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Intertemporal Duality: Application to the Theory of the Firm
Keith R. McLaren
Russel J. Cooper
Abstract
This paper analyzes an intertemporal production-investment model of the firm, which includes as a special case the adjustment cost model. Properties of the optimal value function are related to properties of the quasi-profit function. An intertemporal analogue of Hotelling's Lemma is derived, which allows derivation of optimal investment demand equations from knowledge of the optimal value function alone. A simple example illustrates the main results.
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