On the Expected Value of Games with Absentmindedness
指出Piccione和Rubinstein关于不完全回忆博弈中时间不一致性的论证依赖于一个未明确定义的概念,并在合理假设下证明不存在悖论,对博弈论研究者有参考价值。
Piccione and Rubinstein argue that a seemingly paradoxical form oftime inconsistencycan arise in games of imperfect recall. Their argument depends on calculating the expected value of a game from the standpoint of a player in the middle of play. We claim that this concept is not well defined in games with absentmindness (where two nodes on a path can be in the same information set) without additional assumptions. We show that, under some reasonable assumptions, no time inconsistency arises. Different assumptions will validate Piccione and Rubinstein's calculations, but these are such as to remove the appearance of paradox.Journal of Economic LiteratureClassification Numbers: C70, D80, D84.