Rational expectations and farsighted stability
针对远见稳定集可能产生不合理预测的问题，本文引入共同且历史独立的理性预期，提出理性预期远见稳定集和强理性预期远见稳定集，并在简单博弈和掠夺博弈中展示其效果。
In the study of farsighted coalitional behavior, a central role is played by the von Neumann-Morgenstern (1944) stable set and its modification that incorporates farsightedness. Such a modification was first proposed by Harsanyi (1974) and was recently reformulated by Ray and Vohra (2015). The farsighted stable set is based on a notion of indirect dominance in which an outcome can be dominated by a chain of coalitional 'moves' in which each coalition that is involved in the sequence eventually stands to gain. However, it does not require that each coalition make a maximal move, i.e., one that is not Pareto dominated (for the members of the coalition in question) by another. Consequently, when there are multiple continuation paths, the farsighted stable set can yield unreasonable predictions. We restrict coalitions to hold common, history independent expectations that incorporate maximality regarding the continuation path. This leads to two related solution concepts: the rational expectations farsighted stable set and the strong rational expectations farsighted stable set. We apply these concepts to simple games and to pillage games to illustrate the consequences of imposing rational expectations for farsighted stability.