Implications of Advertising Lag on the Dynamic Optimal Decisions in an O2O Supply Chain

The advertising lag effect and the reference quality effect are intrinsic properties of the market that influence supply chain performance. In this paper, we use the differential game theory considering the above two effects under an O2O (online to offline) environment. We investigate how these two...

Full description

Saved in:
Bibliographic Details
Main Authors: Xiuxian Li, Ling Li, Xinyu Wang, Shuhua Zhang
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2021/6681319
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1850167070122049536
author Xiuxian Li
Ling Li
Xinyu Wang
Shuhua Zhang
author_facet Xiuxian Li
Ling Li
Xinyu Wang
Shuhua Zhang
author_sort Xiuxian Li
collection DOAJ
description The advertising lag effect and the reference quality effect are intrinsic properties of the market that influence supply chain performance. In this paper, we use the differential game theory considering the above two effects under an O2O (online to offline) environment. We investigate how these two effects impact supply chain performance. By the extended maximum principle, the optimal analytical solutions of the decision variables in two different game scenarios are obtained, i.e., with and without advertising cooperation. We conclude that the optimal wholesale price (advertising effort level, product quality level, and retail price) increases or decreases exponentially to its steady state, which depends on whether the initial goodwill is lower than the static goodwill or not. The analysis shows that the advertising lag effect has a negative impact on the supply chain, while the reference quality effect is positive. The vertical advertising cooperation strategy is effective in facilitating the channel performance. From a comparison analysis, we obtain that the manufacturer concentrates more effort on quality improvement if the advertising lag time is larger or if consumers are more sensitive to quality, and the manufacturer pays more attention to advertising relative to quality improvements with a higher advertising cost sharing ratio.
format Article
id doaj-art-db6f4d97183a4fb69752c8d818df3096
institution OA Journals
issn 1026-0226
1607-887X
language English
publishDate 2021-01-01
publisher Wiley
record_format Article
series Discrete Dynamics in Nature and Society
spelling doaj-art-db6f4d97183a4fb69752c8d818df30962025-08-20T02:21:17ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2021-01-01202110.1155/2021/66813196681319Implications of Advertising Lag on the Dynamic Optimal Decisions in an O2O Supply ChainXiuxian Li0Ling Li1Xinyu Wang2Shuhua Zhang3College of Science, Tianjin University of Commerce, Tianjin 300134, ChinaBusiness School, Tianjin University of Finance and Economics, Tianjin 300222, ChinaCoordinated Innovation Center for Computable Modeling in Management Science, Tianjin University of Finance and Economics, Tianjin 300222, ChinaCoordinated Innovation Center for Computable Modeling in Management Science, Tianjin University of Finance and Economics, Tianjin 300222, ChinaThe advertising lag effect and the reference quality effect are intrinsic properties of the market that influence supply chain performance. In this paper, we use the differential game theory considering the above two effects under an O2O (online to offline) environment. We investigate how these two effects impact supply chain performance. By the extended maximum principle, the optimal analytical solutions of the decision variables in two different game scenarios are obtained, i.e., with and without advertising cooperation. We conclude that the optimal wholesale price (advertising effort level, product quality level, and retail price) increases or decreases exponentially to its steady state, which depends on whether the initial goodwill is lower than the static goodwill or not. The analysis shows that the advertising lag effect has a negative impact on the supply chain, while the reference quality effect is positive. The vertical advertising cooperation strategy is effective in facilitating the channel performance. From a comparison analysis, we obtain that the manufacturer concentrates more effort on quality improvement if the advertising lag time is larger or if consumers are more sensitive to quality, and the manufacturer pays more attention to advertising relative to quality improvements with a higher advertising cost sharing ratio.http://dx.doi.org/10.1155/2021/6681319
spellingShingle Xiuxian Li
Ling Li
Xinyu Wang
Shuhua Zhang
Implications of Advertising Lag on the Dynamic Optimal Decisions in an O2O Supply Chain
Discrete Dynamics in Nature and Society
title Implications of Advertising Lag on the Dynamic Optimal Decisions in an O2O Supply Chain
title_full Implications of Advertising Lag on the Dynamic Optimal Decisions in an O2O Supply Chain
title_fullStr Implications of Advertising Lag on the Dynamic Optimal Decisions in an O2O Supply Chain
title_full_unstemmed Implications of Advertising Lag on the Dynamic Optimal Decisions in an O2O Supply Chain
title_short Implications of Advertising Lag on the Dynamic Optimal Decisions in an O2O Supply Chain
title_sort implications of advertising lag on the dynamic optimal decisions in an o2o supply chain
url http://dx.doi.org/10.1155/2021/6681319
work_keys_str_mv AT xiuxianli implicationsofadvertisinglagonthedynamicoptimaldecisionsinano2osupplychain
AT lingli implicationsofadvertisinglagonthedynamicoptimaldecisionsinano2osupplychain
AT xinyuwang implicationsofadvertisinglagonthedynamicoptimaldecisionsinano2osupplychain
AT shuhuazhang implicationsofadvertisinglagonthedynamicoptimaldecisionsinano2osupplychain