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Super Contact and Related Optimality Conditions: A Supplement to AvinashDixits:"A Simplified Exposition of Some Results Concerning Regulated Brownian

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  • Bernard Dumas

Abstract

Dixit (1988) observed that the mathematical construct of "regulated Brownian motion" developed by Harrison (1985) had proved useful in economic models of decision-making under uncertainty. In a recent note he provided a number of methods for calculating expected discounted payoff functions based on such processes. The purpose of this supplement is twofold: -determine to what extent the first-degree conditions reached by Dixit (his equations (12) and (13) or (12') and (13')) are simply a consequence of the definition of the expected discounted payoff, or to what extent they can be interpreted as first order conditions of some optimization problem, as has been suggested in Dumas(1988); -extend Dixit's treatment to the case where there are fixed costs of regulation as 1n Grossman-Laroque (1987).

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  • Bernard Dumas, 1989. "Super Contact and Related Optimality Conditions: A Supplement to AvinashDixits:"A Simplified Exposition of Some Results Concerning Regulated Brownian," NBER Technical Working Papers 0077, National Bureau of Economic Research, Inc.
    • Handle: RePEc:nbr:nberte:0077
    Note: ITI IFM
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    Cited by:

    1. Miller, Marcus & Weller, Paul, 1991. "Exchange Rate Bands with Price Inertia," Economic Journal, Royal Economic Society, vol. 101(409), pages 1380-1399, November.
    2. Buiter, W.H. & Pesenti, P.A., 1990. "Rational Speculation Bubbles In Exchange Rate Target Zone," The Warwick Economics Research Paper Series (TWERPS) 370, University of Warwick, Department of Economics.
    3. Antoine Magnier, 1992. "Théorie des zones cibles et fonctionnement du SME," Économie et Prévision, Programme National Persée, vol. 104(3), pages 87-113.
    4. Michael S. Gibson, 1997. "The bank lending channel of monetary policy transmission: evidence from a model of bank behavior that incorporates long-term customer relationships," International Finance Discussion Papers 584, Board of Governors of the Federal Reserve System (U.S.).

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