Characterization and Detection of epsilon-Berge Zhukovskii Equilibria
No\'emi Gask\'o, Mihai Suciu, Rodica Ioana Lung, D. Dumitrescu
TL;DR
This paper introduces the epsilon-Berge-Zhukovskii equilibrium in non-cooperative game theory, characterizes it with a generative relation, and develops an evolutionary algorithm for its detection, supported by numerical examples.
Contribution
It presents the first formal definition and characterization of epsilon-Berge-Zhukovskii equilibrium and proposes a novel evolutionary method for its detection.
Findings
The epsilon-Berge-Zhukovskii equilibrium can be effectively characterized using a generative relation.
An evolutionary multiobjective optimization algorithm successfully detects epsilon-Berge-Zhukovskii equilibria.
Numerical examples demonstrate the applicability and effectiveness of the proposed method.
Abstract
Berge equilibrium in the sense of Zhukovskii (Berge-Zhukovskii) is an alternate solution concept in non-cooperative game theory that formalizes cooperation in a noncooperative setting. In this paper the epsilon-Berge-Zhukovskii equilibrium is introduced and characterized by using a generative relation. A computational method for detecting epsilon-Berge-Zhukovskii equilibrium based on evolutionary multiobjective optimization algorithms is presented. Numerical examples are used to illustrate the results obtained.
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Taxonomy
TopicsAdvanced Control Systems Optimization