An evolutionary algorithmic approach to determine the Nash equilibrium in a duopoly with nonlinearities and constraints
作者:
Highlights:
• The paper presents a novel application of an evolutionary algorithm.
• The paper presents a novel way of determining the Nash equilibrium.
• The approach can be used when analytical or closed-form solutions are not possible.
• It can handle non-linear functions for demand/cost and environmental constraints.
• Results have been validated against solutions obtained analytically.
摘要
•The paper presents a novel application of an evolutionary algorithm.•The paper presents a novel way of determining the Nash equilibrium.•The approach can be used when analytical or closed-form solutions are not possible.•It can handle non-linear functions for demand/cost and environmental constraints.•Results have been validated against solutions obtained analytically.
论文关键词:Nash equilibrium,Evolutionary algorithm,Swarm intelligence,Constrained games,Non-linear payoff functions,NE,Nash Equilibrium,EAA,Evolutionary Algorithmic Approach,BRF,Best Response Function,PR,Promising region,PSO,Particle Swarm Optimization,PSOCP,Particle Swarm Optimization with Composite Particles,GBP,Global Best Position,LBP,Local Best Position
论文评审过程:Received 22 August 2016, Revised 12 December 2016, Accepted 27 December 2016, Available online 28 December 2016, Version of Record 10 January 2017.
论文官网地址:https://doi.org/10.1016/j.eswa.2016.12.037