Possibilistic Beliefs and Higher-Level Rationality

We consider rationality and rationalizability for normal-form games of incomplete information in which the players have possibilistic beliefs about their opponents. In this setting, we prove that the strategies compatible with the players being level-k rational coincide with the strategies surviving...

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Bibliographic Details
Main Authors: Chen, Jing, Micali, Silvio, Pass, Rafael
Other Authors: Silvio Micali
Published: 2014
Online Access:http://hdl.handle.net/1721.1/87727
Description
Summary:We consider rationality and rationalizability for normal-form games of incomplete information in which the players have possibilistic beliefs about their opponents. In this setting, we prove that the strategies compatible with the players being level-k rational coincide with the strategies surviving a natural k-step iterated elimination procedure. We view the latter strategies as the (level-k) rationalizable ones in our possibilistic setting.