Skip to main content
Log in

Equilibria of a two-person non-zerosum noisy game of timing

  • Published:
International Journal of Game Theory Aims and scope Submit manuscript

Abstract

Necessary and sufficient conditions are obtained for the existence of an equilibrium point (as well as for the existence of a dominating equilibrium point) in a two-person non-zerosum game of timing.

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

  • Blackwell, D.: The silent duel, one bullet each, arbitrary accuracy. The RAND Corporation, RM-302, 1948.

  • -: The noisy duel, one bullet each, arbitrary, non-monotone accuracy. The RAND Corporation, D-442, 1949.

  • Blackwell, D., andM.A. Girshick: Theory of Games and Statistical Decisions. New York 1954.

  • Fox, M., andG.S. Kimeldorf: Noisy Duels. SIAM J. Appl. Math.17, 1969, 353–361.

    Google Scholar 

  • Glicksberg, I.: Noisy duel, one bullet each, with simultaneous fire and unequal worths. The RAND Corporation, RM-474, 1950.

  • Karlin, S.: Mathematical Models and Theory in Games, Programing and Economics. Reading, Mass. 1959.

  • Kilgour, D.M.: Duels, truels, andn-uels. Ph.D. Thesis, University of Toronto, Toronto 1973.

    Google Scholar 

  • -: The non-zerosum noisy duel, I. Circulated manuscript, 1979.

  • Owen, G.: Existence of equilibrium pairs in continuous games. Int. J. Game Theory5 (2/3), 1976, 97–105.

    Google Scholar 

  • SŪdŽiŪté, D.P.: The shapes of the spectra of equilibrium strategies for some non-zerosum two-person games on the unit square. Lith. J. Math.9 (3), 1969, 687–694.

    Google Scholar 

  • —: The existence and shape of equilibrium strategies for some two-person non-zerosum games with the choice of a moment of time. Lith. J. Math.10 (2), 1970, 375–389.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

The first version of this paper was written in September 1979 while the author was a Ph.D. student at the University of Toronto and was revised in January 1981. This research was supported by a Natural Sciences and Engineering Research Council Canada Scholarship. The author is very grateful to Anatol Rapoport and Marc Kilgour for encouragement, suggestions and support, to Martin Osborne and two referees for constructive criticisms and suggestions and to both the Institute for Advanced Studies at the Hebrew University of Jerusalem and Cowles Foundation for Research in Economics at Yale University for providing a stimulating working atmosphere. This research was also partially supported by the Office of Naval Research, Contract Number N00014-77-C-0518.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Pitchik, C. Equilibria of a two-person non-zerosum noisy game of timing. Int J Game Theory 10, 207–221 (1981). https://doi.org/10.1007/BF01755965

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01755965

Keywords

Navigation