| 书目名称 | The Pre-Kernel as a Tractable Solution for Cooperative Games |
| 副标题 | An Exercise in Algor |
| 编辑 | Holger Ingmar Meinhardt |
| 视频video | http://file.papertrans.cn/918/917546/917546.mp4 |
| 概述 | Characterizes a fair division rule of game theory by convex analysis.Proposes tractable formula to solve fair division problems in real life situations.Provides algorithms to implement vectorized and |
| 丛书名称 | Theory and Decision Library C |
| 图书封面 |  |
| 描述 | .This present book provides an alternative approach to study the pre-kernel solution of transferable utility games based on a generalized conjugation theory from convex analysis. Although the pre-kernel solution possesses an appealing axiomatic foundation that lets one consider this solution concept as a standard of fairness, the pre-kernel and its related solutions are regarded as obscure and too technically complex to be treated as a real alternative to the Shapley value. Comprehensible and efficient computability is widely regarded as a desirable feature to qualify a solution concept apart from its axiomatic foundation as a standard of fairness. We review and then improve an approach to compute the pre-kernel of a cooperative game by the indirect function. The indirect function is known as the Fenchel-Moreau conjugation of the characteristic function. Extending the approach with the indirect function, we are able to characterize the pre-kernel of the grand coalition simply by the solution sets of a family of quadratic objective functions.. |
| 出版日期 | Book 2014 |
| 关键词 | Convex Analysis; Cooperative Game Theory; Fair Division; Fairness; Fenchel-Moreau Conjugation; Pre-Kernel |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-642-39549-9 |
| isbn_softcover | 978-3-662-51314-9 |
| isbn_ebook | 978-3-642-39549-9Series ISSN 0924-6126 Series E-ISSN 2194-3044 |
| issn_series | 0924-6126 |
| copyright | Springer-Verlag Berlin Heidelberg 2014 |
|Archiver|手机版|小黑屋|
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