# Cournot model with piecewise inverse demand

Do you know if there exist results for Cournot oligopoly (or duopoly) when the inverse demand is a piecewise continuous? Something of this type

• $P(Q) = \alpha-\beta Q$ (if $0\leq Q<Q'$)
• $P(Q) = \gamma-\delta Q$ (if $Q' \leq Q \leq Q_{max}$)
• What exactly do you mean by 'results'? Results as in published academic papers? Mar 31 '17 at 8:23