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Article Dans Une Revue Mathematics of Operations Research Année : 2015

Optimal transport and Cournot-Nash equilibria

Résumé

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.
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Dates et versions

hal-00712488 , version 1 (27-06-2012)

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Citer

Adrien Blanchet, Guillaume Carlier. Optimal transport and Cournot-Nash equilibria. Mathematics of Operations Research, 2015, 41 (1), pp.125-145. ⟨10.1287/moor.2015.0719⟩. ⟨hal-00712488⟩
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