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Titlebook: Introduction to the Theory of Cooperative Games; Bezalel Peleg,Peter Sudhölter Book 2007Latest edition Springer-Verlag Berlin Heidelberg 2

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发表于 2025-3-21 18:26:24 | 显示全部楼层 |阅读模式
书目名称Introduction to the Theory of Cooperative Games
编辑Bezalel Peleg,Peter Sudhölter
视频video
概述Detailed analysis and unified axiomatic treatment of the main solutions of cooperative games, both with and without side payments.Suitable for introductory and graduate courses on game theory.Includes
丛书名称Theory and Decision Library C
图书封面Titlebook: Introduction to the Theory of Cooperative Games;  Bezalel Peleg,Peter Sudhölter Book 2007Latest edition Springer-Verlag Berlin Heidelberg 2
描述.This book systematically presents the main solutions of cooperative games: the core, bargaining set, kernel, nucleolus, and the Shapley value of TU games, and the core, the Shapley value, and the ordinal bargaining set of NTU games. To each solution the authors devote a separate chapter wherein they study its properties in full detail. Moreover, important variants are defined or even intensively analyzed. The authors also investigate in separate chapters continuity, dynamics, and geometric properties of solutions of TU games. The study culminates in uniform and coherent axiomatizations of all the foregoing solutions (excluding the bargaining set). Such axiomatizations have not appeared in any book. Moreover, the book contains a detailed analysis of the main results on cooperative games without side payments. Such analysis is very limited or non-existent in other books on game theory..."Bezalel Peleg and Peter Sudhölter‘s book is a welcome addition to any game theory library. The book provides comprehensive coverage of the theory of cooperative games and, as such, would make useful reference book for researchers interested cooperative games. One of the strengths of this book is its
出版日期Book 2007Latest edition
关键词Axiomatic Analysis; Cooperative Games; Core; NTU Games; game theory
版次2
doihttps://doi.org/10.1007/978-3-540-72945-7
isbn_softcover978-3-642-09203-9
isbn_ebook978-3-540-72945-7Series ISSN 0924-6126 Series E-ISSN 2194-3044
issn_series 0924-6126
copyrightSpringer-Verlag Berlin Heidelberg 2007
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发表于 2025-3-21 22:32:38 | 显示全部楼层
Theory and Decision Library Chttp://image.papertrans.cn/i/image/474412.jpg
发表于 2025-3-22 01:10:04 | 显示全部楼层
https://doi.org/10.1007/978-3-540-72945-7Axiomatic Analysis; Cooperative Games; Core; NTU Games; game theory
发表于 2025-3-22 05:26:36 | 显示全部楼层
发表于 2025-3-22 11:39:40 | 显示全部楼层
Cooperative Games in Strategic and Coalitional Formalition functions. Section 11.1 introduces the concept of cooperative game in strategic form by means of a definition and three examples. The main example is a game in strategic form, where correlated strategies (of any coalition) may be supported by binding agreements.
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The Consistent Shapley Values extended to hyperplane games in a way that generalizes the “random order procedure” defined by (8.1.4). We show that the consistent Shapley value is .-consistent. Moreover, we prove that the consistent Shapley value on hyperplane games is characterized by single-valuedness, Pareto optimality, covariance, and 2-consistency.
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Coalitional TU Games and SolutionsThis chapter is divided into three sections. In the first section we define coalitional games and discuss some of their basic properties. In particular, we consider superadditivity and convexity of games. Also, constant-sum, monotonic, and symmetric games are defined.
发表于 2025-3-23 03:39:13 | 显示全部楼层
Bargaining SetsThe “classical” bargaining set . and some relatives are introduced and studied in this chapter. In the first section we provide the basic definitions of objections and counterobjections. Also, we check whether or not . satisfies the usual properties of solutions.
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