The Debreu Gap Lemma and some generalizations
In this paper we study the Debreu Gap Lemma and its generalizations to totally ordered sets more general than ( R,≤) . 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 utilit...
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| Veröffentlicht in: | Journal of mathematical economics 2004-11, Vol.40 (7), p.747-769 |
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| container_end_page | 769 |
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| container_issue | 7 |
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| container_title | Journal of mathematical economics |
| container_volume | 40 |
| creator | Herden, G. Mehta, G.B. |
| description | In this paper we study the Debreu Gap Lemma and its generalizations to totally ordered sets more general than
(
R,≤)
. 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. |
| doi_str_mv | 10.1016/j.jmateco.2003.06.002 |
| format | Article |
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(
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(
R,≤)
. 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.</description><subject>Countable chain condition</subject><subject>Debreu Gap Lemma</subject><subject>Economic analysis</subject><subject>Economic theory</subject><subject>Hypothesis</subject><subject>Lexicographically ordered chains</subject><subject>Mathematical methods</subject><subject>Mathematical models</subject><subject>Souslin hypothesis</subject><subject>Studies</subject><subject>Utility functions</subject><issn>0304-4068</issn><issn>1873-1538</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2004</creationdate><recordtype>article</recordtype><sourceid>X2L</sourceid><recordid>eNqFkEtLAzEUhYMoWKs_QRhcuJvx5jFJuhLxUZWCG12HNHPHZug8TKaC_npTWly4cXFyIJxzuHyEnFMoKFB51RRNa0d0fcEAeAGyAGAHZEK14jktuT4kE-AgcgFSH5OTGBsAUAr0hOSvK8zucBlwk83tkC2wbW1muyqLfYvZO3YY7Np_29H3XTwlR7VdRzzb-5S8Pdy_3j7mi5f50-3NIndiJsZcz2pXMuEcl-ioXC4rIWugFatKUUqsgbHKSlUiRS24qCxqZmsALFX6rAWfksvd7hD6jw3G0bQ-OlyvbYf9JhquZooxSVPw4k-w6TehS7cZxjSoNK9TqNyFXOhjDFibIfjWhi9DwWwJmsbsCZotQQPSJIKp97zrBRzQ_ZYQcR_-NNwKSM9XUmqKZD5JJQ1bF8ooOTOrsU1j17sxTNw-PQYTncfOYeUDutFUvf_nnB-4pZOx</recordid><startdate>20041101</startdate><enddate>20041101</enddate><creator>Herden, G.</creator><creator>Mehta, G.B.</creator><general>Elsevier B.V</general><general>Elsevier</general><general>Elsevier Sequoia S.A</general><scope>DKI</scope><scope>X2L</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>8BJ</scope><scope>FQK</scope><scope>JBE</scope><scope>JQ2</scope></search><sort><creationdate>20041101</creationdate><title>The Debreu Gap Lemma and some generalizations</title><author>Herden, G. ; Mehta, G.B.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c494t-89fc524cc36ec16bbd46f01d2d5456ef022da675e1e8434dae82af00e5775ef43</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2004</creationdate><topic>Countable chain condition</topic><topic>Debreu Gap Lemma</topic><topic>Economic analysis</topic><topic>Economic theory</topic><topic>Hypothesis</topic><topic>Lexicographically ordered chains</topic><topic>Mathematical methods</topic><topic>Mathematical models</topic><topic>Souslin hypothesis</topic><topic>Studies</topic><topic>Utility functions</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Herden, G.</creatorcontrib><creatorcontrib>Mehta, G.B.</creatorcontrib><collection>RePEc IDEAS</collection><collection>RePEc</collection><collection>CrossRef</collection><collection>International Bibliography of the Social Sciences (IBSS)</collection><collection>International Bibliography of the Social Sciences</collection><collection>International Bibliography of the Social Sciences</collection><collection>ProQuest Computer Science Collection</collection><jtitle>Journal of mathematical economics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Herden, G.</au><au>Mehta, G.B.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>The Debreu Gap Lemma and some generalizations</atitle><jtitle>Journal of mathematical economics</jtitle><date>2004-11-01</date><risdate>2004</risdate><volume>40</volume><issue>7</issue><spage>747</spage><epage>769</epage><pages>747-769</pages><issn>0304-4068</issn><eissn>1873-1538</eissn><coden>JMECDA</coden><abstract>In this paper we study the Debreu Gap Lemma and its generalizations to totally ordered sets more general than
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. 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.</abstract><cop>Amsterdam</cop><pub>Elsevier B.V</pub><doi>10.1016/j.jmateco.2003.06.002</doi><tpages>23</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0304-4068 |
| ispartof | Journal of mathematical economics, 2004-11, Vol.40 (7), p.747-769 |
| issn | 0304-4068 1873-1538 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_37972261 |
| source | RePEc; ScienceDirect Journals (5 years ago - present) |
| subjects | Countable chain condition Debreu Gap Lemma Economic analysis Economic theory Hypothesis Lexicographically ordered chains Mathematical methods Mathematical models Souslin hypothesis Studies Utility functions |
| title | The Debreu Gap Lemma and some generalizations |
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