UTILITY-FUNCTIONS ON CHAINS

被引：8
作者：
CANDEAL, JC
INDURAIN, E
机构：
[1] UNIV PUBL NAVARRA,DEPT MATEMAT & INFORMAT,C-EL SADAR SN,E-31006 PAMPLONA,SPAIN
[2] UNIV ZARAGOZA,ZARAGOZA,SPAIN
来源：
JOURNAL OF MATHEMATICAL ECONOMICS | 1993年 / 22卷 / 02期
关键词：
D O I：
10.1016/0304-4068(93)90045-M
中图分类号：
F [经济];
学科分类号：
02 ;
摘要：
This paper addresses the problem of the existence of utility representations on totally ordered sets (chains). Sufficient conditions about the non-representability of chains by real-valued utility functions are given. Chains lacking a continuous utility representation are also considered and it is shown that no total ordering on R(n) (n > 1) can be represented by a continuous utility function.
引用
收藏
页码：161 / 168
页数：8
相关论文
共 21 条
[11]   ON THE EXISTENCE OF UTILITY-FUNCTIONS [J].
HERDEN, G .
MATHEMATICAL SOCIAL SCIENCES, 1989, 17 (03) :297-313
[12]   EXISTENCE OF A CONTINUOUS UTILITY FUNCTION - ELEMENTARY PROOF [J].
JAFFRAY, JY .
ECONOMETRICA, 1975, 43 (5-6) :981-983
[13]  
JAMESON GJO, 1974, TOPOLOGY NORMED SPAC
[14]  
KRANTZ DH, 1971, F MEASUREMENT, V1
[15]  
Larsen R., 1973, FUNCTIONAL ANAL INTR
[16]  
LUCE RD, 1965, HDB MATH PSYCHOL, V2
[17]   EXISTENCE OF AN ORDER-PRESERVING FUNCTION ON NORMALLY PREORDERED SPACES [J].
MEHTA, G .
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1986, 34 (01) :141-147
[18]   ON A THEOREM OF FLEISCHER [J].
MEHTA, G .
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 1986, 40 :261-266
[19]   CONTINUOUS UTILITY-FUNCTIONS [J].
MEHTA, G .
ECONOMICS LETTERS, 1985, 18 (2-3) :113-115
[20]  
MILGRAM AN, 1939, REPORTS MATH C U NOT, V1
123