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Capacity expansion and dynamic monopoly pricing
Authors:S Demichelis  O Tarola  
Institution:aDipartimento di Matematica, Università di Pavia 27100, Pavia, Italy;bUniversità degli Studi di Cassino, Via Marconi 10, Cassino, Frosinone, Italy
Abstract:We substitute to the plant size problem, as investigated by Chenery Chenery, H., 1952. Overcapacity and the acceleration principle. Econometrica], a new version in which a profit-maximizing monopolist may combine its investment policy with a price policy adjusting demand upwards or downwards over time. We characterize the optimal price and investment policies. The optimal price policy determines an investment pattern either with constant increments of capacity over time, or becoming constant after a finite time. The existing capacity is either fully used at each instant between two investment dates; or the monopolist first quotes the instantaneous monopoly price and, thereafter, the price dampening instantaneous demand at the optimal installed capacity level.
Keywords:Dynamic programming  Planning investment  Firm size  Economic behaviour
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