Abstract
Infinite Sequential Truels are studied in the case when the players' duel values are preassigned parameters, rather than functions of the marksmanships. Such truels divide naturally into two classes, one of which includes all Infinite Sequential Truels investigated previously. All equilibrium points of all truels are determined. It is discovered that some truels possess one or several of four equilibrium points never before observed, and that others may possess no equilibrium points at all (in stationary strategies).
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References
Gardner, M.: New Mathematical Puzzles and Diversions. London 1966, 42–49.
Kilgour, D.M.: The Sequential Truel, Int. J. Game Theory4, 1975, 151–174.
Shapley, L.S.: Stochastic Games, Proc. N.A.S.39 (11), 1953, 1095–1100.
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The research reported herein was supported by Grant No. A8974 of the National Research Council of Canada and by a Wilfrid Laurier University Summer Research Fellowship.
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Kilgour, D.M. Equilibrium points of Infinite Sequential Truels. Int J Game Theory 6, 167–180 (1977). https://doi.org/10.1007/BF01774660
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DOI: https://doi.org/10.1007/BF01774660