The core configuration for fuzzy games

Article type: Research Article

Authors: Hwang, Yan-An | Liao, Yu-Hsien

Affiliations: Department of Applied Mathematics, National Dong Hwa University, Hualien, Taiwan | Department of Applied Mathematics, National Pingtung University of Education, Pingtung, Taiwan

Note: [] Corresponding author. Yu-Hsien Liao, Department of Applied Mathematics, National Pingtung University of Education, Pingtung 900, Taiwan. E-mails: [email protected] (Yu-Hsien Liao); [email protected] (Yan-An Hwang).

Abstract: This paper extends the solution concept of the core for cooperative games to fuzzy games by taking into consideration the activity levels, which we term the core configuration. Unlike the core introduced by Aubin in 1981, the core configuration has an inherently inessential games property. Moreover, we propose a necessary and sufficient condition to investigate the non-emptiness of the core configuration. Based on the properties of consistency and its converse, an axiomatization of the core configuration is also proposed.

Keywords: Fuzzy games, the core configuration, inessential games

DOI: 10.3233/IFS-141259

Journal: Journal of Intelligent & Fuzzy Systems, vol. 27, no. 6, pp. 3007-3014, 2014