016
ISBN13: 9783662518779
Rubricering
Juridisch :
Springer Berlin Heidelberg 2e druk, 2016 9783662518779
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Samenvatting

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.

Specificaties

ISBN13:9783662518779
Taal:Engels
Bindwijze:paperback
Uitgever:Springer Berlin Heidelberg
Druk:2
Hoofdrubriek:

Inhoudsopgave

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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        Game Theory