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A three-player extension of the gambler's ruin problem

Published online by Cambridge University Press:  14 July 2016

V. D. Barnett
V. D. Barnett*
Affiliation:
University of Birmingham
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Extract

The classical two-player gambler's ruin problem is well known and has attracted a great deal of attention in the literature in various forms. Extensions of these two-player problems to three or more players do not appear to have been discussed however, and this paper is concerned with one particular extension of the problem to the case of three players.

Type
Research Papers
Information
Journal of Applied Probability , Volume 1 , Issue 2 , December 1964 , pp. 321 - 334
Copyright
Copyright © Applied Probability Trust 

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References

[1] Barnett, V. D. (1963) Some explicit results for an asymmetric two-dimensional random walk. Proc. Camb. Phil. Soc. 59, 451–462.Google Scholar
[2] Kingman, J. F. C. (1961) The ergodic behaviour of random walks. Biometrika 48, 391–396.Google Scholar