Optimal transport and Cournot-Nash equilibria
Blanchet, Adrien; Carlier, Guillaume (2016), Optimal transport and Cournot-Nash equilibria, Mathematics of Operations Research, 41, 3, p. 125-145. 10.1287/moor.2015.0719
TypeArticle accepté pour publication ou publié
External document linkhttps://arxiv.org/abs/1206.6571v1
Journal nameMathematics of Operations Research
Institute of Management Sciences
MetadataShow full item record
Abstract (EN)We study a class of games with a continuum of players for which Cournot-Nash equilibria can be obtained by the minimisation of some cost, related to optimal transport. This cost is not convex in the usual sense in general but it turns out to have hidden strict convexity properties in many relevant cases. This enables us to obtain new uniqueness results and a characterisation of equilibria in terms of some partial differential equations, a simple numerical scheme in dimension one as well as an analysis of the inefficiency of equilibria.
Subjects / Keywordsconvexity along generalised geodesics; Monge-Ampère equations; externalities; Cournot-Nash equilibria; optimal transport; mean-field games
Showing items related by title and author.