凸性
数理经济学
单调函数
陈
正多边形
数学
凹函数
最大化
约束(计算机辅助设计)
参数统计
凸分析
功能(生物学)
经济
数学优化
凸优化
财务
进化生物学
生物
统计
数学分析
古生物学
几何学
出处
期刊:Operations Research
[Institute for Operations Research and the Management Sciences]
日期:2022-11-11
标识
DOI:10.1287/opre.2022.2394
摘要
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.
科研通智能强力驱动
Strongly Powered by AbleSci AI