Geodesic
Equilibrium and Pareto-optimality in noisy non-zero sum discrete duel
Fundamentalʹnaâ i prikladnaâ matematika, Tome 8 (2002) no. 4, pp. 1111-1128 
L. N. Positselskaya. Equilibrium and Pareto-optimality in noisy non-zero sum discrete duel. Fundamentalʹnaâ i prikladnaâ matematika, Tome 8 (2002) no. 4, pp. 1111-1128. http://geodesic.mathdoc.fr/item/FPM_2002_8_4_a12/
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Voir la notice de l'article provenant de la source Math-Net.Ru

We study a non-zero sum game which is a generalization of the antagonistic noisy one-versus-one duel. Equilibrium and $\varepsilon$-equilibrium points are presented in explicit form. It is shown that the $\varepsilon$-equilibrium strategies of both players coincide with their $\varepsilon$-maxmin strategies. We give the conditions under which the equilibrium strategy is a maxmin strategy. Pareto optimal games are investigated.

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