Generalized solution concepts in games with possibly unaware players

Most work in game theory assumes that players are perfect reasoners and have common knowledge of all significant aspects of the game. In earlier work [Halpern and Rˆego 2006], we proposed a framework for representing and analyzing games with possibly unaware players, and suggested a generalization of Nash equilibrium appropriate for games with unaware players that we called generalized Nash equilibrium. Here, we use this framework to analyze other solution concepts, with a focus on sequential equilibrium. We also provide some insight into the notion of generalized Nash equilibrium by proving that it is closely related to the notion of rationalizability when we restrict the analysis to games in normal form and no unawareness is involved.

• Type: Conference
• Year: 2007
• Where: TARK
• Authors: Leandro Chaves Rêgo, Joseph Y. Halpern
• Keywords: Nash Equilibrium, Nash Equilibrium Appropriate, TARK 2007, Unaware Players