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An Introduction to Sequential Pentuals

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Listed:
  • Yogesh Agrawal
  • Faisal Kaleem
  • David Hare

Abstract

In this paper we introduce the idea of a pentual which is a 5-player extension of the well-known idea of a duel. We find the elimination probabilities of players under the assumption that each player tries to eliminate the strongest survivor at every stage. We focus mainly on the winning probability of the strongest player among the five and show that in many plausible situations this player does not even have a 20% chance of winning the game.

Suggested Citation

  • Yogesh Agrawal & Faisal Kaleem & David Hare, 2020. "An Introduction to Sequential Pentuals," International Journal of Statistics and Probability, Canadian Center of Science and Education, vol. 9(6), pages 1-49, November.
    • Handle: RePEc:ibn:ijspjl:v:9:y:2020:i:6:p:49
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    References listed on IDEAS

    as
    1. David R Hare & Faisal Kaleem, 2019. "Expected Winning Probabilities in Sequential Truels under Uniform Distributions," International Journal of Statistics and Probability, Canadian Center of Science and Education, vol. 8(6), pages 1-82, November.
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      JEL classification:

      • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
      • Z0 - Other Special Topics - - General

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