Skip to main content
Log in

Knowledge and best responses in games

  • Section II Game Theoretic Approaches To Multi-Person Decision Making
  • Published:
Annals of Operations Research Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. 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).

    Google Scholar 

  2. S. Ambroszkiewicz, Mutual knowledge, in:Proc. Int. Symp. on Methodologies of Intelligent Systems, Trondheim, Norway, Lecture Notes in Artificial Intelligence (Springer, 1993).

  3. R.J. Aumann, Agreeing to disagree, Ann. Statist. 4(1976)1236–1239.

    Google Scholar 

  4. D. Bernheim, Rationalizable strategic behavior, Econometrica 52(1984)1007–1028.

    Google Scholar 

  5. D. Bernheim, Axiomatic characterization of tational choice in strategic environments, Scand. J. Econ. 88(1986)473–488.

    Google Scholar 

  6. A. Brandenburger and E. Deckel, Rationalizability and correlated equilibria, Econometrica 55(1987)1391–1402.

    Google Scholar 

  7. J.Y. Halpern and Y.O. Moses, Knowledge and common knowledge in a distributed environment, J. ACM 37(1990)549–587.

    Google Scholar 

  8. P. Milgrom and J. Roberts, Razionalizability, learning and equilibrium in games with strategic complementaries, Econometrica 58(1990)1255–1277.

    Google Scholar 

  9. P. Milgrom and J. Roberts, Adaptive and sophisticated learning in repeated normal form games, Games Econ. Behavior 3(1991).

  10. D.G. Pearce, Rationalizable strategic behavior and the problem of perfection, Econometrica 52(1984)1029–1050.

    Google Scholar 

  11. T. Tan and S. Werlang, The Bayesian foundations of solution concepts of games, J. Econ. Theory 45(1988)370–391

    Google Scholar 

  12. A. Tversky and D. Kahneman, Rational choice and the framing of decisions, J. Business 59(1986)251–273.

    Google Scholar 

  13. L. Samuelson, Dominated strategies and common knowledge, Games Econ. Behavior 4(1992)284–313.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

This work was supported by KBN Grant No. 210979101.

My thanks are due to Professor J. Łoś for inspiration.

Rights and permissions

Reprints 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

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02032667

Keywords

Navigation