关键词: 选时博弈, RDEU理论, RDEU博弈模型, 情绪函数

Abstract: According to the rank-dependent expected utility theory, to study the classic game of timing, by introducing the nonlinear decision weighting function that can portray the players’ emotional state in the game, and extending the RDEU limited strategy game to a continuous game, we build a RDEU game of timing model. Based on the Riccati differential equation solution, we obtain the optimal strategies of the players in the game model. Finally, we analyze different emotional states influence the behavior of players’ game decision-making by numerical simulation. This paper finds that emotion has a great impact on the optimal strategy of the mixed strategies. In an optimistic mood state, the player can easily build confidence and trust in the mixed strategy, and take the risk-seeking; in a pessimism state, the players tend to lack confidence and trust in mixed strategies, take risk-aversion.

Key words: RDEU theory, RDEU game model, emotional function