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Distribution of winners in truel games

AuthorsToral, Raúl ; Amengual, Pau
KeywordsBehavioural sciences
Game theory
Markov processes
Issue Date23-May-2005
PublisherAmerican Institute of Physics
CitationModeling cooperative behavior in the social sciences. AIP Conf. Proc. 779(1): 128-141 (2005)
AbstractIn this work we present a detailed analysis using the Markov chain theory of some versions of the truel game in which three players try to eliminate each other in a series of one-to-one competitions, using the rules of the game. Besides reproducing some known expressions for the winning probability of each player, including the equilibrium points, we give expressions for the actual distribution of winners in a truel competition.
Description14 pages, 10 figures.-- ArXiv pre-print available at: http://arxiv.org/abs/cond-mat/0505388v1
Publisher version (URL)http://dx.doi.org/10.1063/1.2008603
Appears in Collections:(IFISC) Comunicaciones congresos
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