A mixed game of timing involving (p+n)×1 actions

Radzik, Tadeusz; Orłowski, Krzysztof

doi:10.4064/am-15-3-293-313

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Introduction and Problem Formulation1

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1991

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“…And Styszynski (1974) solved the duel with arbitrary accuracy functions in which player I has a silent gun with m bullets and player II has a noisy gun with one bullet. Further researches in this context have been done by Styszynski (1975) and by Radzik and Orlowski (1976).…”

Section: Introduction and Problem Formulationmentioning

confidence: 99%

On a duel with time lag and arbitrary accuracy functions

Kurisu

1991

Int J Game Theory

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This paper deals with a two-person zero-sum game called duel with the following structure: Each of two players I and II has a gun with one bullet and he can fire his bullet at any time in [0, 1], aiming at his opponent. If I or II fires at time x, he hits his opponent with probability p (x) or q(x), rcspcctively. The gun of I is silent, and hence, II does not know whether his opponent has fired or not, and the gun of II is noisy with time lag t, where t is a positive constant, i.e., if II fires at time x then I knows it at time x + t. Further, if I hits II without being hit himself before, the payoff is 1; if I is hit by II without hitting IT before, the payoff is -1; if they hit each other at the same time or both survive, the payoff is 0. This paper gives optimal strategy for each player and the value of the game.

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Section: Introduction and Problem Formulationmentioning

confidence: 99%

On a duel with time lag and arbitrary accuracy functions

Kurisu

1991

Int J Game Theory

View full text Add to dashboard Cite

show abstract

A mixed game of timing involving (p+n)×1 actions

Cited by 1 publication

References 0 publications

On a duel with time lag and arbitrary accuracy functions

On a duel with time lag and arbitrary accuracy functions

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