Assortment Display, Price Competition and Fairness in Online Marketplaces

47 Pages Posted: 31 Aug 2021 Last revised: 20 Jun 2022

See all articles by Hongyu Chen

Hongyu Chen

Massachusetts Institute of Technology (MIT); Peking University - School of Mathematical Sciences

Hanwei Li

Massachusetts Institute of Technology

David Simchi-Levi

Massachusetts Institute of Technology (MIT) - School of Engineering

Michelle Xiao Wu

Massachusetts Institute of Technology (MIT) - Institute for Data, Systems, and Society (IDSS)

Weiming Zhu

HKU Business School, The University of Hong Kong

Date Written: August 30, 2021

Abstract

Online platforms have been expanding the seller base to widen their product assortment to match the heterogeneous preferences of consumers. Nevertheless, the increasing number of sellers leads to intensified competition and results in sellers setting lower prices for the products. Thus, it is unclear whether displaying all the sellers to the entire customer base maximizes platform revenue. Motivated by the unique setting of Airbnb, we consider a game-theoretical setup in which each seller on the platform provides a single-unit product to a heterogeneous customer base and competes with one another on price. We investigate sellers' optimal pricing decisions and the platform's optimal assortment display policy, which is characterized by the partitioning of products and traffic assigned to each partition. We find that the platform should display the entire assortment to all the customers when demand is sufficiently high. Moreover, we propose a tabulation algorithm and a mixed-integer programming formulation to effectively solve for the sellers' and the platform's optimal decisions. Additionally, we incorporate constraints to guarantee a certain degree of the seller and customer fairness, on both the system and individual level, in the optimal display policy. Using data from Airbnb, we present a case study to illustrate how our model framework can be applied in practice. Finally, we extend the case in which each seller supplies a distinct product with an inventory size of one by considering scenarios in which each product has more than one unit.

Keywords: Operations Management, Online Platforms, Price Competition, Revenue Management, Assortment Optimization, Market Equilibrium, Fairness

Suggested Citation

Chen, Hongyu and Li, Hanwei and Simchi-Levi, David and Wu, Michelle Xiao and Zhu, Weiming, Assortment Display, Price Competition and Fairness in Online Marketplaces (August 30, 2021). Available at SSRN: https://ssrn.com/abstract=3913764. or http://dx.doi.org/10.2139/ssrn.3913764

Hongyu Chen

Massachusetts Institute of Technology (MIT) ( email )

77 Massachusetts Avenue
50 Memorial Drive
Cambridge, MA 02139-4307
United States

Peking University - School of Mathematical Sciences ( email )

Peking
China

Hanwei Li (Contact Author)

Massachusetts Institute of Technology ( email )

United States

David Simchi-Levi

Massachusetts Institute of Technology (MIT) - School of Engineering ( email )

MA
United States

Michelle Xiao Wu

Massachusetts Institute of Technology (MIT) - Institute for Data, Systems, and Society (IDSS) ( email )

United States

Weiming Zhu

HKU Business School, The University of Hong Kong ( email )

Hong Kong
China

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