On the coincidence property

Chih Chang and Ying-Chih Tseng

Games and Economic Behavior, 2011, vol. 71, issue 2, 304-314

Abstract: The collection of the coalitions b is balanced if the Shapley value of the simple game [chi]b is 0. This observation makes us able to derive a class of simple games with the coincidence property, that is, the Shapley value and the nucleolus coincide. And then we use such a class of simple games as generators to construct coincidence regions, convex cones consisting of games with the coincidence property. We will first propose the SP region. Two sets of games satisfying the coincidence property are introduced. Both are SP regions. In fact, the SP regions do not cover all games satisfying the coincidence property even for 3-person case. To enlarge the class of games with the coincidence property, the ST regions are proposed. All 3-person games with the coincidence property can be classified into 4 ST regions.

Keywords: Shapley; value; Nucleolus; Coincidence; property; SP; region; ST; region; 2-game; PS; game; Simple; game (search for similar items in EconPapers)
Date: 2011
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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