The Debreu Gap Lemma and some generalizations
| Contribuinte(s) |
Cornet B. and Geanakoplos J. |
|---|---|
| Data(s) |
01/01/2004
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| Resumo |
In this paper we study the Debreu Gap Lemma and its generalizations to totally ordered sets more general than (R, less than or equal to). We explain why it is important in economics to study utility functions which may not be real-valued and we build the foundations of a theory of continuity of such generalized utility functions. (C) 2004 Published by Elsevier B.V. |
| Identificador | |
| Idioma(s) |
eng |
| Publicador |
Elsevier |
| Palavras-Chave | #Mathematics, Interdisciplinary Applications #Economics #Social Sciences, Mathematical Methods #Debreu Gap Lemma #Lexicographically Ordered Chains #Countable Chain Condition #Souslin Hypothesis #Preference Relations #Utility-functions #Existence #Foundations #Continuity #Theorems #Spaces #C1 #340103 Mathematical Economics #729999 Economic issues not elsewhere classified |
| Tipo |
Journal Article |
