关于一般偏好映射的集值优化中的高阶最优条件。

IF 1.3 3区数学 Q2 MATHEMATICS, APPLIED

Set-Valued and Variational Analysis Pub Date : 2022-01-01 Epub Date: 2022-01-19 DOI:10.1007/s11228-022-00627-2

Anna Michalak, Marcin Studniarski

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引用次数: 0

摘要

我们提出了福利经济学模型的高阶必要条件，其中偏好映射具有星形属性。我们假设偏好是可满足的，并且可以用任意偏好集来描述，而无需使用效用函数。这些条件是用多值映射的高阶方向导数来表述的，变量支配结构不是由锥形给出的。

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Higher-Order Optimality Conditions in Set-Valued Optimization with Respect to General Preference Mappings.

We present higher order necessary conditions for a model of welfare economics, where the preference mapping has a star-shape property. We assume that the preferences can be satiable and can be described by an arbitrary preference set, without the use of utility functions. These conditions are formulated in terms of higher-order directional derivatives of multivalued mappings, and the variable domination structure is not given by cones.

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来源期刊

Set-Valued and Variational Analysis MATHEMATICS, APPLIED-

CiteScore

2.90

自引率

6.20%

发文量

审稿时长

>12 weeks

期刊介绍： The scope of the journal includes variational analysis and its applications to mathematics, economics, and engineering; set-valued analysis and generalized differential calculus; numerical and computational aspects of set-valued and variational analysis; variational and set-valued techniques in the presence of uncertainty; equilibrium problems; variational principles and calculus of variations; optimal control; viability theory; variational inequalities and variational convergence; fixed points of set-valued mappings; differential, integral, and operator inclusions; methods of variational and set-valued analysis in models of mechanics, systems control, economics, computer vision, finance, and applied sciences. High quality papers dealing with any other theoretical aspect of control and optimization are also considered for publication.