Abstract
Processes of iterated elimination of strategies that are not best responses are studied. Some suggestions are made about how rational players may use their mutual knowledge about game and behavior.
Similar content being viewed by others
References
M. Allias, The foundations of positive theory of choice involving risk and a criticism of the postulates and axioms of the American School, in:Expected Utility and the Allias Paradox, ed. M. Allias and O. Hagen (Reidel, Dordrecht, 1979).
S. Ambroszkiewicz, Mutual knowledge, in:Proc. Int. Symp. on Methodologies of Intelligent Systems, Trondheim, Norway, Lecture Notes in Artificial Intelligence (Springer, 1993).
R.J. Aumann, Agreeing to disagree, Ann. Statist. 4(1976)1236–1239.
D. Bernheim, Rationalizable strategic behavior, Econometrica 52(1984)1007–1028.
D. Bernheim, Axiomatic characterization of tational choice in strategic environments, Scand. J. Econ. 88(1986)473–488.
A. Brandenburger and E. Deckel, Rationalizability and correlated equilibria, Econometrica 55(1987)1391–1402.
J.Y. Halpern and Y.O. Moses, Knowledge and common knowledge in a distributed environment, J. ACM 37(1990)549–587.
P. Milgrom and J. Roberts, Razionalizability, learning and equilibrium in games with strategic complementaries, Econometrica 58(1990)1255–1277.
P. Milgrom and J. Roberts, Adaptive and sophisticated learning in repeated normal form games, Games Econ. Behavior 3(1991).
D.G. Pearce, Rationalizable strategic behavior and the problem of perfection, Econometrica 52(1984)1029–1050.
T. Tan and S. Werlang, The Bayesian foundations of solution concepts of games, J. Econ. Theory 45(1988)370–391
A. Tversky and D. Kahneman, Rational choice and the framing of decisions, J. Business 59(1986)251–273.
L. Samuelson, Dominated strategies and common knowledge, Games Econ. Behavior 4(1992)284–313.
Author information
Authors and Affiliations
Additional information
This work was supported by KBN Grant No. 210979101.
My thanks are due to Professor J. Łoś for inspiration.
Rights and permissions
About this article
Cite this article
Ambroszkiewicz, S. Knowledge and best responses in games. Ann Oper Res 51, 61–71 (1994). https://doi.org/10.1007/BF02032667
Issue Date:
DOI: https://doi.org/10.1007/BF02032667