Econometrica: May 1970, Volume 38, Issue 3

An Approximate Method for Solving a Continuous Time Allocation Problem

https://doi.org/0012-9682(197005)38:3<473:AAMFSA>2.0.CO;2-X
p. 473-481

Jaromir Abrham

The problem consists in maximizing a concave functional--given as an integral--on a class of functions. A method based on approximating optimal solutions by step functions is suggested; approximations are found by solving concave programming problems of a special type. Some convergence theorems are proved and an estimate of the error in terms of values of the objective functional is given.

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