✦ LIBER ✦

The fuzzy core in games with fuzzy coalitions

✍ Scribed by Xiaohui Yu; Qiang Zhang

Publisher: Elsevier Science
Year: 2009
Tongue: English
Weight: 733 KB
Volume: 230
Category: Article
ISSN: 0377-0427
DOI: 10.1016/j.cam.2008.11.004

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper, the fuzzy core of games with fuzzy coalition is proposed, which can be regarded as the generalization of crisp core. The fuzzy core is based on the assumption that the total worth of a fuzzy coalition will be allocated to the players whose participation rate is larger than zero. The nonempty condition of the fuzzy core is given based on the fuzzy convexity. Three kinds of special fuzzy cores in games with fuzzy coalition are studied, and the explicit fuzzy core represented by the crisp core is also given. Because the fuzzy Shapley value had been proposed as a kind of solution for the fuzzy games, the relationship between fuzzy core and the fuzzy Shapley function is also shown. Surprisingly, the relationship between fuzzy core and the fuzzy Shapley value does coincide, as in the classical case.

📜 SIMILAR VOLUMES

Coalitional game with fuzzy payoffs and

Coalitional game with fuzzy payoffs and credibilistic core

✍ Puchen Shen; Jinwu Gao 📂 Article 📅 2010 🏛 Springer 🌐 English ⚖ 246 KB

Games in fuzzy conditions

✍ S.A. Orlovskii 📂 Article 📅 1976 🏛 Elsevier Science ⚖ 636 KB

On cores and stable sets for fuzzy games

✍ S Tijs; R Brânzei; S Ishihara; S Muto 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 259 KB

In this paper, cores and stable sets for games with fuzzy coalitions are introduced and their relations studied. For convex fuzzy games it turns out that all cores coincide and that the core is the unique stable set. Also relations between cores and stable sets of fuzzy clan games are discussed.

Equilibrium solutions in multiobjective

Equilibrium solutions in multiobjective bimatrix games with fuzzy payoffs and fuzzy goals

✍ Ichiro Nishizaki; Masatoshi Sakawa 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 168 KB

When the game theory is applied to real world problems such as decision making in public and managerial problems, on occasions it is di cult to assess payo s exactly because of inaccuracy of information and fuzzy understanding of situations by experts. In such cases, games with fuzzy payo s, in whic

Core in a simple coalition formation gam

Core in a simple coalition formation game

✍ Suryapratim Banerjee; Hideo Konishi; Tayfun Sönmez 📂 Article 📅 2001 🏛 Springer 🌐 English ⚖ 162 KB

Egalitarianism in convex fuzzy games

✍ Rodica Branzei; Dinko Dimitrov; Stef Tijs 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 153 KB