Optimal Transport and Cournot-Nash Equilibria

DOI10.1287/moor.2015.0719zbMath1347.91047arXiv1206.6571OpenAlexW1665329352MaRDI QIDQ2800367

Adrien Blanchet, Guillaume Carlier

Publication date: 15 April 2016

Published in: Mathematics of Operations Research (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.6571

zbMATH Keywords

externalitiesoptimal transportMonge-Ampère equationsmean field gamesCournot-Nash equilibriaconvexity along generalised geodesics

Mathematics Subject Classification ID

Special types of economic equilibria (91B52) Differential games and control (49N70) Differential games (aspects of game theory) (91A23) Games with infinitely many players (91A07) Duality theory (optimization) (49N15)

Related Items (19)

Dealing with moment measures via entropy and optimal transport ⋮ Entropic Approximation of Wasserstein Gradient Flows ⋮ Solving multispecies population games in continuous space and time ⋮ Variational problems involving unequal dimensional optimal transport ⋮ Large-scale dynamics of mean-field games driven by local Nash equilibria ⋮ Transport type metrics on the space of probability measures involving singular base measures ⋮ Dynamic Cournot-Nash equilibrium: the non-potential case ⋮ Remarks on existence and uniqueness of Cournot-Nash equilibria in the non-potential case ⋮ A non-exponential extension of Sanov’s theorem via convex duality ⋮ A Harnack inequality for the Jordan-Kinderlehrer-Otto scheme ⋮ Computation of Cournot-Nash equilibria by entropic regularization ⋮ Population games and discrete optimal transport ⋮ Convergence of Entropic Schemes for Optimal Transport and Gradient Flows ⋮ Evolution of the distribution of wealth in an economic environment driven by local Nash equilibria ⋮ Discretization of functionals involving the Monge-Ampère operator ⋮ Extended Laplace principle for empirical measures of a Markov chain ⋮ Rare Nash Equilibria and the Price of Anarchy in Large Static Games ⋮ Cournot--Nash Equilibrium and Optimal Transport in a Dynamic Setting ⋮ Population games with instantaneous behavior and the Rosenzweig-MacArthur model

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