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arXiv · 2003.01536

A Note on Solving Discretely-Constrained Nash-Cournot Games via Complementarity

Dimitri J. Papageorgiou·Francisco Trespalacios·Stuart Harwood
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Abstract

Discretely-constrained Nash-Cournot games have attracted attention as they arise in various competitive energy production settings in which players must make one or more discrete decisions. Gabriel et al. ["Solving discretely-constrained Nash-Cournot games with an application to power markets." Networks and Spatial Economics 13(3), 2013] claim that the set of equilibria to a discretely-constrained Nash-Cournot game coincides with the set of solutions to a corresponding discretely-constrained mixed complementarity problem. We show that this claim is false.

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Dimitri J. Papageorgiou, Francisco Trespalacios, Stuart Harwood. 2020-02-29. A Note on Solving Discretely-Constrained Nash-Cournot Games via Complementarity. https://doi.org/10.1007/s11067-021-09524-x

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