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Tactical problems involving uncertain actions

  • A. Cegielski
Contributed Papers

Abstract

The purpose of this paper is to solve anm-silent versusn-silent duel with arbitrary accuracy functionsP andQ which are continuously differentiable in [0, 1] with positive derivatives in (0, 1) and such thatP(0)=Q(0)=0,P(1)∈(0, 1),Q(1)∈(0, 1). The game can be interpreted as a game in which the players know only that the numbers of their actions have binomial distribution.

Key Words

Games of timing silent duels optimal strategies 

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References

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    Karlin, S.,Mathematical Methods and Theory in Games, Programming, and Economics, Vol. 2, Addison-Wesley, Reading, Massachusetts, 1959.Google Scholar
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    Cegielski, A.,Game of Timing with Uncertain Number of Shots, Mathematica Japanica, Vol. 31, No. 4, 1986.Google Scholar
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    Teraoka, Y.,Noisy Dual with Uncertain Existence of the Shot, International Journal of Game Theory, Vol. 5, pp. 239–250, 1976.Google Scholar

Copyright information

© Plenum Publishing Corporation 1986

Authors and Affiliations

  • A. Cegielski
    • 1
  1. 1.Institute of MathematicsHigher Engineering CollegeZielona GóraPoland

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