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Pré-Publication, Document De Travail Année : 2014

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

Résumé

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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Dates et versions

hal-00981500 , version 1 (22-04-2014)

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Adrien Blanchet, Guillaume Carlier. From Nash to Cournot-Nash equilibria via the Monge-Kantorovich problem. 2014. ⟨hal-00981500⟩
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