Preprints, Working Papers, ... Year : 2018

Existence and Optimality of Cournot-Nash Equilibria in a Bilateral Oligopoly with Atoms and an Atomless Part

Francesca Busetto
  • Function : Author
Giulio Codognato
  • Function : Author
  • PersonId : 991187
Sayantan Ghosal
  • Function : Author
Ludovic A. Julien
  • Function : Author
  • PersonId : 1020989
Simone Tonin
  • Function : Author

Abstract

We consider a bilateral oligopoly version of the Shapley window model with large traders, represented as atoms, and small traders, represented by an atomless part. For this model, we provide a general existence proof of a Cournot-Nash equilibrium that allows one of the two commodities to be held only by atoms. Then, we show, using a corollary proved by Shitovitz (1973), that a Cournot-Nash allocation is Pareto optimal if and only if it is a Walras allocation.

Fichier principal
Vignette du fichier
WP_EcoX_2018-10.pdf (495.41 Ko) Télécharger le fichier
Origin Files produced by the author(s)
Licence

Dates and versions

hal-04141794 , version 1 (26-06-2023)

Licence

Identifiers

  • HAL Id : hal-04141794 , version 1

Cite

Francesca Busetto, Giulio Codognato, Sayantan Ghosal, Ludovic A. Julien, Simone Tonin. Existence and Optimality of Cournot-Nash Equilibria in a Bilateral Oligopoly with Atoms and an Atomless Part. 2018. ⟨hal-04141794⟩
99 View
125 Download

Share

  • More