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We endow the set of probability measures on a weighted graph with a Monge--Kantorovich metric, induced by a function defined on the set of vertices.
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Cédric Villani · 2003
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S.-N. Chow, W. Huang, Y. Li, and H. Zhou · 2012
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Existence of a solution to an equation arising from the theory of Mean Field Games
W. Gangbo and A. Swiech · 2015
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Metric viscosity solutions of Hamilton–Jacobi equations depending on local slopes
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On the Matrix Monge-Kantorovich Problem
Y. Chen, W. Gangbo, T. T. Georgiou, and A. Tannenbaum · 2017
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Entropy dissipation of Fokker-Planck equations on graphs
S.-N. Chow, W. Li, and H. Zhou · 2017
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J. Maas · 2011
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The master equation and the convergence problem in mean field games
P. Cardaliaguet, F. Delarue, J-M. Lasry, P-L. Lions
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J–F. Mertens, S. Sorin and S. Zamir, Repeated Games (Econometric Society Monographs), Cambridge University Press
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S.-N. Chow, W. Li, and H. Zhou · 2017
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Hamilton-Jacobi Equations on Graph and Applications
Y. Shu · 2017
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