Forward induction reasoning revisited
研究了Battigalli和Siniscalchi(2002)提出的前向归纳推理形式化概念“理性与共同强信念理性”(RCSBR)在所有类型结构中的行为含义,发现RCSBR等价于扩展形式最佳反应集(EFBRS)和导向理性化概念,并应用于有趣博弈。
Battigalli and Siniscalchi (2002) formalize the idea of forward induction reasoning as "rationality and common strong belief of rationality" (RCSBR). Here, we study the behavioral implications of RCSBR across all type structures. Formally, we show that RCSBR is characterized by a solution concept we call Extensive Form Best Response Sets (EFBRS's). It turns out that the EFBRS concept is equivalent to a concept already proposed in the literature, namely Directed Rationalizability. (See Battigalli and Siniscalchi 2003.) We conclude by applying the EFBRS concept to games of interest.