Working Papers. Institute of Mathematical Economics, 401. Bielefeld: Universität Bielefeld.

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Authors

Inoue, Tomoki^{UniBi}

Department

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

PUB-ID

2316255 | Link: http://pub.uni-bielefeld.de/publication/2316255

This data publication is cited in the following publications:

This publication cites the following data publications:

Inoue T. *A utility representation theorem with weaker continuity condition*. Working Papers. Institute of Mathematical Economics. Vol 401. Bielefeld: Universität Bielefeld; 2008.

Inoue, T. (2008). *A utility representation theorem with weaker continuity condition* (Working Papers. Institute of Mathematical Economics, 401) . Bielefeld: Universität Bielefeld.

Inoue, T. (2008). A utility representation theorem with weaker continuity condition. *Working Papers. Institute of Mathematical Economics*, 401, Bielefeld: Universität Bielefeld.

Inoue, T., 2008. *A utility representation theorem with weaker continuity condition*, Working Papers. Institute of Mathematical Economics, no.401, Bielefeld: Universität Bielefeld.

T. Inoue, *A utility representation theorem with weaker continuity condition*, Working Papers. Institute of Mathematical Economics, vol. 401, Bielefeld: Universität Bielefeld, 2008.

Inoue, T.: A utility representation theorem with weaker continuity condition. Working Papers. Institute of Mathematical Economics, 401. Universität Bielefeld, Bielefeld (2008).

Inoue, Tomoki. *A utility representation theorem with weaker continuity condition*. Bielefeld: Universität Bielefeld, 2008. Working Papers. Institute of Mathematical Economics. 401.

@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}, 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}, volume = {401}, 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 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 VL - 401 ER -