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ArticleOriginal scientific text

Title

A mixed duel under arbitrary motion and uncertain existence of the shot

Authors 1

Affiliations

  1. Institute of Mathematics, Technical University of Wrocław, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland

Abstract

The purpose of the paper is to solve a mixed duel in which the numbers of shots given to the players are independent 0-1-valued random variables. The players know their distributions as well as the accuracy function P, the same for both players. It is assumed that the players can move as they like and that the maximal speed of the first player is greater than that of the second player. It is shown that the game has a value, and a pair of optimal strategies is found.

Keywords

ENG
zero-sum game, mixed duel, game of timing

Bibliography

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Applicationes Mathematicae
1993-1995/22/1
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Pages:
39-44
Main language of publication
English
Received
1992-08-05
Published
1993
Exact and natural sciences