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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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Paper provided by National Bureau of Economic Research, Inc in its series NBER Technical Working Papers with number 0077.

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Date of creation: Apr 1989
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Handle: RePEc:nbr:nberte:0077

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