Market exchange models and geometric programming

被引：1

作者：

Eisenberg-Nagy, Marianna ^{[1
]}

Illes, Tibor ^{[1
]}

Lovics, Gabor ^{[1
]}

机构：

[1] Budapest Univ Technol & Econ, Inst Math, Budapest, Hungary

来源：

CENTRAL EUROPEAN JOURNAL OF OPERATIONS RESEARCH | 2019年 / 27卷 / 02期

关键词：

Market exchange models; Homogeneous concave utility functions; Geometric programming; Fisher type homogeneous market exchange models; Linear and Cobb-Douglas utility functions; EQUILIBRIUM; ALGORITHMS;

D O I：

10.1007/s10100-018-0582-3

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

Finding the equilibrium solution of the Market Exchange Models is an interesting topic. Here we discuss some relationship of the Fisher type Homogenous Market Exchange Model and the Geometric Programming. We also discuss that the equilibrium solution of the Linear and Cobb-Douglas Market Exchange Model as two special cases of the Homogenous Market Exchange Model can be found by Geometric Programming in polynomial time.

引用

页码：415 / 435

页数：21

共 34 条

[1]

[Anonymous], 1954, ELEMENTS PURE EC THE

[2] EXISTENCE OF AN EQUILIBRIUM FOR A COMPETITIVE ECONOMY [J].

Arrow, Kenneth J. ;

Debreu, Gerard .

ECONOMETRICA, 1954, 22 (03) :265-290

[3]

Csizmadia A, 2018, CENT EUR J OPER RES

[4] New criss-cross type algorithms for linear complementarity problems with sufficient matrices [J].

Csizmadia, Z ;

Illés, T .

OPTIMIZATION METHODS & SOFTWARE, 2006, 21 (02) :247-266

[5]

Csizmadia Z., 2007, THESIS

[6] The s-monotone index selection rule for criss-cross algorithms of linear complementarity problems [J].

Csizmadia, Zsolt ;

Illes, Tibor ;

Nagy, Adrienn .

ACTA UNIVERSITATIS SAPIENTIAE INFORMATICA, 2013, 5 (01) :103-139

[7] A SUFFICIENT CONDITION FOR SELF-CONCORDANCE, WITH APPLICATION TO SOME CLASSES OF STRUCTURED CONVEX-PROGRAMMING PROBLEMS [J].

DENHERTOG, D ;

JARRE, F ;

ROOS, C ;

TERLAKY, T .

MATHEMATICAL PROGRAMMING, 1995, 69 (01) :75-88

[8]

Devanur Nikhil R., 2016, ACM Transactions on Economics and Computation, V5, DOI 10.1145/2930658

[9] Market Equilibrium via a Primal-Dual Algorithm for a Convex Program [J].

Devanur, Nikhil R. ;

Papadimitriou, Christos H. ;

Saberi, Amin ;

Vazirani, Vijay V. .

JOURNAL OF THE ACM, 2008, 55 (05)

[10]

Duan R., 2016, P 27 S DISCR ALG SOD, P90

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