Title: Adaptive artificial chemistry for Nash equilibria approximation

Authors: Rodica Ioana Lung

Addresses: Centre for the Study of Complexity, Babe? Bolyai University, Cluj Napoca, Romania

Abstract: A simple artificial chemistry model designed for computing Nash equilibria of continuous games, called adaptive artificial chemistry for Nash equilibria is presented. This method mimics elementary chemical reactions between molecules representing strategy profiles of a non-cooperative game while using a generative relation for Nash equilibria in order to direct the search towards the equilibrium. Experimental results - indicating the potential of the proposed method - are performed on Cournot oligopolies for up to 1,000 players.

Keywords: Cournot oligopoly; Nash equilibrium; artificial chemistry.

DOI: 10.1504/IJCISTUDIES.2018.094892

International Journal of Computational Intelligence Studies, 2018 Vol.7 No.2, pp.93 - 102

Received: 22 Mar 2017
Accepted: 08 Aug 2017

Published online: 13 Sep 2018 *

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