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...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Mathematical problems in engineering 2020, Vol.2020 (2020), p.1-9
Hauptverfasser: Lou, Xuming, Dai, Xiaozhen, Lou, Zhenkai
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 9
container_issue 2020
container_start_page 1
container_title Mathematical problems in engineering
container_volume 2020
creator Lou, Xuming
Dai, Xiaozhen
Lou, Zhenkai
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.
doi_str_mv 10.1155/2020/8954262
format Article
fullrecord <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_2427218884</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2427218884</sourcerecordid><originalsourceid>FETCH-LOGICAL-c279t-7d9e1713537d3b82ca8802387531a0302e32bfd6b7554eed72bcb412b1c725263</originalsourceid><addsrcrecordid>eNqF0N9LwzAQB_AiCs7pm89S8FHrkkvTpI-i8wdMHEzBt5Km1y1jpjNJlf33tnTgo0-5cJ-7g28UnVNyQynnEyBAJjLnKWRwEI0oz1jCaSoOu5pAmlBgH8fRifdrQoByKkfRau6aqtXBNDZWtornzmhjl_EiOBVwadDHTR1PLbrlLlmo7763H_GxsXFYYfdHj1ZjL-_bZttsjA9Gxy_KtrXSoXXo_Gl0VKuNx7P9O47eH6Zvd0_J7PXx-e52lmgQeUhElSMVlHEmKlZK0EpKAkwKzqgijAAyKOsqKwXnKWIloNRlSqGkWgCHjI2jy2Hv1jVfLfpQrJvW2e5kASkIoFLKtFPXg9Ku8d5hXWyd-VRuV1BS9FkWfZbFPsuOXw18ZWylfsx_-mLQ2Bms1Z8GQnPG2C-HYH1Q</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2427218884</pqid></control><display><type>article</type><title>Production and Pricing Strategies of Energy-Saving Products in the Presence of Duopolistic Manufacturers</title><source>Wiley Online Library Open Access</source><source>EZB-FREE-00999 freely available EZB journals</source><source>Alma/SFX Local Collection</source><creator>Lou, Xuming ; Dai, Xiaozhen ; Lou, Zhenkai</creator><contributor>Lin, Zhiyun ; Zhiyun Lin</contributor><creatorcontrib>Lou, Xuming ; Dai, Xiaozhen ; Lou, Zhenkai ; Lin, Zhiyun ; Zhiyun Lin</creatorcontrib><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.</description><identifier>ISSN: 1024-123X</identifier><identifier>EISSN: 1563-5147</identifier><identifier>DOI: 10.1155/2020/8954262</identifier><language>eng</language><publisher>Cairo, Egypt: Hindawi Publishing Corporation</publisher><subject>Competition ; Consumers ; Cooperation ; Energy ; Energy conservation ; Manufacturers ; Mathematical problems ; Pricing ; Revenue sharing ; Supply chains</subject><ispartof>Mathematical problems in engineering, 2020, Vol.2020 (2020), p.1-9</ispartof><rights>Copyright © 2020 Xuefeng Xia et al.</rights><rights>Copyright © 2020 Xuefeng Xia et al. This is an open access article distributed under the Creative Commons Attribution License (the “License”), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. http://creativecommons.org/licenses/by/4.0</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c279t-7d9e1713537d3b82ca8802387531a0302e32bfd6b7554eed72bcb412b1c725263</cites><orcidid>0000-0001-6130-0005 ; 0000-0002-2657-8308 ; 0000-0003-2433-266X</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,4024,27923,27924,27925</link.rule.ids></links><search><contributor>Lin, Zhiyun</contributor><contributor>Zhiyun Lin</contributor><creatorcontrib>Lou, Xuming</creatorcontrib><creatorcontrib>Dai, Xiaozhen</creatorcontrib><creatorcontrib>Lou, Zhenkai</creatorcontrib><title>Production and Pricing Strategies of Energy-Saving Products in the Presence of Duopolistic Manufacturers</title><title>Mathematical problems in engineering</title><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.</description><subject>Competition</subject><subject>Consumers</subject><subject>Cooperation</subject><subject>Energy</subject><subject>Energy conservation</subject><subject>Manufacturers</subject><subject>Mathematical problems</subject><subject>Pricing</subject><subject>Revenue sharing</subject><subject>Supply chains</subject><issn>1024-123X</issn><issn>1563-5147</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><sourceid>RHX</sourceid><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GNUQQ</sourceid><recordid>eNqF0N9LwzAQB_AiCs7pm89S8FHrkkvTpI-i8wdMHEzBt5Km1y1jpjNJlf33tnTgo0-5cJ-7g28UnVNyQynnEyBAJjLnKWRwEI0oz1jCaSoOu5pAmlBgH8fRifdrQoByKkfRau6aqtXBNDZWtornzmhjl_EiOBVwadDHTR1PLbrlLlmo7763H_GxsXFYYfdHj1ZjL-_bZttsjA9Gxy_KtrXSoXXo_Gl0VKuNx7P9O47eH6Zvd0_J7PXx-e52lmgQeUhElSMVlHEmKlZK0EpKAkwKzqgijAAyKOsqKwXnKWIloNRlSqGkWgCHjI2jy2Hv1jVfLfpQrJvW2e5kASkIoFLKtFPXg9Ku8d5hXWyd-VRuV1BS9FkWfZbFPsuOXw18ZWylfsx_-mLQ2Bms1Z8GQnPG2C-HYH1Q</recordid><startdate>2020</startdate><enddate>2020</enddate><creator>Lou, Xuming</creator><creator>Dai, Xiaozhen</creator><creator>Lou, Zhenkai</creator><general>Hindawi Publishing Corporation</general><general>Hindawi</general><general>Hindawi Limited</general><scope>ADJCN</scope><scope>AHFXO</scope><scope>RHU</scope><scope>RHW</scope><scope>RHX</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7TB</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>CWDGH</scope><scope>DWQXO</scope><scope>FR3</scope><scope>GNUQQ</scope><scope>HCIFZ</scope><scope>JQ2</scope><scope>K7-</scope><scope>KR7</scope><scope>L6V</scope><scope>M7S</scope><scope>P5Z</scope><scope>P62</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><orcidid>https://orcid.org/0000-0001-6130-0005</orcidid><orcidid>https://orcid.org/0000-0002-2657-8308</orcidid><orcidid>https://orcid.org/0000-0003-2433-266X</orcidid></search><sort><creationdate>2020</creationdate><title>Production and Pricing Strategies of Energy-Saving Products in the Presence of Duopolistic Manufacturers</title><author>Lou, Xuming ; Dai, Xiaozhen ; Lou, Zhenkai</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c279t-7d9e1713537d3b82ca8802387531a0302e32bfd6b7554eed72bcb412b1c725263</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Competition</topic><topic>Consumers</topic><topic>Cooperation</topic><topic>Energy</topic><topic>Energy conservation</topic><topic>Manufacturers</topic><topic>Mathematical problems</topic><topic>Pricing</topic><topic>Revenue sharing</topic><topic>Supply chains</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Lou, Xuming</creatorcontrib><creatorcontrib>Dai, Xiaozhen</creatorcontrib><creatorcontrib>Lou, Zhenkai</creatorcontrib><collection>الدوريات العلمية والإحصائية - e-Marefa Academic and Statistical Periodicals</collection><collection>معرفة - المحتوى العربي الأكاديمي المتكامل - e-Marefa Academic Complete</collection><collection>Hindawi Publishing Complete</collection><collection>Hindawi Publishing Subscription Journals</collection><collection>Hindawi Publishing Open Access</collection><collection>CrossRef</collection><collection>Mechanical &amp; Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science &amp; Engineering Collection</collection><collection>ProQuest Central (Alumni)</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies &amp; Aerospace Collection</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>Middle East &amp; Africa Database</collection><collection>ProQuest Central Korea</collection><collection>Engineering Research Database</collection><collection>ProQuest Central Student</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Computer Science Collection</collection><collection>Computer science database</collection><collection>Civil Engineering Abstracts</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>ProQuest advanced technologies &amp; aerospace journals</collection><collection>ProQuest Advanced Technologies &amp; Aerospace Collection</collection><collection>Publicly Available Content Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering collection</collection><jtitle>Mathematical problems in engineering</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Lou, Xuming</au><au>Dai, Xiaozhen</au><au>Lou, Zhenkai</au><au>Lin, Zhiyun</au><au>Zhiyun Lin</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Production and Pricing Strategies of Energy-Saving Products in the Presence of Duopolistic Manufacturers</atitle><jtitle>Mathematical problems in engineering</jtitle><date>2020</date><risdate>2020</risdate><volume>2020</volume><issue>2020</issue><spage>1</spage><epage>9</epage><pages>1-9</pages><issn>1024-123X</issn><eissn>1563-5147</eissn><abstract>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.</abstract><cop>Cairo, Egypt</cop><pub>Hindawi Publishing Corporation</pub><doi>10.1155/2020/8954262</doi><tpages>9</tpages><orcidid>https://orcid.org/0000-0001-6130-0005</orcidid><orcidid>https://orcid.org/0000-0002-2657-8308</orcidid><orcidid>https://orcid.org/0000-0003-2433-266X</orcidid><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier ISSN: 1024-123X
ispartof Mathematical problems in engineering, 2020, Vol.2020 (2020), p.1-9
issn 1024-123X
1563-5147
language eng
recordid cdi_proquest_journals_2427218884
source Wiley Online Library Open Access; EZB-FREE-00999 freely available EZB journals; Alma/SFX Local Collection
subjects Competition
Consumers
Cooperation
Energy
Energy conservation
Manufacturers
Mathematical problems
Pricing
Revenue sharing
Supply chains
title Production and Pricing Strategies of Energy-Saving Products in the Presence of Duopolistic Manufacturers
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-01T09%3A00%3A48IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Production%20and%20Pricing%20Strategies%20of%20Energy-Saving%20Products%20in%20the%20Presence%20of%20Duopolistic%20Manufacturers&rft.jtitle=Mathematical%20problems%20in%20engineering&rft.au=Lou,%20Xuming&rft.date=2020&rft.volume=2020&rft.issue=2020&rft.spage=1&rft.epage=9&rft.pages=1-9&rft.issn=1024-123X&rft.eissn=1563-5147&rft_id=info:doi/10.1155/2020/8954262&rft_dat=%3Cproquest_cross%3E2427218884%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2427218884&rft_id=info:pmid/&rfr_iscdi=true