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Nash-stable coalition partition and potential functions in games with coalition structure

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  • Gusev, Vasily V.

Abstract

This work proves the existence of a coalition structure that is both Nash-stable and strongly permutation-stable for classes of coalition partition games. Among them are games where player’s payoff are Aumann-Drze value or the weighted value. These results are obtained by adapting the definition of a potential function for coalition partition games.

Suggested Citation

  • Gusev, Vasily V., 2021. "Nash-stable coalition partition and potential functions in games with coalition structure," European Journal of Operational Research, Elsevier, vol. 295(3), pages 1180-1188.
    • Handle: RePEc:eee:ejores:v:295:y:2021:i:3:p:1180-1188
    DOI: 10.1016/j.ejor.2021.03.066
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