Evolutionary Detection of Berge and Nash Equilibria

Gaskó, Noémi; Dumitrescu, D.; Lung, Rodica Ioana

doi:10.1007/978-3-642-24094-2_10

Cited by 9 publications

(3 citation statements)

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“…The first generative relation was introduced for Nash equilibria detection [ 15 ]. A generative relation for the detection of Berge-Zhukovskii equilibrium was introduced in [ 12 ], but without a formal proof.…”

Section: Methodsmentioning

confidence: 99%

“…A connection between the BZ and the Nash equilibrium for several two person games and a method to find the BZ in n -player games is presented in [ 7 ]. To the best of our knowledge the first computational intelligence approach aimed to directly compute the Berge-Zhukovskii equilibrium for large games, based on a generative relation, is described in [ 12 ].…”

Section: Introductionmentioning

confidence: 99%

“…Thus, we may consider also that ϵ -BZ provides the flexibility needed for solving complex, real, games. Moreover, ϵ -BZ is further characterized by using a generative relation in a similar manner with [ 12 ].…”

Section: Introductionmentioning

confidence: 99%

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Characterization and Detection of ϵ-Berge-Zhukovskii Equilibria

et al. 2015

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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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Section: Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%