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

  title={Solution to the OK Corral Model via Decoupling of Friedman's Urn},
  author={J. F. C. Kingman and Stanislav Volkov},
  journal={Journal of Theoretical Probability},
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. 
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