A silent nversus 1 bullet duel with retreat after the shots

Abstract

This paper is concerned with silent duel in which the first player has nbullets and the second one-one bullet. The accuracy functions are the same. It is assumed that each player removes to the back after firing all his bullets. The situation when players have different speeds are considered as well as that in which the speeds are the same. In both situations the optimal strategies are determined and the value of the game is found.

Keywords:

• Games of timing
• silent duels
• mixed strategies

AMS 1980 Subject Classification:

• Primary:90 D 05
• Secondary:49 A 45