Optimal transport and Cournot-Nash equilibria
AbstractWe 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 relevant cases. This enables us to obtain new uniqueness results and a characterisation of equilibria in terms of some partial differential equations, a simple numerical scheme in dimension one as well as an analysis of the inefficiency of equilibria.
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Date of creation: 25 Jun 2012
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Cournot-Nash equilibria ; mean-field games ; optimal transport ; externalities ; Monge-Amp\ère equations ; convexity along generalised geodesics;
Other versions of this item:
- NEP-ALL-2012-07-08 (All new papers)
- NEP-GTH-2012-07-08 (Game Theory)
- NEP-TRE-2012-07-08 (Transport Economics)
- NEP-URE-2012-07-08 (Urban & Real Estate Economics)
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- HART, Sergiu & HILDENBRAND, Werner & KOHLBERG, Elon, .
"On equilibrium allocations as distributions on the commodity space,"
CORE Discussion Papers RP
-183, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Hart, Sergiu & Hildenbrand, Werner & Kohlberg, Elon, 1974. "On equilibrium allocations as distributions on the commodity space," Journal of Mathematical Economics, Elsevier, vol. 1(2), pages 159-166, August.
- Konishi, Hideo & Le Breton, Michel & Weber, Shlomo, 1997. "Pure Strategy Nash Equilibrium in a Group Formation Game with Positive Externalities," Games and Economic Behavior, Elsevier, vol. 21(1-2), pages 161-182, October.
- Monderer, Dov & Shapley, Lloyd S., 1996. "Potential Games," Games and Economic Behavior, Elsevier, vol. 14(1), pages 124-143, May.
- Figalli, Alessio & Kim, Young-Heon & McCann, Robert J., 2011. "When is multidimensional screening a convex program?," Journal of Economic Theory, Elsevier, vol. 146(2), pages 454-478, March.
- Pierre-André Chiappori & Robert McCann & Lars Nesheim, 2010.
"Hedonic price equilibria, stable matching, and optimal transport: equivalence, topology, and uniqueness,"
Springer, vol. 42(2), pages 317-354, February.
- Pierre-Andre Chiappori & Robert McCann & Lars Nesheim, 2007. "Hedonic price equilibria, stable matching, and optimal transport: equivalence, topology, and uniqueness," CeMMAP working papers CWP23/07, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
- Pierre Degond & Jian-Guo Liu & Christian Ringhofer, 2014. "Evolution of wealth in a nonconservative economy driven by local Nash equilibria," Papers 1403.7800, arXiv.org.
- Pierre Degond & Jian-Guo Liu & Christian Ringhofer, 2014. "Evolution of wealth in a nonconservative economy driven by local Nash equilibria," Working Papers hal-00967662, HAL.
- Pierre Degond & Jian-Guo Liu & Christian Ringhofer, 2013. "Evolution of the distribution of wealth in an economic environment driven by local Nash equilibria," Papers 1307.1685, arXiv.org.
- Blanchet, Adrien & Carlier, Guillaume, 2014. "Remarks on existence and uniqueness of Cournot-Nash equilibria in the non-potential case," TSE Working Papers 14-491, Toulouse School of Economics (TSE).
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