An evolutionary algorithmic approach to determine the Nash equilibrium in a duopoly with nonlinearities and constraints

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• 作者：Malcolm Brady^a ; ^{malcolm.brady@dcu.ie} ; Vamsee Krishna Mamanduru^b ; ^{vamsee.iitkgp2011@gmail.com} ; Manoj Kumar Tiwari^b ; ^{mkt09@hotmail.com}
• 关键词：Nash equilibrium ; Evolutionary algorithm ; Swarm intelligence ; Constrained games ; Non-linear payoff functions
• 刊名：Expert Systems with Applications
• 出版年：2017
• 出版时间：15 May 2017
• 年：2017
• 卷：74
• 期：Complete
• 页码：29-40
• 全文大小：973 K
• 卷排序：74

文摘

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.