Econometrica: May 1970, Volume 38, Issue 3
An Approximate Method for Solving a Continuous Time Allocation Problem
Jaromir AbrhamThe 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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