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Journal of Optimization Theory and Applications

, Volume 87, Issue 3, pp 539–552 | Cite as

Teraoka-type two-person nonzero-sum silent duel

  • V. J. Baston
  • A. Y. Garnaev
Contributed Papers

Abstract

The paper discusses a silent nonzero-sum duel between two players each of whom has a single bullet. The duel is terminated at a random time in [0, 1] given by a cumulative distribution function. It is shown that the game has a unique Nash equilibrium under a wide range of possible payoff values for simultaneous firing. This contrasts with a very similar game considered by Teraoka for which there are many Nash equilibria.

Key Words

Nonzero-sum games Nash equilibria games of timing silent duels 

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Copyright information

© Plenum Publishing Corporation 1995

Authors and Affiliations

  • V. J. Baston
    • 1
  • A. Y. Garnaev
    • 2
  1. 1.Department of MathematicsUniversity of SouthamptonSouthamptonEngland
  2. 2.Department of Computational MathematicsCivil Engineering InstituteSaint PetersburgRussia

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