Nonantagonistic noisy duels of discrete type with an arbitrary number of actions

Details Nonantagonistic noisy duels of discrete type with an arbitrary number of actions Nonantagonistic noisy duels of discrete type with an arbitrary number of actions

2007-08-15

arxiv.org/abs/0708.2023v2

Mathematics

Optimization and Control

LaTeX 2e, 22 pages; replaced to correct TeXnical mistakes and typos

Scientific paper

We study a nonzero-sum game of two players which is a generalization of the antagonistic noisy duel of discrete type. The game is considered from the point of view of various criterions of optimality. We prove existence of epsilon-equilibrium situations and show that the epsilon-equilibrium strategies that we have found are epsilon-maxmin. Conditions under which the equilibrium plays are Pareto-optimal are given. Keywords: noisy duel, payoff function, strategy, equilibrium situation, Pareto optimality, the value of a game.

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