Cooperative Grey Games

Author:

Alparslan-Gök Sirma Zeynep1,Qasım Emad1,Palancı Osman1,Olgun Mehmet-Onur1

Affiliation:

1. Süleyman Demirel University, Turkey

Abstract

In this chapter, the authors extend transportation situations under uncertainty by using grey numbers. Further, they try in this research building models for grey game problems on transportation situations proposing the ideas of grey solutions and their corresponding structures. They introduce cooperative grey games and grey solutions. They focus on the grey Shapley value and the grey core of the modeled game arising from transportation situations. Moreover, they prove the nonemptiness of the grey core for the transportation grey games, and some results on the relationship between the grey core.

Publisher

IGI Global

Reference37 articles.

1. Alparslan Gök, S. (2011). Set-valued solution concepts using interval-type payoffs for interval games. Journal of Mathematical Economics, 47(4-5), 621-626.

2. Alparslan Gök, S. Z., Branzei, R., & Tijs, S. (2008). Cores and Stable Sets for Interval-Valued Games. CentER Discussion Paper; Vol. 2008-17. Tilburg: Operations Research.

3. Convex Interval Games

4. Cooperation under interval uncertainty

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