ENDOGENOUS TIMING IN A MIXED DUOPOLY AND PRIVATE DUOPOLY –‘CAPACITY‐THEN‐QUANTITY’ GAME: THE LINEAR DEMAND CASE*

Abstract

We consider a game of endogenous timing of sequential choice of capacity and quantity with observable delay in a mixed duopoly and a private duopoly. In mixed duopoly, we find that a simultaneous play at the capacity stage or at the quantity stage can never be supported as subgame perfect Nash equilibrium (SPNE); whereas a simultaneous play at each stage turns out to be the unique SPNE in a private duopoly. In mixed duopoly there is multiplicity of equilibria and all SPNEs require sequentiality at the capacity as well as quantity stage.