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Additive envelopes of continuous functions
Authors:Bruno H. Strulovici
Affiliation:a Department of Economics, Northwestern University, 2001 Sheridan Road, Evanston, IL 60208-2600, United States
b Department of Management Science and Engineering, 442 Terman Engineering Center, Stanford University, Stanford, CA 94305-4026, United States
Abstract:We present an iterative method for constructing additive envelopes of continuous functions on a compact set, with contact at a specified point. For elements of a class of submodular functions we provide closed-form expressions for such additive envelopes.
Keywords:Additive functions   Pareto optimality   Robust optimization   Superposition
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