AXIOMATIC CHARACTERIZATIONS OF THE DUALITY CORRESPONDENCE IN CONSUMER THEORY

被引：0

作者：

MARTINEZLEGAZ, JE ^{[1
]}

机构：

[1] UNIV BARCELONA,BARCELONA,SPAIN

来源：

JOURNAL OF MATHEMATICAL ECONOMICS | 1993年 / 22卷 / 06期

关键词：

D O I：

10.1016/0304-4068(93)90001-2

中图分类号：

F [经济];

学科分类号：

02 ;

摘要：

In this paper we present several axiomatic characterizations of the mapping assigning to the utility function of a consumer its associated indirect utility function as well as characterizations of the inverse correspondence. Some of them refer to the standard case of real-valued functions, while others involve functions taking values in an arbitrary complete chain. In this abstract framework, we also give some simultaneous characterizations of both transformations.

引用

页码：509 / 522

页数：14

共 8 条

[1] DUALITY BETWEEN DIRECT AND INDIRECT UTILITY-FUNCTIONS - DIFFERENTIABILITY PROPERTIES [J].

CROUZEIX, JP .

JOURNAL OF MATHEMATICAL ECONOMICS, 1983, 12 (02) :149-165

[2]

Diewert W. E., 1982, HDB MATH EC, VII, P535

[3]

Martinez-Legaz J.-E., 1991, Optimization, V22, P483, DOI 10.1080/02331939108843691

[4]

Martinez-Legaz J.E., 1993, ECON THEOR, V3, P335

[5] DUALITY BETWEEN DIRECT AND INDIRECT UTILITY-FUNCTIONS UNDER MINIMAL HYPOTHESES [J].

MARTINEZLEGAZ, JE .

JOURNAL OF MATHEMATICAL ECONOMICS, 1991, 20 (02) :199-209

[6] INFIMAL GENERATORS AND DUALITIES BETWEEN COMPLETE LATTICES [J].

SINGER, I .

ANNALI DI MATEMATICA PURA ED APPLICATA, 1987, 148 :289-352

[7] SOME RELATIONS BETWEEN DUALITIES, POLARITIES, COUPLING FUNCTIONALS, AND CONJUGATIONS [J].

SINGER, I .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1986, 115 (01) :1-22

[8]

Volle M., 1985, ANN MAT PUR APPL, V139, P279

← 1 →