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Technical Note—An Application of Martingale Methods to Conflict Models

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  • R. K. Watson

    (University of Melbourne, Parkville, Australia)

Abstract

We consider a model of a conflict between two forces in which members of each force are killed at a rate proportional to the number of surviving members of the other force. By constructing a martingale and applying the martingale central limit theorem, we are able to obtain approximations for the probability of winning and the distribution of the number of survivors. We note that the method can be extended to more general conflict models.

Suggested Citation

  • R. K. Watson, 1976. "Technical Note—An Application of Martingale Methods to Conflict Models," Operations Research, INFORMS, vol. 24(2), pages 380-382, April.
    • Handle: RePEc:inm:oropre:v:24:y:1976:i:2:p:380-382
    DOI: 10.1287/opre.24.2.380
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    Cited by:

    1. C. J. Ancker & A. V. Gafarian, 1987. "The validity of assumptions underlying current uses of Lanchester attrition rates," Naval Research Logistics (NRL), John Wiley & Sons, vol. 34(4), pages 505-533, August.

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