  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.
