Document Type

Article

Publication Date

6-2015

Department

Computer Science; Mathematics

Abstract

We consider a one-dimensional version of the board game RISK and discuss the problem of how a defending player might choose to distribute his armies along a chain of territories in order to maximize the probability of survival. In particular, we analyze a Markov chain model of this situation and run computer simulations in order to make conjectures as to the optimal strategies. The latter sections of the paper analyze this strategy rigorously and use results on recurrence relations and probability theory in order to prove a related result.

Required Publisher's Statement

Original version is available from the publisher at: http://www.maa.org/press/periodicals/mathematics-magazine/mathematics-magazine-june-2015

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