Stability of Cournot duopoly games with isoelastic demands and quadratic costs

12/11/2021
by   Xiaoliang Li, et al.
0

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 approaches based on numerical computations, the methods used in the present work are built on symbolic computations, which can produce analytical and rigorous results. Our investigations show that the stability regions are enlarged for the games considered in this work compared to their counterparts with linear costs, which generalizes the classical results of "F. M. Fisher. The stability of the Cournot oligopoly solution: The effects of speeds of adjustment and increasing marginal costs. The Review of Economic Studies, 28(2):125–135, 1961.".

READ FULL TEXT

page 1

page 2

page 3

page 4

research
12/24/2021

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

In this discussion draft, we explore heterogeneous oligopoly games of in...
research
12/11/2021

Analysis of stability and bifurcation for two heterogeneous triopoly games with the isoelastic demand

In this paper, we investigate two heterogeneous triopoly games where the...
research
12/14/2022

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

This paper is intended to investigate the dynamics of heterogeneous Cour...
research
07/14/2020

Disturbance Decoupling for Gradient-based Multi-Agent Learning with Quadratic Costs

Motivated by applications of multi-agent learning in noisy environments,...
research
07/24/2009

The Cost of Stability in Coalitional Games

A key question in cooperative game theory is that of coalitional stabili...
research
05/27/2019

Capacity Games with Supply Function Competition

This paper studies a setting in which multiple suppliers compete for a b...
research
06/11/2020

Deep Differential System Stability – Learning advanced computations from examples

Can advanced mathematical computations be learned from examples? Using t...

Please sign up or login with your details

Forgot password? Click here to reset