From Nash to Cournot-Nash equilibria via the Monge-Kantorovich problem

The notion of Nash equilibria plays a key role in the analysis of strategic interactions in the framework of $N$ player games. Analysis of Nash equilibria is however a complex issue when the number of players is large. In this article we emphasize the role of optimal transport theory in: 1) the passage from Nash to Cournot-Nash equilibria as the number of players tends to infinity, 2) the analysis of Cournot-Nash equilibria.

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Source https://hal.science/hal-00981500
Author Blanchet, Adrien, Carlier, Guillaume
Maintainer CCSD
Last Updated May 5, 2026, 13:49 (UTC)
Created May 5, 2026, 13:49 (UTC)
Identifier hal-00981500
Language en
Rights https://about.hal.science/hal-authorisation-v1/
contributor Groupe de recherche en économie mathématique et quantitative (GREMAQ) ; Université Toulouse Capitole (UT Capitole) ; Communauté d'universités et établissements de Toulouse (Comue de Toulouse)-Communauté d'universités et établissements de Toulouse (Comue de Toulouse)-Institut National de la Recherche Agronomique (INRA)-École des hautes études en sciences sociales (EHESS)-Centre National de la Recherche Scientifique (CNRS)
creator Blanchet, Adrien
date 2014-04-20T00:00:00
harvest_object_id f229f89f-b69f-43d4-b977-686d09bd9c26
harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2026-01-24T00:00:00
relation info:eu-repo/semantics/altIdentifier/arxiv/1404.5485
set_spec type:UNDEFINED