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# A utility representation theorem with weaker continuity condition

Inoue T (2008)
IMW working papers, Bielefeld: Universität Bielefeld.
254.59 KB
Working Paper | Published | English

Authors
Department
Institut für mathematische Wirtschaftsforschung
Fakultät für Wirtschaftswissenschaften
Abstract:
We prove that a preference relation which is continuous on every straight line has a utility representation if its domain is a convex subset of a finite dimensional vector space. Our condition on the domain of a preference relation is stronger than Eilenberg (1941) and Debreu (1959, 1964), but our condition on the continuity of a preference relation is strictly weaker than theirs.
Keywords
Linear continuity ; Utility representation
Year
2008
ISSN
0931-6558
File Name
401.pdf 254.59 KB
Access Level
Open Access

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##### Cite this
Inoue T. A utility representation theorem with weaker continuity condition. IMW working papers. Bielefeld: Universität Bielefeld; 2008.
Inoue, T. (2008). A utility representation theorem with weaker continuity condition (IMW working papers) . Bielefeld: Universität Bielefeld.
Inoue, T. (2008). A utility representation theorem with weaker continuity condition. IMW working papers, Bielefeld: Universität Bielefeld.
Inoue, T., 2008. A utility representation theorem with weaker continuity condition, IMW working papers, Bielefeld: Universität Bielefeld.
T. Inoue, A utility representation theorem with weaker continuity condition, IMW working papers, Bielefeld: Universität Bielefeld, 2008.
Inoue, T.: A utility representation theorem with weaker continuity condition. IMW working papers. Universität Bielefeld, Bielefeld (2008).
Inoue, Tomoki. A utility representation theorem with weaker continuity condition. Bielefeld: Universität Bielefeld, 2008. IMW working papers.
@misc{2316255,
abstract     = {We prove that a preference relation which is continuous on every straight line has a utility representation if its domain is a convex subset of a finite dimensional vector space. Our condition on the domain of a preference relation is stronger than Eilenberg (1941) and Debreu (1959, 1964), but our condition on the continuity of a preference relation is strictly weaker than theirs.},
author       = {Inoue, Tomoki},
issn         = {0931-6558},
language     = {English},
number       = {401},
publisher    = {Universit{\"a}t Bielefeld},
title        = {A utility representation theorem with weaker continuity condition},
url          = {http://www.imw.uni-bielefeld.de/papers/files/imw-wp-401.pdf},
year         = {2008},
}


TY  - GEN
AB  - We prove that a preference relation which is continuous on every straight line has a utility representation if its domain is a convex subset of a finite dimensional vector space. Our condition on the domain of a preference relation is stronger than Eilenberg (1941) and Debreu (1959, 1964), but our condition on the continuity of a preference relation is strictly weaker than theirs.
AU  - Inoue, Tomoki
ID  - 2316255
IS  - 401
KW  - Linear continuity
KW  - Utility representation
PB  - Universität Bielefeld
PY  - 2008
SN  - 0931-6558
TI  - A utility representation theorem with weaker continuity condition
U3  - PUB:ID 2316255
UR  - http://nbn-resolving.de/urn:nbn:de:hbz:361-13695
ER  -

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