首页 | 本学科首页   官方微博 | 高级检索  
     检索      


Shapley mappings and the cumulative value for n-person games with fuzzy coalitions
Authors:Dan Butnariu  Tomáš Kroupa
Institution:1. Department of Mathematics, University of Haifa, 31 905 Haifa, Israel;2. Institute of Information Theory and Automation, Academy of Sciences of the Czech Republic, Pod Vodárenskou vě?í 4, 182 08 Prague, Czech Republic
Abstract:In this paper we prove existence and uniqueness of the so-called Shapley mapping, which is a solution concept for a class of n-person games with fuzzy coalitions whose elements are defined by the specific structure of their characteristic functions. The Shapley mapping, when it exists, associates to each fuzzy coalition in the game an allocation of the coalitional worth satisfying the efficiency, the symmetry, and the null-player conditions. It determines a “cumulative value” that is the “sum” of all coalitional allocations for whose computation we provide an explicit formula.
Keywords:Coalition  Cumulative value  Fuzzy coalition  n-Person cooperative game  Shapley value
本文献已被 ScienceDirect 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号