THE INVERSE PROBLEM IN CONVEX OPTIMIZATION WITH LINEAR CONSTRAINTS

被引：2

作者：

Aloqeili, Marwan ^{[1
]}

机构：

[1] Birzeit Univ, Dept Math, POB 14, Birzeit, Palestine

来源：

ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS | 2017年 / 23卷 / 01期

关键词：

Inverse problem; multi-constraint maximization; value function; Slutsky relations;

D O I：

10.1051/cocv/2015040

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we solve an inverse problem arising in convex optimization. We consider a maximization problem under m linear constraints. We characterize the solutions of this kind of problems. More precisely, we give necessary and sufficient conditions for a given function in R-n to be the solution of a multi-constraint maximization problem. The conditions we give here extend well-known results in microeconomic theory.

引用

页码：71 / 94

页数：24

共 10 条

[1] The generalized Slutsky relations [J].

Aloqeili, M .

JOURNAL OF MATHEMATICAL ECONOMICS, 2004, 40 (1-2) :71-91

[2]

Aloqeili M., 2000, THESIS

[3] Characterizing demand functions with price dependent income [J].

Aloqeili, Marwan .

MATHEMATICS AND FINANCIAL ECONOMICS, 2014, 8 (02) :135-151

[4]

Bryant R.L., 1991, EXTERIOR DIFFERENTIA, DOI [10.1007/978-1-4613-9714-4, DOI 10.1007/978-1-4613-9714-4]

[5] The micro economics of group behavior: General characterization [J].

Chiappori, P. A. ;

Ekeland, I. .

JOURNAL OF ECONOMIC THEORY, 2006, 130 (01) :1-26

[6]

Chiappori P.A., EXTERIOR DIFFERENTIA

[7]

Chiappori PA, 2010, EC MATH AGGREGATION

[8]

Ekeland I., 2016, ANN I H POINCARE NON, V23, P269

[9]

Ekeland I., 2002, METHODS APPL ANAL, V9, P329

[10] GENERALIZED DUALITY AND INTEGRABILITY [J].

EPSTEIN, LG .

ECONOMETRICA, 1981, 49 (03) :655-678

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