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The α-core in a multi-objective game with set payoffs

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  • Song, Qi-Qing
  • Guo, Min
  • Chi, Xin-Yi

Abstract

For the cooperative equilibria in α-core form, the balancedness and coalitionally C−security of games with usual utilities are extended to the games with discontinuous set payoffs. The existence of α−core for these games is established, which can deduce some typical results for normal form games. For continuous games, a quasi-concave-like set payoff is introduced. Based on the introduced set payoffs, the existence of α−core is also obtained. Examples are given to verify these results. Comparison with existing results in references shows that the introduced conditions are new to guarantee the existence of α−core for games with set payoffs.

Suggested Citation

  • Song, Qi-Qing & Guo, Min & Chi, Xin-Yi, 2024. "The α-core in a multi-objective game with set payoffs," Mathematical Social Sciences, Elsevier, vol. 131(C), pages 32-39.
    • Handle: RePEc:eee:matsoc:v:131:y:2024:i:c:p:32-39
    DOI: 10.1016/j.mathsocsci.2024.07.001
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