Continuity and completeness under risk

被引：21

作者：

Dubra, Juan ^{[1
]}

机构：

[1] Univ Montevideo, Montevideo, Uruguay

来源：

MATHEMATICAL SOCIAL SCIENCES | 2011年 / 61卷 / 01期

关键词：

Incomplete preferences; Independence axiom; Archimedean property;

D O I：

10.1016/j.mathsocsci.2010.11.001

中图分类号：

F [经济];

学科分类号：

02 ;

摘要：

Suppose some non-degenerate preferences R, with strict part P. over risky outcomes satisfy Independence. Then, when they satisfy any two of the following axioms, they satisfy the third. Herstein-Milnor: for all lotteries p, q. r, the set of a's for which ap + (1 - a)qRr is closed. Archimedean: for all p, q, r there exists a > 0 such that if pPq, then ap + (1 - a)rPg. Complete: for all p, q, either pRq or qRp. (C) 2010 Elsevier B.V. All rights reserved.

引用

页码：80 / 81

页数：2