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The gambler's ruin problem with n players and asymmetric play

Author

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  • Rocha, Amy L.
  • Stern, Frederick

Abstract

The expected ruin time and the probabilities of ruin are found for the n-player gambler's ruin problem with asymmetric play for certain cases of equal initial fortunes. Independence of the ruin time with which player is ruined is also shown.

Suggested Citation

  • Rocha, Amy L. & Stern, Frederick, 1999. "The gambler's ruin problem with n players and asymmetric play," Statistics & Probability Letters, Elsevier, vol. 44(1), pages 87-95, August.
  • Handle: RePEc:eee:stapro:v:44:y:1999:i:1:p:87-95
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    References listed on IDEAS

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    1. Chang, Derek K., 1995. "A game with four players," Statistics & Probability Letters, Elsevier, vol. 23(2), pages 111-115, May.
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    Cited by:

    1. Anděl, Jiří & Hudecová, Šárka, 2012. "Variance of the game duration in the gambler’s ruin problem," Statistics & Probability Letters, Elsevier, vol. 82(9), pages 1750-1754.

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    1. Anděl, Jiří & Hudecová, Šárka, 2012. "Variance of the game duration in the gambler’s ruin problem," Statistics & Probability Letters, Elsevier, vol. 82(9), pages 1750-1754.

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