Document Zbl 07985175

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Oper. Res.</a> <a href="/?q=in%3A523898" title="Articles in this Issue">345, No. 1, 467-515 (2025)</a>. </div> <div class="abstract">Summary: Facing consumers’ growing environmental consciousness, retailers need to consider the environmental consequences when choosing between e-commerce and traditional retailing. We develop a game-theoretic model to study the retailers’ channel selection problem in the presence of consumer environmental consciousness in both monopoly and duopoly settings. We find that even though the existence of consumer environmental consciousness drives the retailer toward more eco-friendly channel strategies, there exist conditions under which the retailer’s optimal channel strategy is still misaligned with environmental and social interests. Furthermore, we show that an increase in consumers’ consciousness, though seemingly reducing consumer utility, can in fact be welfare-enhancing. A reduction in the unit environmental impact of a channel (traditional or e-commerce), on the other hand, may lead to lower social welfare due to the retailer’s insubstantial carbon abatement. Finally, contrary to the conventional wisdom that competition tends to increase social welfare, we show that with consumers’ environmental consciousness, retail competition may result in social welfare decline. Our policy implication is that even though the presence of environmentally conscious consumers pushes firms to internalize the environmental consequences of their channel strategies, environmental regulations are still necessary to achieve social welfare maximization.</div> <div class="clear"></div> <div class="classification"> <h3>MSC:</h3> <table><tr> <td> <a class="mono" href="/classification/?q=cc%3A90B06" title="MSC2020">90B06</a> </td> <td class="space"> Transportation, logistics and supply chain management </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A90B05" title="MSC2020">90B05</a> </td> <td class="space"> Inventory, storage, reservoirs </td> </tr></table> </div><div class="keywords"> <h3>Keywords:</h3><a href="/?q=ut%3Amulti-channel+retailing">multi-channel retailing</a>; <a href="/?q=ut%3Ae-commerce">e-commerce</a>; <a href="/?q=ut%3Aconsumer+environmental+consciousness">consumer environmental consciousness</a>; <a href="/?q=ut%3Achannel+selection">channel selection</a></div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 07985175" data-ciurl="/ci/07985175" data-biburl="/bibtex/07985175.bib" data-amsurl="/amsrefs/07985175.bib" data-xmlurl="/xml/07985175.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07985175.pdf" title="Zbl 07985175 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s10479-024-06454-y" aria-label="DOI for “Multi-channel retailing and consumers' environmental consciousness”" title="10.1007/s10479-024-06454-y">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> <div class="references"> <h3>References:</h3> <table><tr> <td>[1]</td> <td class="space">Acosta (2021), Acosta research shows 65</td> </tr><tr> <td>[2]</td> <td class="space">Balasubramanian, S., Mail versus mall: A strategic analysis of competition between direct marketers and conventional retailers, Marketing Science, 17, 3, 181-195, 1998</td> </tr><tr> <td>[3]</td> <td class="space">Bansal, B. (2023), Has the demand for purchasing vehicles from offline vs. online channels changed since 2022? https://business.yougov.com/content/47330-has-the-demand-for-purchasing-vehicles-from-offline-vs-online-channels-changed-since-2022, last accessed: June 10, 2024.</td> </tr><tr> <td>[4]</td> <td class="space">Brouwer, R.; Brander, L.; Van Beukering, P., ‘A convenient truth’: Air travel passengers’ willingness to pay to offset their CO2 emissions, Climate Change, 90, 3, 299-313, 2008</td> </tr><tr> <td>[5]</td> <td class="space">Cai, G., Channel selection and coordination in dual-channel supply chains, Journal of Retailing, 86, 1, 22-36, 2010</td> </tr><tr> <td>[6]</td> <td class="space">Carrillo, JE; Vakharia, AJ; Wang, R., Environmental implications for online retailing, European Journal of Operational Research, 239, 3, 744-755, 2014 · <a href="/1339.90044" class="nowrap">Zbl 1339.90044</a></td> </tr><tr> <td>[7]</td> <td class="space">Changing Markets Foundation (2021), Fashion industry addicted to greenwashing and fossil-fuel based synthetics. https://changingmarkets.org/wp-content/uploads/2021/06/SYNTHETICS-ANONYMOUS-PRESS-RELEASE-UK.pdf, last accessed: February 22, 2024.</td> </tr><tr> <td>[8]</td> <td class="space">Chen, ZS; Wu, S.; Govindan, K.; Wang, XJ; Chin, KS; L. Mart ́ıınez,, Optimal pricing decision in a multi-channel supply chain with a revenue-sharing contract, Annals of Operations Research, 318, 67-102, 2022 · <a href="/1502.90018" class="nowrap">Zbl 1502.90018</a></td> </tr><tr> <td>[9]</td> <td class="space">Chiang, WK; Chhajed, D.; Hess, JD, Direct marketing, indirect profits: A strategic analysis of dual- channel supply-chain design, Management Science, 49, 1, 1-20, 2003 · <a href="/1232.90231" class="nowrap">Zbl 1232.90231</a></td> </tr><tr> <td>[10]</td> <td class="space">Diederich, J.; Goeschl, T., Willingness to pay for voluntary climate action and its determinants: Field-experimental evidence, Environmental and Resource Economics, 57, 3, 405-429, 2014</td> </tr><tr> <td>[11]</td> <td class="space">Dost, F.; Maier, E., E-commerce effects on energy consumption: A multi-year ecosystem-level assessment, Journal of Industrial Ecology, 22, 4, 799-812, 2017</td> </tr><tr> <td>[12]</td> <td class="space">Edwards, JB; McKinnon, AC; Cullinane, SL, Comparative analysis of the carbon footprints of conventional and online retailing: A ‘Last Mile’ Perspective, International Journal of Physical Distribution & Logistics Management, 40, 1-2, 103-123, 2010</td> </tr><tr> <td>[13]</td> <td class="space">Fichter, K., E-commerce: Sorting out the environmental consequences, Journal of Industrial Ecology, 6, 2, 25-41, 2003</td> </tr><tr> <td>[14]</td> <td class="space">Gao, F., Cause marketing: Product pricing, design and distribution, Manufacturing & Service Operations Management, 22, 4, 775-791, 2020</td> </tr><tr> <td>[15]</td> <td class="space">Gao, F.; Souza, G., Carbon Offsetting with Eco-Conscious Consumers, Management Science, 68, 11, 7879-7897, 2022</td> </tr><tr> <td>[16]</td> <td class="space">Gao, F.; Su, X., Online and offline information for omnichannel retailing, Manufacturing & Service Operations Management, 19, 1, 84-98, 2016</td> </tr><tr> <td>[17]</td> <td class="space">Gąsior, M., Environmental attitudes and willingness to purchase online—classification approach, Sustainability, 13, 15, 8592, 2021</td> </tr><tr> <td>[18]</td> <td class="space">Gauri, DK; Jindal, RP; Ratchford, B.; Fox, E.; Bhatnagar, A.; Pandey, A.; Navallo, JR; Fogarty, J.; Carr, S.; Howerton, E., Evolution of retail formats: Past, present, and future, Journal of Retailing, 97, 1, 42-61, 2021</td> </tr><tr> <td>[19]</td> <td class="space">Golob, U.; Kronegger, L., Environmental consciousness of European consumers: A segmentation-based study, Journal of Cleaner Production, 221, 1-9, 2019</td> </tr><tr> <td>[20]</td> <td class="space">Hausman, J.; Leibtag, E., Consumer benefits from increased competition in shopping outlets: Measuring the effect of Wal-Mart, Journal of Applied Economics, 22, 1157-1177, 2007</td> </tr><tr> <td>[21]</td> <td class="space">He, P.; He, Y.; Xu, H., Channel structure and pricing in a dual-channel closed-loop supply chain with government subsidy, International Journal of Production Economics, 213, 108-123, 2019</td> </tr><tr> <td>[22]</td> <td class="space">He, P.; He, Y.; Zhou, L., Channel strategies for dual-channel firms to counter strategic consumers, Journal of Retailing and Consumer Services, 70, 2023</td> </tr><tr> <td>[23]</td> <td class="space">Hiselius, LW; Rosqvist, LS; Adell, E., Travel behaviour of online shoppers in Sweden, Transport and Telecommunication, 16, 1, 21-30, 2015</td> </tr><tr> <td>[24]</td> <td class="space">Hsiao, L.; Chen, Y-J, Strategic motive for introducing Internet channels in a supply chain, Production and Operations Management, 23, 1, 36-47, 2014</td> </tr><tr> <td>[25]</td> <td class="space">IBM Institute for Business Value (2020), Meet the 2020 consumers driving change. Why brands must deliver on omnipresence, agility, and sustainability. https://www.ibm.com/thought-leadership/institute-business-value/report/consumer-2020, last accessed: February 22, 2024.</td> </tr><tr> <td>[26]</td> <td class="space">Jaller, M.; Pahwa, A., Evaluating the environmental impacts of online shopping: A behavioral and transportation approach, Transportation Research Part D: Transport and Environment, 80, 2020</td> </tr><tr> <td>[27]</td> <td class="space">Ji, J.; Zhang, Z.; Yang, L., Carbon emission reduction decisions in the retail-/dual-channel supply chain with consumers’ preference, Journal of Cleaner Production, 141, 852-867, 2017</td> </tr><tr> <td>[28]</td> <td class="space">Jo, Y., Matsumura, M., & Weinstein, D. E. (2022) The impact of retail E-commerce on relative prices and consumer welfare, The Review of Economics and Statistics, 1-45.</td> </tr><tr> <td>[29]</td> <td class="space">Keane, D. (2020) PACK IT IN shoppers say Amazon, eBay and Tesco are among the worst offenders for using excess packaging, https://www.the-sun.com/lifestyle/consumer/1999972/amazon-ebay-tesco-worst-excess-packaging/, last accessed: February 22, 2024.</td> </tr><tr> <td>[30]</td> <td class="space">Kim, E.; Lyon, TP, Greenwash vs. Brownwash: Exaggeration and undue modesty in corporate sustainability disclosure, Organization Science, 26, 3, 705-723, 2014</td> </tr><tr> <td>[31]</td> <td class="space">der Landwehr, M. A., Trott, M., & von Viebahn, C. (2019), “E-grocery in terms of sustainability - Simulating the environmental impact of grocery shopping for an urban area in Hanover,” Simulation in Produktion und Logistik.</td> </tr><tr> <td>[32]</td> <td class="space">Li, B.; Zhu, M.; Jiang, Y.; Li, Z., Pricing policies of a competitive dual-channel green supply chain, Journal of Cleaner Production, 112, 3, 2029-2042, 2016</td> </tr><tr> <td>[33]</td> <td class="space">Li, J.; Liang, J.; Shi, V.; Zhu, J., The benefit of manufacturer encroachment considering consumer’s environmental awareness and product competition, Annals of Operations Research, 2021 · <a href="https://doi.org/10.1007/s10479-021-04185-y" class="nowrap">doi:10.1007/s10479-021-04185-y</a></td> </tr><tr> <td>[34]</td> <td class="space">Li, J.; Hu, Z.; Shi, V.; Wang, Q., Manufacturer’s encroachment strategy with substitutable green products, International Journal of Production Economics, 235, 2021</td> </tr><tr> <td>[35]</td> <td class="space">Li, J.; Wang, H.; Shi, V.; Sun, Q., Manufacturer’s choice of online selling format in a dual-channel supply chain with green products, European Journal of Operational Research, 318, 131-142, 2024</td> </tr><tr> <td>[36]</td> <td class="space">Liu, G.; Li, Z.; Chen, J., Dual-Channel decisions under blockchain and returns, Discrete Dynamics in Nature and Society, 2023, 1, 5567263, 2023</td> </tr><tr> <td>[37]</td> <td class="space">MacKerron, G.; Egerton, C.; Gaskell, C.; Parpia, A.; Mourato, S., Willingness to pay for carbon offset certification and co-benefits among (high) flying young adults in the UK, Energy Policy, 37, 4, 1372-1381, 2009</td> </tr><tr> <td>[38]</td> <td class="space">Mangiaracina, R.; Marchet, G.; Perotti, S.; Tumino, A., A review of the environmental implications of B2C e-commerce: A logistics perspective, International Journal of Physical Distribution & Logistics Management, 45, 6, 565-591, 2015</td> </tr><tr> <td>[39]</td> <td class="space">Matthews, HS; Hendrickson, CT; Soh, DL, Environmental and economic effects of e-commerce: A case study of book publishing and retail logistics, Transportation Research Record, 1763, 1, 6-12, 2001</td> </tr><tr> <td>[40]</td> <td class="space">Nie, J.; Zhong, L.; Yan, H.; Yang, W., Retailers’ distribution channel strategies with cross-channel effect in a competitive market, International Journal of Production Economics, 213, 32-45, 2019</td> </tr><tr> <td>[41]</td> <td class="space">Ofek, E.; Katona, Z.; Sarvary, M., ‘Bricks and clicks’: The impact of product returns on the strategies of multichannel retailers, Marketing Science, 30, 1, 42-60, 2011</td> </tr><tr> <td>[42]</td> <td class="space">Pålsson, H.; Pettersson, F.; Hiselius, LW, Energy consumption in e-commerce versus conventional trade channels - Insights into packaging, the last mile, unsold products and product returns, Journal of Cleaner Production, 164, 765-778, 2017</td> </tr><tr> <td>[43]</td> <td class="space">Pintu, A. (2023) Online vs. Offline: Choosing the Right Sales Channels for Your Home Business, https://medium.com/@arialwis21/online-vs-offline-choosing-the-right-sales-channels-for-your-home-business-8c45c7487f34, last accessed: June 10, 2024.</td> </tr><tr> <td>[44]</td> <td class="space">Prasertwit, T., & Kanchanasuntorn, K. (2021), Preliminary study of environmental impact related to e-commerce activities in Thailand, In: E3S Web of Conferences.</td> </tr><tr> <td>[45]</td> <td class="space">Primark (2022), Our famous paper bags, https://www.primark.com/en/the-edit/women/our-famous-paper-bags/a/a2488fb3-0171-45c0-ab92-d003ebad5e9b, last accessed: March 31, 2022.</td> </tr><tr> <td>[46]</td> <td class="space">Pu, X.; Sun, S.; Shao, J., Direct selling, reselling, or agency selling? Manufacturer’s online distribution strategies and their impact, International Journal of Electronic Commerce, 24, 2, 232-254, 2020</td> </tr><tr> <td>[47]</td> <td class="space">Shahmohammadi, S.; Steinmann, ZJN; Tambjerg, L.; van Loon, P.; King, JMH; Huijbregts, MAJ, Comparative greenhouse gas footprinting of online versus traditional shopping for fast-moving consumer goods: A stochastic approach, Environmental Science Technology, 54, 6, 3499-3509, 2020</td> </tr><tr> <td>[48]</td> <td class="space">Siikavirta, H.; Punakivi, M.; Kärkkäinen, M.; Linnainen, L., Effects of e-commerce on greenhouse gas emissions: A case study of grocery home delivery in Finland, Journal of Industrial Ecology, 6, 2, 83-97, 2003</td> </tr><tr> <td>[49]</td> <td class="space">Siragusa, C., Mangiaracina, R., & Tumino, A. (2020) Environmental sustainability in B2C e-commerce: The impact of multiitem shopping, Institute of Business Logistics and General Management.</td> </tr><tr> <td>[50]</td> <td class="space">Sivaraman, D.; Pacca, S.; Mueller, K.; Lin, J., Comparative energy, environmental, and economic analysis of traditional and e-commerce DVD rental networks, Journal of Industrial Ecology, 11, 3, 77-91, 2007</td> </tr><tr> <td>[51]</td> <td class="space">Song, C.; Xu, B.; Xu, L., Dual-channel supply chain pricing decisions for low-carbon consumers: A review, Journal of Intelligent Management Decision, 2, 2, 57-65, 2023</td> </tr><tr> <td>[52]</td> <td class="space">Tao, F.; Zhou, Y.; Bian, J.; Lai, KK, Optimal channel structure for a green supply chain with consumer green-awareness demand, Annals of Operations Research, 324, 601-628, 2023 · <a href="/1518.90005" class="nowrap">Zbl 1518.90005</a></td> </tr><tr> <td>[53]</td> <td class="space">Tao, F.; Zhou, Y.; Bian, J.; Lai, KK, Agency selling or reselling? Channel selection of green products with consumer environmental awareness, International Journal of Logistics Research and Applications, 27, 2, 326-345, 2024</td> </tr><tr> <td>[54]</td> <td class="space">The White House (2021), Fact sheet: President Biden sets 2030 greenhouse gas pollution reduction target aimed at creating good-paying union jobs and securing U.S. leadership on clean energy technologies. https://www.whitehouse.gov/briefing-room/statements-releases/2021/04/22/fact-sheet-president-biden-sets-2030-greenhouse-gas-pollution-reduction-target-aimed-at-creating-good-paying-union-jobs-and-securing-u-s-leadership-on-clean-energy-technologies/, last accessed: February 22, 2024.</td> </tr><tr> <td>[55]</td> <td class="space">Velásquez, M.; Ahmad, A.; Bliemel, M.; Imam, MH, Online vs. Offline movie rental: A comparative study of carbon footprints, Global Business and Management Research: An International Journal, 2, 1, 1-12, 2010</td> </tr><tr> <td>[56]</td> <td class="space">Walmart Sustainability Hub (2021), Walmart Project Gigaton. https://www.walmartsustainabilityhub.com/climate/project-gigaton, last accessed: February 22, 2024.</td> </tr><tr> <td>[57]</td> <td class="space">Weber, C.L., Hendrickson, C.T., Matthews, H.S., Nagengast, A., Nealer, R., & Jaramillo, P. (2008) Life cycle comparison of traditional retail and e-commerce logistics for electronic products: A case study of buy.com, Sustainable Systems and Technology.</td> </tr><tr> <td>[58]</td> <td class="space">Weltevreden, JWJ; Rotem-Mindali, O., Mobility effects of B2C and C2C e-commerce in the Netherlands: A quantitative assessment, Journal of Transport Geography, 17, 2, 83-92, 2009</td> </tr><tr> <td>[59]</td> <td class="space">Wen, D.; Xiao, T.; Dastani, M., Channel choice for an independent remanufacturer considering environmentally responsible consumers, International Journal of Production Economics, 232, 2021</td> </tr><tr> <td>[60]</td> <td class="space">Wiese, A.; Toporowski, W.; Zielke, S., Transport-related CO2 effects of online and brick-and-mortar shopping: A comparison and sensitivity analysis of clothing retailing, Transportation Research Part D: Transport and Environment, 17, 6, 473-477, 2012</td> </tr><tr> <td>[61]</td> <td class="space">Williams, E.; Tagami, T., Energy use in sales and distribution via e-commerce and conventional retail: A case study of the Japanese book sector, Journal of Industrial Ecology, 6, 2, 99-114, 2002</td> </tr><tr> <td>[62]</td> <td class="space">Xia, Y.; Shang, R.; Wei, M.; Wei, Z., Optimal pricing and financing decision of dual-channel green supply chain considering product differentiation and blockchain, Annals of Operations Research, 338, 1317-1358, 2024 · <a href="/1545.90036" class="nowrap">Zbl 1545.90036</a></td> </tr><tr> <td>[63]</td> <td class="space">Xie, J.; Liu, J.; Huo, X.; Meng, Q.; Chu, M., Fresh food dual-channel supply chain considering consumers’ low-carbon and freshness preferences, Sustainability, 13, 11, 6445, 2021</td> </tr><tr> <td>[64]</td> <td class="space">Xu, Y.; Wang, J.; Cao, K., Dynamic joint strategy of channel encroachment and logistics choice considering trade-in service and strategic consumers, Transportation Research Part E: Logistics and Transportation Review, 185, 2024</td> </tr><tr> <td>[65]</td> <td class="space">Yan, P., Jun, P., Ya, Z., & Panos, M.P. (2021), When platform exploits data analysis advantage: change of OEM-led supply chain structure, Annals of Operations Research, 1-27. · <a href="/1547.90015" class="nowrap">Zbl 1547.90015</a></td> </tr><tr> <td>[66]</td> <td class="space">Yang, L.; Ji, J.; Wang, M.; Wang, Z., The manufacturer’s joint decisions of channel selections and carbon emission reductions under the cap-and-trade regulation, Journal of Cleaner Production, 193, 506-523, 2018</td> </tr><tr> <td>[67]</td> <td class="space">Yang, D.; Xiao, T.; Huang, J., Dual-channel structure choice of an environmental responsibility supply chain with green investment, Journal of Cleaner Production, 210, 134-145, 2019</td> </tr><tr> <td>[68]</td> <td class="space">Yang, Z.; Li, X.; Sun, Y.; Lin, Y.; Chen, D., Can online-shopping achieve the goal of reducing CO2 emissions? Evidence from China, Transportation Research Part D: Transport and Environment, 134, 2024</td> </tr><tr> <td>[69]</td> <td class="space">Yoo, WS; Lee, E., Internet channel entry: A strategic analysis of mixed channel structures, Marketing Science, 30, 1, 29-41, 2011</td> </tr><tr> <td>[70]</td> <td class="space">Zhang, J.; Wu, D., Equilibrium analysis in dual-channels supply chain with dominant e-tailers, Annals of Operations Research, 332, 1, 1133-1153, 2024 · <a href="/1546.90035" class="nowrap">Zbl 1546.90035</a></td> </tr><tr> <td>[71]</td> <td class="space">Zhang, C.; Zheng, X., Customization strategies between online and offline retailers, Omega, 100, 2021</td> </tr><tr> <td>[72]</td> <td class="space">Zhao, Q.; Jin, J.; Deng, X.; Wang, D., Considering environmental implications of distribution channel choices: A comparative study based on game theory, Journal of Cleaner Production, 167, 1155-1164, 2017</td> </tr><tr> <td>[73]</td> <td class="space">Zhao, Y.; Wu, G.; Gong, Y.; Yang, M.; Ni, H., Environmental benefits of electronic commerce over the conventional retail trade? A case study in Shenzhen, China, Science of the Total Environment, 679, 378-386, 2019</td> </tr></table> <div class="reference_disclaimer"> This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. 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