Fiche du document
11 décembre 2021
- 2112.05948
Mots-clés
Computer Science - Symbolic Computation Economics - Theoretical Economics Mathematics - Dynamical SystemsSujets proches
Amusements Children--Recreation Games for children Pastimes Primitive games Recreations Games, Primitive Children's gamesCiter ce document
Xiaoliang Li et al., « Stability of Cournot duopoly games with isoelastic demands and quadratic costs », arXiv - économie
Partage / Export
Résumé
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.".