On substitutability and complementarity in discrete choice models

In this paper, we propose the concepts of substitutability and complementarity in discrete choice models. These concepts concern whether the choice probability of one alternative in a choice model increases or decreases with the utility of another alternative, and they play important roles in captur...

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Bibliographic Details
Main Authors: FENG, Guiyun, LI, Xiaobo, WANG, Zizhuo
Format: text
Language:English
Published: Institutional Knowledge at Singapore Management University 2018
Subjects:
Online Access:https://ink.library.smu.edu.sg/lkcsb_research/6499
https://ink.library.smu.edu.sg/context/lkcsb_research/article/7498/viewcontent/Substitutability_Complementarity_DCM_sv.pdf
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Institution: Singapore Management University
Language: English
Description
Summary:In this paper, we propose the concepts of substitutability and complementarity in discrete choice models. These concepts concern whether the choice probability of one alternative in a choice model increases or decreases with the utility of another alternative, and they play important roles in capturing certain practical choice patterns, such as the halo effect. We study conditions on discrete choice models that will lead to substitutability and complementarity. We also present ways of constructing choice models that exhibit complementary property.