Game theoretic model for low carbon supply chain under carbon emissions reduction sensitive random demand

This paper considers a low carbon supply chain consisting of a single manufacturer and a single retailer under the condition that the demand is uncertain. We first establish three games, including manufacturer Stackelberg (MS), retailer Stackelberg (RS) and Nash according to the different power stru...

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Main Authors: Ma Chao, Huang Fuyou, Hu Yongwen
Format: Article
Language:English
Published: Sciendo 2023-07-01
Series:Applied Mathematics and Nonlinear Sciences
Subjects:
Online Access:https://doi.org/10.2478/amns.2022.1.00101
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author Ma Chao
Huang Fuyou
Hu Yongwen
author_facet Ma Chao
Huang Fuyou
Hu Yongwen
author_sort Ma Chao
collection DOAJ
description This paper considers a low carbon supply chain consisting of a single manufacturer and a single retailer under the condition that the demand is uncertain. We first establish three games, including manufacturer Stackelberg (MS), retailer Stackelberg (RS) and Nash according to the different power structure of the firms. We then determine that the equilibrium stocking factors, emission reduction levels, wholesale prices and retail prices for the three models, respectively. After that, we demonstrate the effects of power structure. Results show that when the power shifts from the retailer to the manufacturer, the stocking factor decreases, whereas the wholesale price increases. Finally, we discuss the impacts of the random demand. We find that the expected profits of the firms, the emission reduction levels and the retail prices are increasing with respect to the market potential and low-carbon sensitivity coefficient, respectively. Meanwhile, they decrease with respect to the price sensitivity coefficient.
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spelling doaj.art-69f18f1db32a451f95dd0073de07ad902024-03-11T10:05:45ZengSciendoApplied Mathematics and Nonlinear Sciences2444-86562023-07-018211810.2478/amns.2022.1.00101Game theoretic model for low carbon supply chain under carbon emissions reduction sensitive random demandMa Chao0Huang Fuyou1Hu Yongwen21Hubei Key Laboratory of Power System Design and Test for Electrical Vehicle, Hubei University of Arts and Science, Xiangyang, 441053, China3Institute of Transportation Development Strategy & Planning of Sichuan Province, Chengdu610041, China1Hubei Key Laboratory of Power System Design and Test for Electrical Vehicle, Hubei University of Arts and Science, Xiangyang, 441053, ChinaThis paper considers a low carbon supply chain consisting of a single manufacturer and a single retailer under the condition that the demand is uncertain. We first establish three games, including manufacturer Stackelberg (MS), retailer Stackelberg (RS) and Nash according to the different power structure of the firms. We then determine that the equilibrium stocking factors, emission reduction levels, wholesale prices and retail prices for the three models, respectively. After that, we demonstrate the effects of power structure. Results show that when the power shifts from the retailer to the manufacturer, the stocking factor decreases, whereas the wholesale price increases. Finally, we discuss the impacts of the random demand. We find that the expected profits of the firms, the emission reduction levels and the retail prices are increasing with respect to the market potential and low-carbon sensitivity coefficient, respectively. Meanwhile, they decrease with respect to the price sensitivity coefficient.https://doi.org/10.2478/amns.2022.1.00101low carbondemand uncertaintypower structuregame theory90b50
spellingShingle Ma Chao
Huang Fuyou
Hu Yongwen
Game theoretic model for low carbon supply chain under carbon emissions reduction sensitive random demand
Applied Mathematics and Nonlinear Sciences
low carbon
demand uncertainty
power structure
game theory
90b50
title Game theoretic model for low carbon supply chain under carbon emissions reduction sensitive random demand
title_full Game theoretic model for low carbon supply chain under carbon emissions reduction sensitive random demand
title_fullStr Game theoretic model for low carbon supply chain under carbon emissions reduction sensitive random demand
title_full_unstemmed Game theoretic model for low carbon supply chain under carbon emissions reduction sensitive random demand
title_short Game theoretic model for low carbon supply chain under carbon emissions reduction sensitive random demand
title_sort game theoretic model for low carbon supply chain under carbon emissions reduction sensitive random demand
topic low carbon
demand uncertainty
power structure
game theory
90b50
url https://doi.org/10.2478/amns.2022.1.00101
work_keys_str_mv AT machao gametheoreticmodelforlowcarbonsupplychainundercarbonemissionsreductionsensitiverandomdemand
AT huangfuyou gametheoreticmodelforlowcarbonsupplychainundercarbonemissionsreductionsensitiverandomdemand
AT huyongwen gametheoreticmodelforlowcarbonsupplychainundercarbonemissionsreductionsensitiverandomdemand