In this paper we solve a dynamic multilocation problem. Time is continuous, and demands can grow at varying rates in different markets and at different times. There are economies of scale in building plant capacity. To solve such a problem conditional on a prescribed sequence, we show how to use...

This paper examines the strategic rivalry in a duopoly where firms must correctly time the construction of the first plant in a growing market. We explicitly model rivalry for market share. Firms recognize the effect of the rival's actions on their profits; they behave noncooperatively to...