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Equilibrium and Pareto-optimality in noisy discrete duels with an arbitrary number of actions

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Abstract

We study a nonzero-sum game of two players that is a generalization of the antagonistic noisy duel of discrete type. The game is considered from the point of view of various criteria of optimality. We prove the existence of ε-equilibrium situations and show that the ε-equilibrium strategies that we found are ε-maxmin. Conditions under which the equilibrium plays are Pareto-optimal are given.

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Authors and Affiliations

  1. Moscow State Socio-Humanitary Institute, Moscow, Russia

    L. N. Positselskaya

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  1. L. N. Positselskaya
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Correspondence to L. N. Positselskaya.

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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 13, No. 2, pp. 147–155, 2007.

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Positselskaya, L.N. Equilibrium and Pareto-optimality in noisy discrete duels with an arbitrary number of actions. J Math Sci 154, 223–229 (2008). https://doi.org/10.1007/s10958-008-9161-9

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