Additive Representations of Preferences: A New Foundation of Decision Analysis
Additive Representations of Preferences: A New Foundation of Decision Analysis
复制标题
DOI：
10.1007/978-1-4613-9728-1_4
复制
发表时间：
1988-12
期刊：
影响因子：
--
通讯作者：
P. Wakker
中科院分区：
文献类型：
--
作者：
P. Wakker
在Wakker （1989b，“偏好的加法表示，决策分析的新基础”）中，给出了决策分析的新基础。主要工具是一种从顺序偏好中得出“权衡”比较的方法，权衡比较揭示了效用差异的顺序。这些权衡比较是联合测量理论中标准序列构造的基础。限制性结构假设（每种方法都有其限制性结构假设）具有拓扑性质，需要连续性。本文将Wakker （1989b）的主要结果应用于代数方法，其中需要一个比连续性约束更小的可解条件。
In Wakker (1989b,'Additive Representations of Preferences, A New Foundation of Decision Analysis'), a new foundation of decision analysis was given. The main tool was a way to derive comparisons of'tradeoffs' from ordinal preferences, with comparisons of tradeoffs revealing orderings of utility differences. These comparisons of tradeoffs underly the construction of standard sequences in conjoint measurement theory. The restrictive structural assumption (every approach has its restrictive structural assumption) was of a topological nature, requiring continuity. This paper adapts the main results of Wakker (1989b) to the algebraic approach, where a solvability condition is required which is less restricHve than continuity.