Geodesic
Equilibrium and Pareto-optimality in noisy discrete duels with an arbitrary number of actions
Fundamentalʹnaâ i prikladnaâ matematika, Tome 13 (2007) no. 2, pp. 147-155.

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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 $\varepsilon$-equilibrium situations and show that the $\varepsilon$-equilibrium strategies that we found are $\varepsilon$-maxmin. Conditions under which the equilibrium plays are Pareto-optimal are given. 
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L. N. Positselskaya. Equilibrium and Pareto-optimality in noisy discrete duels with an arbitrary number of actions. Fundamentalʹnaâ i prikladnaâ matematika, Tome 13 (2007) no. 2, pp. 147-155. http://geodesic.mathdoc.fr/item/FPM_2007_13_2_a5/

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