2005Unpublished venueRequires access

Essays on Rationalizability

Tai‐Wei Hu, 胡台威

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Abstract

Three essays on rationalizability are included in this thesis. The first one concerns the main attempt of this solution concept --- to capture strategic implications of the common certainty of rationality. I show that the attempt is achieved in a sense with some technical conditions. The second one provides two extensions of rationalizability: (1) to strategic implications of common p-belief of rationality and (2) to games with incomplete information. Finally I show the robustness of rationalizable sets for strategic form games with or without complete information.

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Three essays on rationalizability are included in this thesis. The first one concerns the main attempt of this solution concept --- to capture strategic implications of the common certainty of rationality. I show that the attempt is achieved in a sense with some technical conditions. The second one provides two extensions of rationalizability: (1) to strategic implications of common p-belief of rationality and (2) to games with incomplete information. Finally I show the robustness of rationalizable sets for strategic form games with or without complete information.

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Available abstract

Three essays on rationalizability are included in this thesis. The first one concerns the main attempt of this solution concept --- to capture strategic implications of the common certainty of rationality. I show that the attempt is achieved in a sense with some technical conditions. The second one provides two extensions of rationalizability: (1) to strategic implications of common p-belief of rationality and (2) to games with incomplete information. Finally I show the robustness of rationalizable sets for strategic form games with or without complete information.

Key concepts: Rationalizability, Rationality, Robustness (evolution), Mathematical economics, Certainty, Complete information, Solution concept, Computer science

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