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On the structure of core solutions of discontinuous general cooperative games

Qi-Qing Song ()
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Qi-Qing Song: Shanxi Normal University

International Journal of Game Theory, 2024, vol. 53, issue 1, No 4, 105-125

Abstract: Abstract The existence of core solutions for general cooperative games (Game Econ Behav 4:145–160, 1992) is extended to the case with discontinuous and non-quasiconcave payoffs. The analysis shows that the core of a discontinuous general cooperative game is homeomorphic to a KKMS-related region of a simplex. Each discontinuous general cooperative game has a refined stable set consisting of some efficient core solutions.

Keywords: General cooperative games; Discontinuous games; Homeomorphism; Efficient core solutions; Stable solution sets (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s00182-023-00856-1

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