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• W4310251921 abstract "A New Concept to Study Substitute Structures in Economics and Operations Models In “S-Convexity and Gross Substitutability,” Chen and Li propose a novel concept of S-convex functions defined on continuous spaces, which extends a key concept of M-natural-convex functions in discrete convex analysis. They develop a host of fundamental properties and characterizations of S-convex functions. In a parametric maximization model with a box constraint, they show that the set of optimal solutions is nonincreasing in the parameters if the objective function is S-concave and prove the necessity of S-concavity under some conditions. The monotonicity result finds notable inventory models. Interestingly, the authors show that S-concavity is the correct notion characterizing gross substitutability, an important concept in economics for markets with divisible goods." @default.
• W4310251921 created "2022-11-30" @default.
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• W4310251921 date "2022-11-11" @default.
• W4310251921 modified "2023-09-23" @default.
• W4310251921 title "S-Convexity and Gross Substitutability" @default.
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• W4310251921 doi "https://doi.org/10.1287/opre.2022.2394" @default.
• W4310251921 hasPublicationYear "2022" @default.
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