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Article type: Research Article
Authors: Li, Changbing; * | Cao, Huiying | Du, Maokang
Affiliations: Key Laboratory of Electronic Commerce and Logistics, Chongqing University of Posts and Telecommunications, Chongqing, China
Correspondence: [*] Corresponding author: Changbing Li, Key Laboratory of Electronic Commerce and Logistics, Chongqing University of Posts and Telecommunications, Chongqing, China. E-mail: lcbss@126.com
Abstract: Nash equilibrium constitutes a central solution concept in game theory. In this paper, a Nash equilibrium of a finite n-person non-cooperative game can be formulated to an non-linear optimal solution of the optimization model with zero optimal value. This paper investigates the effectiveness of differential evolutionary optimization to compute Nash equilibrium of non-cooperative n-person games, as global minimum of a real-valued function. The experiments demonstrate the feasibility of this approach for finding an equilibrium of an N-person game.
Keywords: Nash equilibrium, n-person matrix game, nonlinear constrained optimization, differential evolutionary algorithm
DOI: 10.3233/IDT-140189
Journal: Intelligent Decision Technologies, vol. 8, no. 3, pp. 207-213, 2014
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