A utility representation theorem with weaker continuity condition

作者：Inoue Tomoki^*

来源：Journal of Mathematical Economics, 2010, 46(1): 122-127.

DOI：10.1016/j.jmateco.2009.09.002

• Mixture continuity
• Utility representation

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.

• 出版日期2010-1-20