In this paper we introduce product demand uncertainty in a mixed oligopoly model and reexamine the nature of sub-game perfect Nash equilibrium (SPNE) when firms decide in the first stage whether to lead or follow in the subsequent quantity-setting game. In the non-stochastic setting, Pal (1998) demonstrated that when the public firm competes with a domestic private firm, multiple equilibria exist but the efficient equilibrium outcome is for the public firm to follow. Matsumura (2003a) proved that when the public firm's rival is a foreign private firm, leadership of the public firm is both efficient as well as SPN equilibrium. Our stochastic model shows that when the leader must commit to output before the resolution of uncertainty, multiple SPNE is possible. Whether the equilibrium outcome is public or private leadership hinges upon the degree of privatization and market volatility.More importantly, Pareto-inefficient simultaneous production is a likely SPNE. Our results are driven by the fact that the resolution of uncertainty enhances the profits of the follower firm in a manner that is well known in real option theory.
JEL classification: C72, D8, L13.Keywords: Mixed oligopoly; Partial privatization; Demand Uncertainty. * We are grateful to three anonymous referees and the editor for useful comments and suggestions. We also thank Debashis Pal, Kin Chung Lo, Ahmed Saber Mahmud, and seminar participants at York University and 2005 CEA meeting for helpful discussions. The usual disclaimer applies.
In the traditional models of strategic trade policy pioneered by Brander and Spencer, exports of the domestic firm, engaged in a Cournot-Nash competition with the foreign firm in a neutral market, must be subsidized to maximize national welfare. We demonstrate that when the firms play the Cournot-Nash game in two stochastic and positively correlated markets, it may be optimal to tax exports to the more volatile market while subsidizing it in the other. The policy combination reduces the amplitude of aggregate profit and raises the utility of the risk-averse firm in a manner similar to the theory of portfolio choice. JEL Classification: F12, D18Marchés d'exportation co-reliés et politique commerciale stratégique. Dans les modèles traditionnels de politique commerciale stratégique proposés par Brander et Spencer, les exportations de la firme nationale, qui est engagée dans une concurrence à la Cournot-Nash avec une firme étrangère dans un marché neutre, doit être subventionnée si l'on veut maximiser le niveau national de bien-être. On montre que, quand les entreprises jouent un jeu à la Cournot-Nash dans deux marchés d'exportation stochastiques et positivement co-reliés, il peut être optimal de taxer les exportations vers le marché le plus volatile et de subventionner les exportations vers l'autre marché. Cette combinaison de politiques réduit l'amplitude de variation des profits agrégés et augmente l'utilité de l'entreprise qui a une aversion au risque d'une manière qui ressemble à ce qui se passe dans la théorie des choix de portefeuilles.
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