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Article
Epistemic Conditions for Rationalizability
Games and Economic Behavior
  • Eduardo Zambrano, California Polytechnic State University - San Luis Obispo
Publication Date
5-1-2008
Abstract

In this paper I present conditions, not involving common knowledge of rationality, that lead to (correlated) rationalizability. The basic observation is that, if the actual world belongs to a set of states where the set Z of action profiles is played, everyone is rational and it is mutual knowledge that the action profiles played are in Z, then the actions played at the actual world are rationalizable actions. Alternatively, if at the actual world the support of the conjecture of player i is Di, there is mutual knowledge of: (i) the game being played, (ii) that the players are rational, and (iii) that for every i the support of the conjecture of player i is contained in Di, then every strategy in the support of the conjectures is rationalizable. The results do not require common knowledge of anything and are valid for games with any number of players.

Disciplines
Citation Information
Eduardo Zambrano. "Epistemic Conditions for Rationalizability" Games and Economic Behavior Vol. 63 Iss. 1 (2008) p. 395 - 405
Available at: http://works.bepress.com/ezambran/8/