Production and Pricing Strategies of Energy-Saving Products in the Presence of Duopolistic Manufacturers

This paper considers optimal production and pricing strategies of energy-saving products in the presence of duopolistic manufacturers. First, we analyze the free competition case by a Bertrand game. A sufficient condition for guaranteeing the existence and the uniqueness of the equilibrium solution...

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Main Authors: Xuefeng Xia, Zhenkai Lou, Xiaozhen Dai
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2020/8954262
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spelling doaj-db6b7a49f54b4c8496eddb499a8ca01c2020-11-25T03:02:27ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472020-01-01202010.1155/2020/89542628954262Production and Pricing Strategies of Energy-Saving Products in the Presence of Duopolistic ManufacturersXuefeng Xia0Zhenkai Lou1Xiaozhen Dai2School of Economics and Management, Beijing University of Posts and Telecommunications, Beijing, ChinaSchool of Management and Economics, Beijing Institute of Technology, Beijing, ChinaSchool of Management, Wenzhou Business College, Zhejiang, ChinaThis paper considers optimal production and pricing strategies of energy-saving products in the presence of duopolistic manufacturers. First, we analyze the free competition case by a Bertrand game. A sufficient condition for guaranteeing the existence and the uniqueness of the equilibrium solution is proposed. The change rate of the benefit function of environment with regard to purchasing preference proportions is examined. Second, we investigate the case in the presence of energy-saving incentive. A two-layer decision model is constructed by considering the decision order of each participant. Optimal strategies between the two cases are compared. We provide theoretical foundations for the government to formulate policies of energy-saving incentive under a financial budget constraint. Finally, a numerical example is presented to verify the obtained conclusions and make some supplements.http://dx.doi.org/10.1155/2020/8954262
collection DOAJ
language English
format Article
sources DOAJ
author Xuefeng Xia
Zhenkai Lou
Xiaozhen Dai
spellingShingle Xuefeng Xia
Zhenkai Lou
Xiaozhen Dai
Production and Pricing Strategies of Energy-Saving Products in the Presence of Duopolistic Manufacturers
Mathematical Problems in Engineering
author_facet Xuefeng Xia
Zhenkai Lou
Xiaozhen Dai
author_sort Xuefeng Xia
title Production and Pricing Strategies of Energy-Saving Products in the Presence of Duopolistic Manufacturers
title_short Production and Pricing Strategies of Energy-Saving Products in the Presence of Duopolistic Manufacturers
title_full Production and Pricing Strategies of Energy-Saving Products in the Presence of Duopolistic Manufacturers
title_fullStr Production and Pricing Strategies of Energy-Saving Products in the Presence of Duopolistic Manufacturers
title_full_unstemmed Production and Pricing Strategies of Energy-Saving Products in the Presence of Duopolistic Manufacturers
title_sort production and pricing strategies of energy-saving products in the presence of duopolistic manufacturers
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2020-01-01
description This paper considers optimal production and pricing strategies of energy-saving products in the presence of duopolistic manufacturers. First, we analyze the free competition case by a Bertrand game. A sufficient condition for guaranteeing the existence and the uniqueness of the equilibrium solution is proposed. The change rate of the benefit function of environment with regard to purchasing preference proportions is examined. Second, we investigate the case in the presence of energy-saving incentive. A two-layer decision model is constructed by considering the decision order of each participant. Optimal strategies between the two cases are compared. We provide theoretical foundations for the government to formulate policies of energy-saving incentive under a financial budget constraint. Finally, a numerical example is presented to verify the obtained conclusions and make some supplements.
url http://dx.doi.org/10.1155/2020/8954262
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