Abstract
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 Rêgo 2006, arxiv.org/abs/0704.2014), 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 that have been considered in the game-theory literature, with a focus on sequential equilibrium.
Similar content being viewed by others
References
Bernheim BD (1984) Rationalizable strategic behavior. Econometrica 52(4): 1007–1028
Feinberg Y (2004) Subjective reasoning—games with unawareness. Technical Report Research Paper Series #1875. Stanford Graduate School of Business
Feinberg Y (2005) Games with incomplete awareness. Technical Report Resarch Paper Series #1894. Stanford Graduate School of Business
Feinberg Y (2009) Games with unawareness. Unpublished manuscript. http://www.stanford.edu/~yossi/Files/Games%20With%20Unawareness.pdf
Halpern JY, Rêgo LC (2006) Extensive games with possibly unaware players. In: Proceedings of the fifth international joint conference on autonomous agents and multiagent systems, pp 744–751. Full version available at arxiv.org/abs/0704.2014
Heifetz A, Meier M, Schipper B (2008) Dynamic unawareness and rationalizable behavior. Unpublished manuscript. Available at www.econ.ucdavis.edu/faculty/schipper/unawdyn.pdf
Kreps DM, Wilson RB (1982) Sequential equilibria. Econometrica 50: 863–894
Kreps D, Milgrom P, Roberts J, Wilson R (1982) Rational cooperation in finitely repeated prisoners’ dilemma. J Econ Theory 27(2): 245–252
Li J (2006) Dynamic games of complete information with unawareness. Unpublished manuscript
Li J (2008) Modeling unawareness in arbitrary state spaces. PIER Working Paper No. 08-021. Available at SSRN:http://ssrn.com/abstract=1151335
Li J (2009) Information structures with unawareness. J Econ Theory 144(3): 977–993
Myerson R (1978) Refinements of the Nash equilibrium concept. Int J Game Theory 7: 73–80
Myerson RB (1991) Game theory. Harvard University Press, Cambridge
Osborne MJ (2004) An introduction to game theory. Oxford University Press, New York
Osborne MJ, Rubinstein A (1994) A course in game theory. MIT Press, Cambridge
Ozbay E (2007) Unawareness and strategic announcements in games with uncertainty. In: Theoretical aspects of rationality and knowledge: Proceedings of the eleventh conference (TARK 2007). pp 231–238. Available at www.econ.umd.edu/~ozbay/unaware.pdf
Pearce DG (1984) Rationalizable strategic behavior and the problem of perfection. Econometrica 52(4): 1029–1050
Selten R (1975) Reexamination of the perfectness concept for equilibrium points in extensive games. Int J Game Theory 4: 25–55
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Rêgo, L.C., Halpern, J.Y. Generalized solution concepts in games with possibly unaware players. Int J Game Theory 41, 131–155 (2012). https://doi.org/10.1007/s00182-011-0276-8
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00182-011-0276-8