Characterization and Detection of ϵ-Berge-Zhukovskii Equilibria.

Lung, Rodica Ioana; Suciu, Mihai; Gaskó, Noémi; Dumitrescu, D · PLoS One · 2015

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Abstract

The Berge-Zhukovskii equilibrium is an alternate solution concept in non-cooperative game theory that formalizes cooperation in a noncooperative setting. In this paper, the ϵ-Berge-Zhukovskii equilibrium is introduced and characterized by using a generative relation. The generative relation also provides a solution to the problem of computing the ϵ-Berge-Zhukovskii equilibrium for large games, by using evolutionary algorithms. Numerical examples illustrate the approach and provide a possible application for this equilibrium concept.

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