{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,8]],"date-time":"2026-07-08T09:02:26Z","timestamp":1783501346846,"version":"3.55.0"},"reference-count":34,"publisher":"EDP Sciences","issue":"2","license":[{"start":{"date-parts":[[2024,4,12]],"date-time":"2024-04-12T00:00:00Z","timestamp":1712880000000},"content-version":"vor","delay-in-days":42,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"}],"funder":[{"name":"Jiangsu University Philosophy and Social Science Research Project","award":["2021SJA1410"],"award-info":[{"award-number":["2021SJA1410"]}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["72271141"],"award-info":[{"award-number":["72271141"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Youth Innovation Science and Technology Support Program of Shandong Province Higher Education","award":["2021RW024"],"award-info":[{"award-number":["2021RW024"]}]},{"name":"Changshu Philosophy Society Application Research Project","award":["Cs202367"],"award-info":[{"award-number":["Cs202367"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["RAIRO-Oper. Res."],"accepted":{"date-parts":[[2024,2,11]]},"published-print":{"date-parts":[[2024,3]]},"abstract":"<jats:p>To reduce carbon emissions, many countries and regions have implemented carbon cap-and-trade regulation. The main objective of this paper is to explore the economic and environmental impacts of carbon cap-and-trade regulation on two competing supply chains. This paper considers two cases: (i) in the absence of cap-and-trade regulation and (ii) with carbon cap-and-trade regulation. For each case, there are three structures: centralized-centralized (C-C) structure, decentralized-decentralized (D-D) structure, and hybrid centralized-decentralized (C-D) structure. First, this paper analyzes the optimal pricing decisions of two competing supply chains for the two cases, and then explores the impacts of cap-and-trade regulation on the sale price, market demand, economy (include enterprise profits and consumer surplus), environment (<jats:italic>i.e<\/jats:italic>., carbon emission) and total social welfare. Finally, numerical examples are provided to illustrate the theoretical results. By comparing the two cases, the main conclusions are as follows: (i) cap-and-trade regulation leads to the increase of unit price and the decrease of the market demand, (ii) cap-and-trade regulation leads to the reduction of both carbon emission and the consumer surplus, (iii) the impacts of cap-and-trade regulation on the profit and social welfare depend on the carbon cap.<\/jats:p>","DOI":"10.1051\/ro\/2024040","type":"journal-article","created":{"date-parts":[[2024,2,13]],"date-time":"2024-02-13T09:07:46Z","timestamp":1707815266000},"page":"1653-1680","source":"Crossref","is-referenced-by-count":4,"title":["Comparison of competing supply chains with different structures under cap-and-trade regulation"],"prefix":"10.1051","volume":"58","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-9191-5980","authenticated-orcid":false,"given":"Yuyu","family":"Chen","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Qingguo","family":"Bai","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4413-8063","authenticated-orcid":false,"given":"Jianteng","family":"Xu","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"250","published-online":{"date-parts":[[2024,4,12]]},"reference":[{"key":"R1","doi-asserted-by":"crossref","first-page":"83","DOI":"10.1016\/j.ijpe.2018.11.008","volume":"208","author":"Bai","year":"2019","journal-title":"Int. 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