Cournot競爭之區位均衡－－以圓形市場三家廠商為例

SPATIAL COURNOT COMPETITION - THREE FIRMS ON A CIRCULAR MARKET

在廠商空間競爭的議題上，圓形市場且採取數量競爭（Cournot）的方式下， Pal （1998） 得到兩家廠商會呈等距的分布，但是Matsushima （2001） 則推得n家廠商（偶數）時，一組並非等距分布的均衡。本文乃在相同架構下，探討廠商為三家時的區位分布，結果與Pal （1998） 一致，廠商仍呈等距分布。此外，廠商在空間合作的議題上，本文分析三家廠商中的兩家採 Chamorro-Rivas （2000） 中分店方式的合作，而與第三家競爭的問題。結果發現無區位均衡存在。

On spatial competition, Pal (1998) obtains equidistant location of a duopoly in a circular market with Cournot competition. However, Matsushima (2001) extends Pal (1998) to multiple firms (even number) and yields different location distribution. This paper explores the location of three firms under the same structure as Pal (1998). Our result is consistent with Pal (1998). That is, the firms will locate in an equidistant type. In addition, on spatial cooperation, this paper analyzes the location of three firms in which two firms cooperate by a plant proliferation type in competition with the other one. Our result shows that there is no location equilibrium under this setting.