We provide a theoretical framework to discuss the relation between firm size and vertical structures. The framework is based on a Hotelling model with three downstream and three upstream firms. Each downstream firm procures its input from each upstream firm and the procurement problems affect...

Under a simple Cournot model with vertical relations, when downstream firms engage in process R&D, the profits of upstream firms in which upstream competition exists may be larger than those in which each upstream firm has a bilateral monopoly relation with its buyer (downstream firm).

Under a simple Cournot model with vertical relations, when downstream firms engage in process R&D, the profits of input suppliers for which upstream competition exists may be larger than those in which each input supplier has a bilateral monopoly relation with its buyer (downstream firm). This...

We provide a simple model to investigate decisions about vertical separation. The key feature of this model is that more than one input is required for the final product of the downstream monopolist. We show that as the bargaining powers of independent complementary input suppliers grow larger,...

To consider the role of uncertain production cost resulting from complying with rules of origin (ROO), we formulate a Cournot oligopoly model of a free trade area (FTA). If exporters do not comply with ROO, they must pay an external tariff, and if they comply, they enjoy zero tariff but suffer...

In this paper we evaluate the effects of horizontal mergers in a vertical relationship. Each downstream firm can create autonomous divisions. We show that an infinitesimal merger of downstream firms may exhibit a positive welfare effect if the upstream and downstream sectors are sufficiently...