An Introduction to Sequential Pentuals

Yogesh Agrawal, Faisal Kaleem and David Hare

International Journal of Statistics and Probability, 2020, vol. 9, issue 6, 49

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.

Date: 2020
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