Exploring general equilibrium points for Cournot model
type: Item
instance of: scholarly article
title: Exploring general equilibrium points for Cournot model
zbMATH Open document ID: 1422.91467
DOI: 10.1155/2018/7630395
author: Bingyuan Gao
author: Yueping Du
published in: Discrete Dynamics in Nature and Society
publication date: 2019-02-20T00:00:00Z
review text: Summary: In Cournot model, when there are many competitions, the competitive equilibrium becomes chaotic. It is extremely difficult to derive the general equilibrium points. There is no previous research to explore a further problem with the general equilibrium points of n-contenders in Cournot model. In this paper, a general equilibrium Cournot game is proposed based on an inverse demand function. A market spatial structure model is built. Intermediate value theorem, as a realistic method, is introduced to handle a general competitive equilibrium in Cournot model. The number and stability in general equilibrium points are detected by means of celestial motion theory and spatial agglomeration competition model. The existence of general equilibrium points and the stability of Cournot equilibrium points, which are new and future complement of previously known results. Numerical simulations are given to support the research results.
Mathematics Subject Classification ID: 91B54
Mathematics Subject Classification ID: 91A40
Mathematics Subject Classification ID: 91B52
zbMATH DE Number: 7026681
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/7630395
OpenAlex ID: W2887658026
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Wikidata QID: Q129365889
description: scientific article; zbMATH DE number 7026681