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INOUE Tomoki
Department Undergraduate School , School of Political Science and Economics Position Senior Assistant Professor |
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| Language | English |
| Publication Date | 2010/01 |
| Type | Academic Journal |
| Peer Review | Peer reviewed |
| Title | A utility representation theorem with weaker continuity condition |
| Contribution Type | Sole-authored |
| Journal | Journal of Mathematical Economics |
| Volume, Issue, Page | 46(1),pp.122-127 |
| Details | We prove that a mixture continuous preference relation 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 the usual continuity assumed by them. |
| DOI | 10.1016/j.jmateco.2009.09.002 |