# Accession Number:

## AD0420514

# Title:

## SOME DISCRETE PROCESSES IN THE THEORY OF STOCHASTIC DUELS,

# Descriptive Note:

# Corporate Author:

## SYSTEM DEVELOPMENT CORP SANTA MONICA CALIF

# Personal Author(s):

# Report Date:

## 1963-08-13

# Pagination or Media Count:

## 28.0

# Abstract:

By limiting the time between rounds to a constant, certain duels in which each side has a fixed kill probability in which strong interactions occur are investigated. The models investigated here are 1 the fundamental one versus one duel in which firing times are fixed and their ratio is a rational number 2 the duel with displacements in which two contestants fire simultaneously at fixed intervals and a near miss causes a contestant to displace and lose a firing turn 3 multiple duels in which two versus one or two versus two fire simultaneously at fixed intervals and 4 the cluster duel in which there are several contestants on each side and firing is simultaneous. In the first three, the probability of a given side winning is obtained. In the last, the probability of m contestants on one side killing v of the n contestants on the other side at a single firing is derived. Author