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In this thesis we explore some uses of optimal control and mass transport in economic modeling. We thus catch the opportunity to bring together some works involving both tools, sometimes mixing them. First, we briefly present the recent mean field games theory introduced by Lasry & Lions and...
Persistent link: https://www.econbiz.de/10011074641
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...
Persistent link: https://www.econbiz.de/10010899690
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...
Persistent link: https://www.econbiz.de/10010934786
This article is devoted to various methods (optimal transport, fixed-point, ordi- nary differential equations) to obtain existence and/or uniqueness of Cournot-Nash equilibria for games with a continuum of players with both attractive and repulsive effects. We mainly address separable situations...
Persistent link: https://www.econbiz.de/10010775971
Persistent link: https://www.econbiz.de/10011448344
Persistent link: https://www.econbiz.de/10012265638