Chaos control on a duopoly game with homogeneous strategy
type: Item
instance of: scholarly article
title: Chaos control on a duopoly game with homogeneous strategy
zbMATH Open document ID: 1422.91161
DOI: 10.1155/2016/7418252
author: Manying Bai
author: Yazhou Gao
published in: Discrete Dynamics in Nature and Society
publication date: 2019-02-20T00:00:00Z
review text: Summary: We study the dynamics of a nonlinear discrete-time duopoly game, where the players have homogenous knowledge on the market demand and decide their outputs based on adaptive expectation. The Nash equilibrium and its local stability are investigated. The numerical simulation results show that the model may exhibit chaotic phenomena. Quasiperiodicity is also found by setting the parameters at specific values. The system can be stabilized to a stable state by using delayed feedback control method. The discussion of control strategy shows that the effect of both firms taking control method is better than that of single firm taking control method.
Mathematics Subject Classification ID: 91A50
Mathematics Subject Classification ID: 91B55
Mathematics Subject Classification ID: 91B54
zbMATH DE Number: 7026901
Wikidata QID: Q59123636
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/7418252
OpenAlex ID: W2461483386
cites work: Q5563225
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description: scientific article; zbMATH DE number 7026901