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On the structure of core solutions of discontinuous general cooperative games

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  • Qi-Qing Song

    (Shanxi Normal University)

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.

Suggested Citation

  • Qi-Qing Song, 2024. "On the structure of core solutions of discontinuous general cooperative games," International Journal of Game Theory, Springer;Game Theory Society, vol. 53(1), pages 105-125, March.
    • Handle: RePEc:spr:jogath:v:53:y:2024:i:1:d:10.1007_s00182-023-00856-1
    DOI: 10.1007/s00182-023-00856-1
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    References listed on IDEAS

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