IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v264y2018i1p239-256.html
   My bibliography  Save this article

A principal–agent problem with heterogeneous demand distributions for a carbon capture and storage system

Author

Listed:
  • Cai, W.
  • Singham, D.I.

Abstract

Mechanism design problems optimize contract offerings from a principal to different types of agents who have private information about their demands for a product or a service. We study the implications of uncertainty in agents’ demands on the principal’s contracts. Specifically, we consider the setting where agents’ demands follow heterogeneous distributions and the principal offers a menu of contracts stipulating quantities and transfer payments for each demand distribution. We present analytical solutions for the special case when there are two distributions each taking two discrete values, as well as a method for deriving analytical solutions from numerical solutions. We describe one application of the model in carbon capture and storage systems to demonstrate various types of optimal solutions and to obtain managerial insights.

Suggested Citation

  • Cai, W. & Singham, D.I., 2018. "A principal–agent problem with heterogeneous demand distributions for a carbon capture and storage system," European Journal of Operational Research, Elsevier, vol. 264(1), pages 239-256.
  • Handle: RePEc:eee:ejores:v:264:y:2018:i:1:p:239-256
    DOI: 10.1016/j.ejor.2017.06.009
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377221717305271
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.ejor.2017.06.009?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Sang-Hyun Kim & Morris A. Cohen & Serguei Netessine & Senthil Veeraraghavan, 2010. "Contracting for Infrequent Restoration and Recovery of Mission-Critical Systems," Management Science, INFORMS, vol. 56(9), pages 1551-1567, September.
    2. J. A. Mirrlees, 1999. "The Theory of Moral Hazard and Unobservable Behaviour: Part I," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 66(1), pages 3-21.
    3. J. Miguel Villas-Boas, 2004. "Communication Strategies and Product Line Design," Marketing Science, INFORMS, vol. 23(3), pages 304-316, January.
    4. Jewitt, Ian, 1988. "Justifying the First-Order Approach to Principal-Agent Problems," Econometrica, Econometric Society, vol. 56(5), pages 1177-1190, September.
    5. Grossman, Sanford J & Hart, Oliver D, 1983. "An Analysis of the Principal-Agent Problem," Econometrica, Econometric Society, vol. 51(1), pages 7-45, January.
    6. Gregory Dobson & Shlomo Kalish, 1988. "Positioning and Pricing a Product Line," Marketing Science, INFORMS, vol. 7(2), pages 107-125.
    7. Holmstrom, Bengt & Milgrom, Paul, 1987. "Aggregation and Linearity in the Provision of Intertemporal Incentives," Econometrica, Econometric Society, vol. 55(2), pages 303-328, March.
    8. repec:dau:papers:123456789/5371 is not listed on IDEAS
    9. Eric Maskin & John Riley, 1984. "Monopoly with Incomplete Information," RAND Journal of Economics, The RAND Corporation, vol. 15(2), pages 171-196, Summer.
    10. Ayong Le Kama, Alain & Fodha, Mouez & Lafforgue, Gilles, 2009. "Optimal Carbon Capture and Storage Policies," TSE Working Papers 09-095, Toulouse School of Economics (TSE).
    11. Holly Lutze & Özalp Özer, 2008. "Promised Lead-Time Contracts Under Asymmetric Information," Operations Research, INFORMS, vol. 56(4), pages 898-915, August.
    12. Özalp Özer & Wei Wei, 2006. "Strategic Commitments for an Optimal Capacity Decision Under Asymmetric Forecast Information," Management Science, INFORMS, vol. 52(8), pages 1238-1257, August.
    13. Kemp, Alexander G. & Sola Kasim, A., 2010. "A futuristic least-cost optimisation model of CO2 transportation and storage in the UK/UK Continental Shelf," Energy Policy, Elsevier, vol. 38(7), pages 3652-3667, July.
    14. Alain Ayong Le Kama & Mouez Fodha & LAFFORGUE Gilles, 2009. "Optimal Carbon Capture and Storage policies," LERNA Working Papers 09.24.300, LERNA, University of Toulouse.
    15. Andy A. Tsay, 1999. "The Quantity Flexibility Contract and Supplier-Customer Incentives," Management Science, INFORMS, vol. 45(10), pages 1339-1358, October.
    16. Aadhaar Chaturvedi & Victor Martínez-de-Albéniz, 2011. "Optimal Procurement Design in the Presence of Supply Risk," Manufacturing & Service Operations Management, INFORMS, vol. 13(2), pages 227-243, May.
    17. Ananth V. Iyer & Leroy B. Schwarz & Stefanos A. Zenios, 2005. "A Principal-Agent Model for Product Specification and Production," Management Science, INFORMS, vol. 51(1), pages 106-119, January.
    18. Cai, W. & Singham, D.I. & Craparo, E.M. & White, J.A., 2014. "Pricing Contracts Under Uncertainty in a Carbon Capture and Storage Framework," Energy Economics, Elsevier, vol. 43(C), pages 56-62.
    19. Elmar Kriegler & John Weyant & Geoffrey Blanford & Volker Krey & Leon Clarke & Jae Edmonds & Allen Fawcett & Gunnar Luderer & Keywan Riahi & Richard Richels & Steven Rose & Massimo Tavoni & Detlef Vuu, 2014. "The role of technology for achieving climate policy objectives: overview of the EMF 27 study on global technology and climate policy strategies," Climatic Change, Springer, vol. 123(3), pages 353-367, April.
    20. Frederick Ploeg & Cees Withagen, 2014. "Growth, Renewables, And The Optimal Carbon Tax," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 55, pages 283-311, February.
    21. Carlier, G. & Dana, R.-A., 2005. "Existence and monotonicity of solutions to moral hazard problems," Journal of Mathematical Economics, Elsevier, vol. 41(7), pages 826-843, November.
    22. John R. Conlon, 2009. "Two New Conditions Supporting the First-Order Approach to Multisignal Principal-Agent Problems," Econometrica, Econometric Society, vol. 77(1), pages 249-278, January.
    23. Gérard P. Cachon & Martin A. Lariviere, 1999. "Capacity Choice and Allocation: Strategic Behavior and Supply Chain Performance," Management Science, INFORMS, vol. 45(8), pages 1091-1108, August.
    24. Klokk, Ø. & Schreiner, P.F. & Pagès-Bernaus, A. & Tomasgard, A., 2010. "Optimizing a CO2 value chain for the Norwegian Continental Shelf," Energy Policy, Elsevier, vol. 38(11), pages 6604-6614, November.
    25. Norde, Henk & Özen, Ulaş & Slikker, Marco, 2016. "Setting the right incentives for global planning and operations," European Journal of Operational Research, Elsevier, vol. 253(2), pages 441-455.
    26. Bin Liu & Gangshu (George) Cai & Andy A. Tsay, 2014. "Advertising in Asymmetric Competing Supply Chains," Production and Operations Management, Production and Operations Management Society, vol. 23(11), pages 1845-1858, November.
    27. Zhibin (Ben) Yang & Göker Ayd{i}n & Volodymyr Babich & Damian R. Beil, 2009. "Supply Disruptions, Asymmetric Information, and a Backup Production Option," Management Science, INFORMS, vol. 55(2), pages 192-209, February.
    28. Gérard P. Cachon & Fuqiang Zhang, 2006. "Procuring Fast Delivery: Sole Sourcing with Information Asymmetry," Management Science, INFORMS, vol. 52(6), pages 881-896, June.
    29. Page, F H, Jr, 1991. "Optimal Contract Mechanisms for Principal-Agent Problems with Moral Hazard and Adverse Selection," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 1(4), pages 323-338, October.
    30. Gan, Xianghua & Sethi, Suresh P. & Zhou, Jing, 2010. "Commitment-penalty contracts in drop-shipping supply chains with asymmetric demand information," European Journal of Operational Research, Elsevier, vol. 204(3), pages 449-462, August.
    31. Subramanian Balachander & Kannan Srinivasan, 1994. "Selection of Product Line Qualities and Prices to Signal Competitive Advantage," Management Science, INFORMS, vol. 40(7), pages 824-841, July.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Herui Cui & Tian Zhao & Ruirui Wu, 2018. "An Investment Feasibility Analysis of CCS Retrofit Based on a Two-Stage Compound Real Options Model," Energies, MDPI, vol. 11(7), pages 1-19, July.
    2. Zhao, Tian & Liu, Zhixin, 2019. "A novel analysis of carbon capture and storage (CCS) technology adoption: An evolutionary game model between stakeholders," Energy, Elsevier, vol. 189(C).
    3. Lennart C. Johnsen & Abdolkarim Sadrieh & Guido Voigt, 2021. "Short‐term vs. Long‐term Contracting: Empirical Assessment of the Ratchet Effect in Supply Chain Interaction," Production and Operations Management, Production and Operations Management Society, vol. 30(7), pages 2252-2272, July.
    4. Hua Xiao & Tong Xu & Huyang Xu & Yong Lin & Manjing Sun & Manyi Tan, 2022. "Production Capacity Reserve Strategy of Emergency Medical Supplies: Incentive Model for Nonprofit Organizations," Sustainability, MDPI, vol. 14(18), pages 1-16, September.
    5. Ouyang, Yiling & Guo, Jian, 2022. "Carbon capture and storage investment strategy towards the dual carbon goals," Journal of Asian Economics, Elsevier, vol. 82(C).
    6. Jian Li & Kin Keung Lai, 2023. "The abatement contract for low-carbon demand in supply chain with single and multiple abatement mechanism under asymmetric information," Annals of Operations Research, Springer, vol. 324(1), pages 437-459, May.
    7. Tsionas, Mike G. & Mamatzakis, Emmanuel & Ongena, Steven, 2020. "Does risk aversion affect bank output loss? The case of the Eurozone," European Journal of Operational Research, Elsevier, vol. 282(3), pages 1127-1145.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Wenbo Cai & Ying-Ju Chen, 2017. "Channel management and product design with consumers’ probabilistic choices," International Journal of Production Research, Taylor & Francis Journals, vol. 55(3), pages 904-923, February.
    2. Fagart, Marie-Cécile & Fluet, Claude, 2013. "The first-order approach when the cost of effort is money," Journal of Mathematical Economics, Elsevier, vol. 49(1), pages 7-16.
    3. Rongzhu Ke & Xinyi Xu, 2023. "The existence of an optimal deterministic contract in moral hazard problems," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 76(2), pages 375-416, August.
    4. Balmaceda, Felipe & Balseiro, Santiago R. & Correa, José R. & Stier-Moses, Nicolás E., 2016. "Bounds on the welfare loss from moral hazard with limited liability," Games and Economic Behavior, Elsevier, vol. 95(C), pages 137-155.
    5. Kadan, Ohad & Swinkels, Jeroen M., 2013. "On the moral hazard problem without the first-order approach," Journal of Economic Theory, Elsevier, vol. 148(6), pages 2313-2343.
    6. Gao, Long, 2015. "Collaborative forecasting, inventory hedging and contract coordination in dynamic supply risk management," European Journal of Operational Research, Elsevier, vol. 245(1), pages 133-145.
    7. Nicolás Hernández Santibáñez & Dylan Possamaï & Chao Zhou, 2020. "Bank monitoring incentives under moral hazard and adverse selection," Post-Print hal-01435460, HAL.
    8. Nicol'as Hern'andez Santib'a~nez & Dylan Possamai & Chao Zhou, 2017. "Bank monitoring incentives under moral hazard and adverse selection," Papers 1701.05864, arXiv.org, revised Jan 2019.
    9. Erica L. Plambeck & Terry A. Taylor, 2007. "Implications of Renegotiation for Optimal Contract Flexibility and Investment," Management Science, INFORMS, vol. 53(12), pages 1872-1886, December.
    10. Guillaume Roger, 2016. "A Revelation Mechanism for Soft Information under Moral Hazard," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 18(5), pages 752-763, October.
    11. Christopher S. Armstrong & David F. Larcker & Che-Lin Su, 2010. "Endogenous Selection and Moral Hazard in Compensation Contracts," Operations Research, INFORMS, vol. 58(4-part-2), pages 1090-1106, August.
    12. Ohad Kadan & Philip J. Reny & Jeroen M. Swinkels, 2017. "Existence of Optimal Mechanisms in Principal‐Agent Problems," Econometrica, Econometric Society, vol. 85, pages 769-823, May.
    13. Nicolás Hernández Santibáñez & Dylan Possamaï & Chao Zhou, 2017. "Bank monitoring incentives under moral hazard and adverse selection," Working Papers hal-01435460, HAL.
    14. Raith, Michael, 2012. "Optimal incentives and the time dimension of performance measurement," Journal of Economic Theory, Elsevier, vol. 147(6), pages 2158-2189.
    15. Li, Zhaolin, 2020. "Robust Moral Hazard with Distributional Ambiguity," Working Papers BAWP-2020-03, University of Sydney Business School, Discipline of Business Analytics.
    16. Singham, D.I., 2019. "Sample average approximation for the continuous type principal-agent problem," European Journal of Operational Research, Elsevier, vol. 275(3), pages 1050-1057.
    17. Patrice Loisel, 2013. "Can CDFC and MLRP Conditions Be Both Satisfied for a Given Distribution?," Czech Economic Review, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, vol. 7(3), pages 135-145, November.
    18. Mehmet Gümüş & Saibal Ray & Haresh Gurnani, 2012. "Supply-Side Story: Risks, Guarantees, Competition, and Information Asymmetry," Management Science, INFORMS, vol. 58(9), pages 1694-1714, September.
    19. Ábrahám, Árpád & Koehne, Sebastian & Pavoni, Nicola, 2011. "On the first-order approach in principal-agent models with hidden borrowing and lending," Journal of Economic Theory, Elsevier, vol. 146(4), pages 1331-1361, July.
    20. Inés Macho-Stadler & David Pérez-Castrillo, 2018. "Moral hazard: Base models and two extensions," Chapters, in: Luis C. Corchón & Marco A. Marini (ed.), Handbook of Game Theory and Industrial Organization, Volume I, chapter 16, pages 453-485, Edward Elgar Publishing.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:ejores:v:264:y:2018:i:1:p:239-256. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/eor .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.