A Conjugate Class of Utility Functions for Sequential Decision Problems

被引:0
|
作者
Houlding, Brett [1 ]
Coolen, Frank P. A. [2 ]
Bolger, Donnacha [1 ]
机构
[1] Univ Dublin Trinity Coll, Discipline Stat, Dublin 2, Ireland
[2] Univ Durham, Dept Math Sci, Durham, England
关键词
Decision analysis; matched updating; normative choice theory; preference modeling; risk analysis; utility theory; APPROXIMATIONS; RISK;
D O I
10.1111/risa.12359
中图分类号
R1 [预防医学、卫生学];
学科分类号
1004 ; 120402 ;
摘要
The use of the conjugacy property for members of the exponential family of distributions is commonplace within Bayesian statistical analysis, allowing for tractable and simple solutions to problems of inference. However, despite a shared motivation, there has been little previous development of a similar property for using utility functions within a Bayesian decision analysis. As such, this article explores a class of utility functions that appear to be reasonable for modeling the preferences of a decisionmaker in many real-life situations, but that also permit a tractable and simple analysis within sequential decision problems.
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页码:1611 / 1622
页数:12
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