International Journal of Game Theory

, Volume 46, Issue 2, pp 457–473

Characterizing solution concepts in terms of common knowledge of rationality

Original Paper
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Abstract

Characterizations of Nash equilibrium, correlated equilibrium, and rationalizability in terms of common knowledge of rationality are well known. Analogous characterizations of sequential equilibrium, (trembling hand) perfect equilibrium, and quasi-perfect equilibrium in n-player games are obtained here, using earlier results of Halpern characterizing these solution concepts using non-Archimedean fields.

Keywords

Characterizing solution concepts Common knowledge of rationality Sequential equilibrium Perfect equilibrium Quasi-perfect equilibrium 

Copyright information

© Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  1. 1.Computer Science DepartmentCornell UniversityIthacaUSA
  2. 2.Department of Electrical EngineeringTechnion-Israel Institute of TechnologyHaifaIsrael

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