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Asymptotic properties of discrete duels

Published online by Cambridge University Press:  14 July 2016

George Kimeldorf  and
John Patrick Lang
George Kimeldorf
Affiliation:
University of Texas at Dallas
John Patrick Lang
Affiliation:
Old Dominion University, Norfolk, Virginia
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Abstract

For fixed accuracy functions, let Gnm be a discrete-fire (silent, noisy, or silent-noisy) duel in which the amounts of ammunition available to the two players are n and m, respectively. As n and m both become large, a class of ‘ε -optimal' pure strategies (with support (anm, 1)) is derived. If vnm denotes the value of Gnm, the asymptotic relationships among the quantities n, m, vnm, and anm are investigated.

Keywords

DUELSGAMES OF TIMING
Type
Research Papers
Information
Journal of Applied Probability , Volume 15 , Issue 2 , June 1978 , pp. 374 - 383
Copyright
Copyright © Applied Probability Trust 1978 

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