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Serving many masters: an agent and his principals

Author

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  • Shuo Zeng

    (California State Polytechnic University at Pomona)

  • Moshe Dror

    (University of Arizona)

Abstract

While there is vast literature on principal-agent service contracts in which a principal pools the service capacities of multiple agents for economy of scale, here we focus on the case that exists in practice of an agent pooling multiple principals. Since it is reasonable to presume that an agent of good standing attracts multiple contract offers, his main strategic decision is to select his principals. It is generally known that a principal can extract all economic surplus from a risk-neutral agent while the agent breaks even. However, this is not the case for an agent contracting multiple principals while accounting for their interdependent failure characteristics. In this paper we describe a methodology that enables an agent to calculate the value of each potential principal and therefore to contract a Pareto optimal subset of principals in a market where neither principals’ nor agents’ collusion is allowed. Unfortunately, computational intractability of first order analysis forces us to rely on a Monte Carlo simulation to understand the agent’s choice of the principals. The computation of each principal’s contribution to the agent’s welfare is enabled by a specific cooperative game of independent interest. We show that under certain conditions the agent can do better than break-even and can realize profits convexly increasing in the cardinality of the contracted principals. Our findings not only equip agents with a mathematical instrument for assessment of service contract’s financial viability but also offer agents a holistic perspective for screening principals before accepting contract offers.

Suggested Citation

  • Shuo Zeng & Moshe Dror, 2019. "Serving many masters: an agent and his principals," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 90(1), pages 23-59, August.
  • Handle: RePEc:spr:mathme:v:90:y:2019:i:1:d:10.1007_s00186-018-0652-2
    DOI: 10.1007/s00186-018-0652-2
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    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. Jackson, Canek & Pascual, Rodrigo, 2008. "Optimal maintenance service contract negotiation with aging equipment," European Journal of Operational Research, Elsevier, vol. 189(2), pages 387-398, September.
    3. Haque, Lani & Armstrong, Michael J., 2007. "A survey of the machine interference problem," European Journal of Operational Research, Elsevier, vol. 179(2), pages 469-482, June.
    4. Tijs, S., 1981. "Bounds for the core of a game and the t-value," Other publications TiSEM ebc650eb-f25e-4802-ba0b-2, Tilburg University, School of Economics and Management.
    5. 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.
    6. Russell Cooper & Thomas W. Ross, 1985. "Product Warranties and Double Moral Hazard," RAND Journal of Economics, The RAND Corporation, vol. 16(1), pages 103-113, Spring.
    7. Yuanyao Ding & Rangcheng Jia & Shaoxiang Tang, 2003. "Dynamic principal agent model based on CMDP," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 58(1), pages 149-157, September.
    8. Allan R. Sampson & Robert L. Smith, 1982. "Assessing Risks Through the Determination of Rare Event Probabilities," Operations Research, INFORMS, vol. 30(5), pages 839-866, October.
    9. Samuel Burer & Moshe Dror, 2012. "Newsvendor games: convex optimization of centralized inventory operations," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 20(3), pages 707-728, October.
    10. Muto, S. & Nakayama, M. & Potters, J.A.M. & Tijs, S.H., 1988. "On big boss games," Other publications TiSEM 488a314a-179c-4628-91e6-7, Tilburg University, School of Economics and Management.
    11. Dror, Moshe & Hartman, Bruce C. & Chang, Wei, 2012. "The cost allocation issue in joint replenishment," International Journal of Production Economics, Elsevier, vol. 135(1), pages 242-254.
    12. B. Douglas Bernheim & Michael D. Whinston, 1985. "Common Marketing Agency as a Device for Facilitating Collusion," RAND Journal of Economics, The RAND Corporation, vol. 16(2), pages 269-281, Summer.
    13. Yimin Yu & Saif Benjaafar & Yigal Gerchak, 2015. "Capacity Sharing and Cost Allocation among Independent Firms with Congestion," Production and Operations Management, Production and Operations Management Society, vol. 24(8), pages 1285-1310, August.
    14. Frank Karsten & Marco Slikker & Geert-Jan van Houtum, 2015. "Resource Pooling and Cost Allocation Among Independent Service Providers," Operations Research, INFORMS, vol. 63(2), pages 476-488, April.
    15. Shoshana Anily & Moshe Haviv, 2010. "Cooperation in Service Systems," Operations Research, INFORMS, vol. 58(3), pages 660-673, June.
    16. Kim, Son Ku & Wang, Susheng, 1998. "Linear Contracts and the Double Moral-Hazard," Journal of Economic Theory, Elsevier, vol. 82(2), pages 342-378, October.
    17. Sebastian Pfaffel & Stefan Faulstich & Kurt Rohrig, 2017. "Performance and Reliability of Wind Turbines: A Review," Energies, MDPI, vol. 10(11), pages 1-27, November.
    18. 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.
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    Cited by:

    1. Samir Wadhwa & Roy Dong, 2020. "Equilibrium Selection in Data Markets: Multiple-Principal, Multiple-Agent Problems with Non-Rivalrous Goods," Papers 2004.00196, arXiv.org, revised Mar 2023.

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