Solution to the OK Corral Model via Decoupling of Friedman's Urn

J. F. C. Kingman () and S. E. Volkov ()

Journal of Theoretical Probability, 2003, vol. 16, issue 1, 267-276

Abstract: Abstract We consider the OK Corral model formulated by Williams and McIlroy(11) and later studied by Kingman.(7) In this paper we refine some of Kingman's results, by showing the connection between this model and Friedman's urn, and using Rubin's construction to decouple the urn. Also we obtain the exact expression for the probability of survival of exactly S gunmen given an initially fair configuration.

Keywords: OK Corral; urn models; coupling; reinforced random walks (search for similar items in EconPapers)
Date: 2003
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Citations: View citations in EconPapers (1)

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DOI: 10.1023/A:1022294908268

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