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

Francesca Busetto, Giulio Codognato (), Sayantan Ghosal, Ludovic Julien () and Simone Tonin
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Giulio Codognato: EconomiX - EconomiX - UPN - Université Paris Nanterre - CNRS - Centre National de la Recherche Scientifique

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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.

Keywords: Shapley window model; Atoms; Atomless part; Cournot–Nash equilibrium; Optimality (search for similar items in EconPapers)
Date: 2018
Note: View the original document on HAL open archive server: https://hal.science/hal-04141794
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Related works:
Journal Article: Existence and optimality of Cournot–Nash equilibria in a bilateral oligopoly with atoms and an atomless part (2020)
Working Paper: Existence and optimality of Cournot-Nash equilibria in a bilateral oligopoly with atoms and an atomless part (2020)
Working Paper: Existence and Optimality of Cournot-Nash Equilibria in a Bilateral Oligopoly with Atoms and an Atomless Part (2018)
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