论文标题
在不确定性下的平衡和模糊回报
Equilibrium under uncertainty with fuzzy payoff
论文作者
论文摘要
本文研究了N-玩家游戏，玩家对对手行为的信念是能力（模糊措施，非加性概率）。 J.Dow和S.Werlang（1994）引入了两名玩家的不确定性均衡概念，并扩展到J.Eichberger和D.Kelsey（2000）。预期实用程序（收益功能）由Choquet积分表示。 T.Radul（2018）考虑了在不确定性下与Sugeno积分表达的预期实用程序的平衡概念。我们在本文中考虑了由连续T-norm产生的模糊积分表达的预期实用性的平衡，这是Sugeno积分的自然概括。
This paper studies n-player games where players beliefs about their opponents behaviour are capacities (fuzzy measures, non-additive probabilities). The concept of an equilibrium under uncertainty was introduced by J.Dow and S.Werlang (1994) for two players and was extended to n-player games by J.Eichberger and D.Kelsey (2000). Expected utility (payoff function) was expressed by Choquet integral. The concept of an equilibrium under uncertainty with expected utility expressed by Sugeno integral were considered by T.Radul (2018). We consider in this paper an equilibrium with expected utility expressed by fuzzy integral generated by a continuous t-norm which is a natural generalization of Sugeno integral.
