Considering the psychological aspects of altruism and reciprocity in strategic interactions, we propose using the Cobb–Douglas utility function to refine standard utility functions as a weighted product of the player’s utility (“me” factor) and the jointly utility of players (“us” factor). We model an altruism willingness function to define the strategic allocation within “me” vs. “us” based on perceived kindness of the counterparts during the past agreements and unconditional altruism. Numerical examples are presented to show how the model represents the sequential group decision process of players with heterogeneous altruism profiles.

中文翻译：

---

改进的效用函数，用于在顺序小组决策过程中对“我”与“我们”分配进行建模

考虑到战略互动中利他主义和互惠主义的心理方面，我们建议使用Cobb–Douglas效用函数细化标准效用函数，将其作为玩家效用（“我”因子）和玩家共同效用（“ us”）的加权乘积。因素）。我们对利他主义的意愿函数进行建模，以基于过去协议和无条件利他主义中同行的感知善意来定义“我”对“我们”内的战略分配。给出了数值示例，以显示该模型如何表示具有异质利他行为的玩家的顺序小组决策过程。