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20212023
most citedStability and chaos of the duopoly model of Kopel: A study based on symbolic computations

1 citations · 1 across the 8 of their papers we have counts for

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8 papers

math.DS2023★ 1 cited

Stability and chaos of the duopoly model of Kopel: A study based on symbolic computations

Xiaoliang Li, Kongyan Chen, Wei Niu +1

Since Kopel's duopoly model was proposed about three decades ago, there are almost no analytical results on the equilibria and their stability in the asymmetric case. The first obj…

econ.TH2023

Equilibria and their stability in an asymmetric duopoly model of Kopel

Xiaoliang Li, Kongyan Chen

In this paper, we investigate the equilibria and their stability in an asymmetric duopoly model of Kopel by using several tools based on symbolic computations. We explore the possi…

econ.TH2023

Complex dynamics of knowledgeable monopoly models with gradient mechanisms

Xiaoliang Li, Jiacheng Fu, Wei Niu

In this paper, we explore the dynamics of two monopoly models with knowledgeable players. The first model was initially introduced by Naimzada and Ricchiuti, while the second one i…

econ.TH2023

A Bertrand duopoly game with differentiated products reconsidered

Xiaoliang Li, Bo Li

In this paper, we explore a dynamic Bertrand duopoly game with differentiated products, where firms are boundedly rational and consumers are assumed to possess an underlying CES ut…

econ.TH2022

Influence of rationality levels on dynamics of heterogeneous Cournot duopolists with quadratic costs

Xiaoliang Li, Yihuo Jiang

This paper is intended to investigate the dynamics of heterogeneous Cournot duopoly games, where the first players adopt identical gradient adjustment mechanisms but the second pla…

econ.TH2022

Cournot duopoly games with isoelastic demands and diseconomies of scale

Xiaoliang Li

In this discussion draft, we investigate five different models of duopoly games, where the market is assumed to have an isoelastic demand function. Moreover, quadratic cost functio…

econ.TH2021

Stability analysis of heterogeneous oligopoly games of increasing players with quadratic costs

Xiaoliang Li

In this discussion draft, we explore heterogeneous oligopoly games of increasing players with quadratic costs, where the market is supposed to have the isoelastic demand. For each…

cs.SC2021

Stability of Cournot duopoly games with isoelastic demands and quadratic costs

Xiaoliang Li, Li Su

In this discussion draft, we explore different duopoly games of players with quadratic costs, where the market is supposed to have the isoelastic demand. Different from the usual a…