This paper generalizes the simple regret model by Bell in Operations Research 30(5), 961-981 and Loomes and Sugden in The Economic Journal 92(368), 805-824 to cope with the situation in which decision outcomes are multi-attributed. We propose a model that combines the simple regret model for ex ante preferences and the additive difference representation for ex post preferences. We first present a necessary and sufficient axiomatization of our model in Savage’s framework. The proposed model is composed of three types of functions. One is a value function for each attribute. The others are attribute-dependent and holistic regret-rejoicing functions that capture trade-offs among value-differences of chosen and forgone outcomes for each attribute and among all attributes, respectively. We then provide constructive procedures for those functions and methods for consistency checks of the procedures. We, finally, conduct an experiment to estimate those functions in the two attributes case by means of the constructive procedure and give an application of the model and our findings.

本文概括了 Bell 在Operations Research 30(5), 961-981 中以及 Loomes 和 Sugden 在The Economic Journal中提出的简单遗憾模型92(368), 805-824 来应对决策结果具有多属性的情况。我们提出了一种模型，该模型结合了事前偏好的简单遗憾模型和事后偏好的加性差异表示。我们首先在 Savage 框架中对我们的模型进行必要且充分的公理化。所提出的模型由三类函数组成。一个是每个属性的值函数。其他的是属性相关的和整体的后悔函数，它们分别捕获每个属性和所有属性之间选择和放弃结果的价值差异之间的权衡。然后，我们为这些函数提供建设性的程序以及程序一致性检查的方法。我们，最后，