A variational problem determined by probability measures |
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Authors: | Zvi Artstein |
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Affiliation: | 1. Department of Mathematics, The Weizmann Institute of Science, Rehovot, Israelzvi.artstein@weizmann.ac.il |
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Abstract: | ABSTRACTAn optimization problem of maximizing an integral of a function over a family of probability measures is considered. The problem is a generalization of a well-studied variational problem in mathematical economics, concerning optimal allocations. The specific generalization that we examine arises also in the limit of singularly perturbed optimal control problems. We examine the mathematical problem and allude to the singular perturbation motivation. |
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Keywords: | Optimal allocations singular perturbation limit optimal measures |
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