The Order-Dependent Luce Model
提出了一个简单公理模型,将选项顺序(如排名、货架位置)对选择频率的影响纳入卢斯模型,通过弱化无关选项独立性公理来刻画,并应用于最优排序问题和跨期选择实验数据。
I develop a simple axiomatic model that incorporates the order effect: the ordering of alternatives (e.g., ranking of universities, the location of products in a grocery store, the order of candidates on a ballot) affects choice frequencies. In my model, the probability of choosing an alternative is proportional to the utility of the alternative, similar to the Luce model. However, the utility of the alternative depends on the relative ordering of the alternative in the menu. I characterize this model by two weakenings of Luce’s axiom of independence of irrelevant alternatives. I discuss how to identify the ordering of alternatives from choice data when it is not observed. Finally, I apply my model to an optimal ordering problem and to experimental data on intertemporal choice. This paper was accepted by Manel Baucells, decision analysis.