Order isomorphisms for preferences with intransitive indifference
- 作者：Knoblauch ; Vicki
- 关键词：Intransitive indifference ; Order isomorphism ; Preferences ; D11
- 刊名：Journal of Mathematical Economics
- 出版年：1998
- 期刊代码：34_03044068
- 类别：mt
- 出版时间：November, 1998
- 卷：30
- 期：4
- 页码：421-431
- 文件大小：85.0 K
摘要
An order isomorphism from one preference relation to another is a function between their underlying sets that preserves both preference and indifference. A utility function is an order isomorphism, as is a well-known two-function representation for preference relations with intransitive indifference. Necessary and sufficient conditions are given for the existence of an order isomorphism from a given preference relation to the set of sequences of zeros and ones ordered by Pareto dominance. This means of preference representation is shown via examples to be quite general.