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Incentives and Emission Responsibility Allocation in Supply Chains

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  • Sanjith Gopalakrishnan

    (Desautels Faculty of Management, McGill University, Montreal, Quebec H3A 1G5, Canada; Sauder School of Business, University of British Columbia, Vancouver, British Columbia V6T 1Z2, Canada)

  • Daniel Granot

    (Sauder School of Business, University of British Columbia, Vancouver, British Columbia V6T 1Z2, Canada)

  • Frieda Granot

    (Sauder School of Business, University of British Columbia, Vancouver, British Columbia V6T 1Z2, Canada)

  • Greys Sošić

    (Marshall School of Business, University of Southern California, Los Angeles, California 90089)

  • Hailong Cui

    (Marshall School of Business, University of Southern California, Los Angeles, California 90089; Carlson School of Management, University of Minnesota, Minneapolis, Minnesota 55455)

Abstract

Because greenhouse-gas (GHG) emissions from the supply chains of just the 2,500 largest global corporations account for more than 20% of global emissions, rationalizing emissions in supply chains could make an important contribution toward meeting the global CO 2 emission-reduction targets agreed upon in the 2015 Paris Climate Agreement. Accordingly, in this paper, we consider supply chains with joint production of GHG emissions, operating under either a carbon-tax regime, wherein a regulator levies a penalty on the emissions generated by the firms in the supply chain, or an internal carbon-pricing scheme. Supply chain leaders, such as Walmart, are assumed to be environmentally motivated to induce their suppliers to abate their emissions. We adopt a cooperative game-theory methodology to derive a footprint-balanced scheme for reapportioning the total carbon emissions amongst the firms in the supply chain. This emission responsibility-allocation scheme, which is the Shapley value of an associated cooperative game, is shown to have several desirable characteristics. In particular, (i) it is transparent and easy to compute; (ii) when the abatement-cost functions of the firms are private information, it incentivizes suppliers to exert pollution-abatement efforts that, among all footprint-balanced allocation schemes, minimize the maximum deviation from the socially optimal pollution level; and (iii) the Shapley value is the unique allocation mechanism satisfying certain contextually desirable properties.

Suggested Citation

  • Sanjith Gopalakrishnan & Daniel Granot & Frieda Granot & Greys Sošić & Hailong Cui, 2021. "Incentives and Emission Responsibility Allocation in Supply Chains," Management Science, INFORMS, vol. 67(7), pages 4172-4190, July.
  • Handle: RePEc:inm:ormnsc:v:67:y:2021:i:7:p:4172-4190
    DOI: 10.1287/mnsc.2020.3724
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    References listed on IDEAS

    as
    1. Ian W.H. Parry & Michael Toman, 2002. "Early Emission Reduction Programs: An Application to CO2 Policy," The Energy Journal, International Association for Energy Economics, vol. 0(Number 1), pages 73-95.
    2. Martin Kaae Jensen, 2018. "Distributional Comparative Statics," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 85(1), pages 581-610.
    3. Mingming Leng & Mahmut Parlar, 2009. "Allocation of Cost Savings in a Three-Level Supply Chain with Demand Information Sharing: A Cooperative-Game Approach," Operations Research, INFORMS, vol. 57(1), pages 200-213, February.
    4. Rodrigues, Joao & Domingos, Tiago & Giljum, Stefan & Schneider, Francois, 2006. "Designing an indicator of environmental responsibility," Ecological Economics, Elsevier, vol. 59(3), pages 256-266, September.
    5. David Malueg & Andrew Yates, 2009. "Bilateral Oligopoly, Private Information, and Pollution Permit Markets," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 43(4), pages 553-572, August.
    6. Astrid Kander & Magnus Jiborn & Daniel D. Moran & Thomas O. Wiedmann, 2015. "National greenhouse-gas accounting for effective climate policy on international trade," Nature Climate Change, Nature, vol. 5(5), pages 431-435, May.
    7. Nimrod Megiddo, 1978. "Computational Complexity of the Game Theory Approach to Cost Allocation for a Tree," Mathematics of Operations Research, INFORMS, vol. 3(3), pages 189-196, August.
    8. Lenzen, Manfred & Murray, Joy & Sack, Fabian & Wiedmann, Thomas, 2007. "Shared producer and consumer responsibility -- Theory and practice," Ecological Economics, Elsevier, vol. 61(1), pages 27-42, February.
    9. Felipe Caro & Charles J. Corbett & Tarkan Tan & Rob Zuidwijk, 2013. "Double Counting in Supply Chain Carbon Footprinting," Manufacturing & Service Operations Management, INFORMS, vol. 15(4), pages 545-558, October.
    10. Nagarajan, Mahesh & Sosic, Greys, 2008. "Game-theoretic analysis of cooperation among supply chain agents: Review and extensions," European Journal of Operational Research, Elsevier, vol. 187(3), pages 719-745, June.
    11. Sugato Bhattacharyya & Francine Lafontaine, 1995. "Double-Sided Moral Hazard and the Nature of Share Contracts," RAND Journal of Economics, The RAND Corporation, vol. 26(4), pages 761-781, Winter.
    12. Michael G. Luchs & Minu Kumar, 2017. "“Yes, but this Other One Looks Better/Works Better”: How do Consumers Respond to Trade-offs Between Sustainability and Other Valued Attributes?," Journal of Business Ethics, Springer, vol. 140(3), pages 567-584, February.
    13. S. C. Littlechild & G. Owen, 1973. "A Simple Expression for the Shapley Value in a Special Case," Management Science, INFORMS, vol. 20(3), pages 370-372, November.
    14. Charles J. Corbett & Gregory A. DeCroix, 2001. "Shared-Savings Contracts for Indirect Materials in Supply Chains: Channel Profits and Environmental Impacts," Management Science, INFORMS, vol. 47(7), pages 881-893, July.
    15. Milgrom, Paul & Roberts, John, 1990. "Rationalizability, Learning, and Equilibrium in Games with Strategic Complementarities," Econometrica, Econometric Society, vol. 58(6), pages 1255-1277, November.
    16. Battaglini, Marco, 2006. "Joint production in teams," Journal of Economic Theory, Elsevier, vol. 130(1), pages 138-167, September.
    17. Chonnikarn (Fern) Jira & Michael W. Toffel, 2013. "Engaging Supply Chains in Climate Change," Manufacturing & Service Operations Management, INFORMS, vol. 15(4), pages 559-577, October.
    18. Blanca Gallego & Manfred Lenzen, 2005. "A consistent input-output formulation of shared producer and consumer responsibility," Economic Systems Research, Taylor & Francis Journals, vol. 17(4), pages 365-391.
    19. Rodrigues, João & Domingos, Tiago, 2008. "Consumer and producer environmental responsibility: Comparing two approaches," Ecological Economics, Elsevier, vol. 66(2-3), pages 533-546, June.
    20. Sudhölter, Peter & Zarzuelo, José M., 2017. "Characterizations of highway toll pricing methods," European Journal of Operational Research, Elsevier, vol. 260(1), pages 161-170.
    21. Çiftçi, BarIs & Borm, Peter & Hamers, Herbert, 2010. "Highway games on weakly cyclic graphs," European Journal of Operational Research, Elsevier, vol. 204(1), pages 117-124, July.
    22. Pradeep Dubey, 1982. "The Shapley Value as Aircraft Landing Fees--Revisited," Management Science, INFORMS, vol. 28(8), pages 869-874, August.
    23. Daniel Granot & Greys Sošić, 2003. "A Three-Stage Model for a Decentralized Distribution System of Retailers," Operations Research, INFORMS, vol. 51(5), pages 771-784, October.
    24. Corbett, Charles J. & DeCroix, Gregory A. & Ha, Albert Y., 2005. "Optimal shared-savings contracts in supply chains: Linear contracts and double moral hazard," European Journal of Operational Research, Elsevier, vol. 163(3), pages 653-667, June.
    25. Plambeck, Erica L., 2012. "Reducing greenhouse gas emissions through operations and supply chain management," Energy Economics, Elsevier, vol. 34(S1), pages 64-74.
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