Abstract
For a certain class of elementary functions, which comprise a generalization of the class of min-type functions, we apply techniques from abstract convex analysis to obtain various characterizations of the maximal elements of the support sets of sub-topical functions. As an application, using this class of elementary functions, we characterize the global maximizers of the difference of two strictly sub-topical functions. These results have many applications in various areas of applied mathematics, mathematical economics, and game theory.
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