CONTROL OF JULIA SETS OF COURNOT-BERTRAND DUOPOLY GAME MODEL

Cournot-Bertrand duopoly game model is a very important model in the economic field. Based on the idea of feedback control, three controllers are designed to control Julia sets of Cournot-Bertrand duopoly game model in this study. The first method is the feedback control by use of the fixed point, the second is based on feedback control and cumulative error and the third is designed based on the feedback control and difference. The efficacy of three control methods is illustrated in simulations.

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Publication Details

Journal
Journal of Applied Analysis & Computation
Published
2025-01-01
DOI
https://doi.org/10.11948/20240489
Primary Topic
Merger and Competition Analysis
Type
article
Field-Weighted Citation Impact
0.00
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article

CONTROL OF JULIA SETS OF COURNOT-BERTRAND DUOPOLY GAME MODEL

Weihua Sun, Haibo Luo
Journal of Applied Analysis & Computation
Merger and Competition Analysis
article

CONTROL OF JULIA SETS OF COURNOT-BERTRAND DUOPOLY GAME MODEL

Weihua Sun, Haibo Luo
article en

Abstract

Cournot-Bertrand duopoly game model is a very important model in the economic field. Based on the idea of feedback control, three controllers are designed to control Julia sets of Cournot-Bertrand duopoly game model in this study. The first method is the feedback control by use of the fixed point, the second is based on feedback control and cumulative error and the third is designed based on the feedback control and difference. The efficacy of three control methods is illustrated in simulations.

Journal of Applied Analysis & ComputationVol. 15(4)
Openalex Percentile: Top 79%
Merger and Competition Analysis
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CONTROL OF JULIA SETS OF COURNOT-BERTRAND DUOPOLY GAME MODEL — Weihua Sun, Haibo Luo · Journal of Applied Analysis & Computation (2025) | TGRS Research Map | TGRS