A TREE CAN MAKE A DIFFERENCE

被引:3
|
作者
Lauwers, Luc [1 ]
Vallentyne, Peter [2 ]
机构
[1] Katholieke Univ Leuven, Leuven, Belgium
[2] Univ Missouri, Columbia, MO 65211 USA
来源
JOURNAL OF PHILOSOPHY | 2017年 / 114卷 / 01期
关键词
D O I
10.5840/jphil201711412
中图分类号
B [哲学、宗教];
学科分类号
01 ; 0101 ;
摘要
We show that it is not possible to extend the ranking of onestage lotteries based on their weak expectation to a reflexive and transitive (but possibly incomplete) relation on the collection of one- and two-stage lotteries that satisfies two basic axioms: the minimal-value axiom and the reduction axiom. We propose an extension that satisfies only the first axiom. This ranking takes payoffs, their probabilities, and the tree structure into account. © 2017 The Journal of Philosophy, Inc.
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页码:33 / 42
页数:10
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