The paper studies a two-stage location-price duopoly game in a disk city with consumer concentration around the city center. When consumers are uniformly distributed over the plane, unconstrained firms locate outside of the city. Consumer concentration, however, induces firms to locate nearer to each other and, when the degree of concentration is sufficiently high, inside of the city. Prices and firm profits decrease in the degree of consumer concentration. We explicitly solve the model for classes of cone-shaped, dome-shaped, and bell-shaped consumer densities. In all cases we identify a loss of welfare due to the strategic effect which causes the firms’ spatial differentiation being too large.

本文研究了消费者集中在市中心周围的磁盘城市中的两阶段位置价格双头垄断博弈。当消费者均匀分布在飞机上时，不受限制的公司就会位于城市之外。然而，消费者集中度会促使企业彼此靠近，并且当集中度足够高时，会促使企业位于城市内部。消费者集中度下降，价格和企业利润下降。我们明确地求解了圆锥形、圆顶形和钟形消费者密度类别的模型。在所有情况下，我们都发现由于战略效应导致企业空间差异过大而造成福利损失。