Cournot-Nash equilibria and optimal transport

old_uid11469
titleCournot-Nash equilibria and optimal transport
start_date2012/06/01
schedule15h45
onlineno
location_infosalle 0D04
detailsSéance commune avec le groupe de travail  "Humaniste" organise par Simona Mancini (MAPMO, Orléans), Laurent Boudin  et Olivier Guéant (LJLL, UPMC).
summaryFor a class of non-atomic games, we prove, by optimal transport techniques, various existence and uniqueness results and give a variational characterization for Cournot-Nash equilibria. For a wide class of payoffs, minimizers of some cost are Cournot-Nash equilibria. 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.
responsiblesBerestycki, Nadal