FROM LOCAL TO GLOBAL ADDITIVE REPRESENTATION

被引：30

作者：

CHATEAUNEUF, A

WAKKER, P

机构：

[1] UNIV NIJMEGEN,NICI,6500 HD NIJMEGEN,NETHERLANDS

[2] UNIV PARIS 01,CERMSEM,F-75231 PARIS,FRANCE

来源：

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

关键词：

D O I：

10.1016/0304-4068(93)90002-3

中图分类号：

F [经济];

学科分类号：

02 ;

摘要：

The paper studies continuous additive representations of transitive preferences on connected subdomains of product sets. Contrary to what has sometimes been thought, local additive representability does not imply global additive representability. It is shown that the result can nevertheless be established under some additional connectedness conditions. This generalizes previous results on additive representations on (subsets of) product sets.

引用

页码：523 / 545

页数：23

共 30 条

[1]

Blaschke W, 1938, GEOMETRIE DER GEWEBE

[2]

Bourbaki N, 1971, ELEMENTS MATH TOPOLO

[3]

Chew S. H., 1989, Annals of Operations Research, V19, P299, DOI 10.1007/BF02283526

[4] A UNIFYING APPROACH TO AXIOMATIC NON-EXPECTED UTILITY THEORIES [J].

CHEW, SH ;

EPSTEIN, LG .

JOURNAL OF ECONOMIC THEORY, 1989, 49 (02) :207-240

[5] CONTINUITY PROPERTIES OF PARETIAN UTILITY [J].

DEBREU, G .

INTERNATIONAL ECONOMIC REVIEW, 1964, 5 (03) :285-293

[6]

DEBREU G, 1960, MATH METHODS SOCIAL, P16

[7] UTILITY INDEPENDENCE ON SUBSETS OF PRODUCT SETS [J].

FISHBURN, PC .

OPERATIONS RESEARCH, 1976, 24 (02) :245-255

[8]

FISHBURN PC, 1992, NAV RES LOG, V39, P741, DOI 10.1002/1520-6750(199210)39:6<741::AID-NAV3220390602>3.0.CO

[9]

2-2

[10]

Fishburn PC., 1988, NONLINEAR PREFERENCE

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