Super Contact and Related Optimality Conditions: A Supplement to AvinashDixits /

Dumas, Bernard.

Super Contact and Related Optimality Conditions: A Supplement to AvinashDixits / Bernard Dumas. - Cambridge, Mass. National Bureau of Economic Research 1989. - 1 online resource: illustrations (black and white); - NBER technical working paper series no. t0077 . - Technical Working Paper Series (National Bureau of Economic Research) no. t0077. .

April 1989.

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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