Price-setting mixed triopolies

We will consider two models describing certain market structures: (i) a domestic market in which a public firm (whose objective is to maximize social welfare) competes with two private firms (whose objective is to maximize their own profits); and (ii) an international market in which a domestic public firm competes with one domestic private firm and one foreign private firm. In both situations, firms decide simultaneously the price for their substitutable goods. The main purpose of the paper is to present and to compare the equilibrium outcomes of the two triopoly models.