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Non-cooperative joint replenishment under asymmetric information

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  • Körpeoğlu, Evren
  • Şen, Alper
  • Güler, Kemal

Abstract

We consider jointly replenishing n ex-ante identical firms that operate under an EOQ like setting using a non-cooperative game under asymmetric information. In this game, each firm, upon being privately informed about its demand rate (or inventory cost rate), submits a private contribution to an intermediary that specifies how much it is willing to pay for its replenishment per unit of time and the intermediary determines the maximum feasible frequency for the joint orders that would finance the fixed replenishment cost. We show that a Bayesian Nash equilibrium exists and characterize the equilibrium in this game. We also show that the contributions are monotone increasing in each firm’s type. We finally conduct a numerical study to compare the equilibrium to solutions obtained under independent and cooperative ordering, and under full information. The results show that while information asymmetry eliminates free-riding in the contributions game, the resulting aggregate contributions are not as high as under full information, leading to higher aggregate costs.

Suggested Citation

  • Körpeoğlu, Evren & Şen, Alper & Güler, Kemal, 2013. "Non-cooperative joint replenishment under asymmetric information," European Journal of Operational Research, Elsevier, vol. 227(3), pages 434-443.
    • Handle: RePEc:eee:ejores:v:227:y:2013:i:3:p:434-443
    DOI: 10.1016/j.ejor.2013.01.004
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    1. Meirowitz, Adam, 2003. "On the existence of equilibria to Bayesian games with non-finite type and action spaces," Economics Letters, Elsevier, vol. 78(2), pages 213-218, February.
    2. Charles J. Corbett, 2001. "Stochastic Inventory Systems in a Supply Chain with Asymmetric Information: Cycle Stocks, Safety Stocks, and Consignment Stock," Operations Research, INFORMS, vol. 49(4), pages 487-500, August.
    3. Jiawei Zhang, 2009. "Cost Allocation for Joint Replenishment Models," Operations Research, INFORMS, vol. 57(1), pages 146-156, February.
    4. 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.
    5. Khouja, Moutaz & Goyal, Suresh, 2008. "A review of the joint replenishment problem literature: 1989-2005," European Journal of Operational Research, Elsevier, vol. 186(1), pages 1-16, April.
    6. Heuvel, Wilco van den & Borm, Peter & Hamers, Herbert, 2007. "Economic lot-sizing games," European Journal of Operational Research, Elsevier, vol. 176(2), pages 1117-1130, January.
    7. Fiestras-Janeiro, M.G. & García-Jurado, I. & Meca, A. & Mosquera, M.A., 2011. "Cooperative game theory and inventory management," European Journal of Operational Research, Elsevier, vol. 210(3), pages 459-466, May.
    8. 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.
    9. Viswanathan, S. & Piplani, Rajesh, 2001. "Coordinating supply chain inventories through common replenishment epochs," European Journal of Operational Research, Elsevier, vol. 129(2), pages 277-286, March.
    10. Ana Meca & Ignacio García-Jurado & Peter Borm, 2003. "Cooperation and competition in inventory games," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 57(3), pages 481-493, August.
    11. Meca, Ana & Timmer, Judith & Garcia-Jurado, Ignacio & Borm, Peter, 2004. "Inventory games," European Journal of Operational Research, Elsevier, vol. 156(1), pages 127-139, July.
      • Meca-Martinez, A. & Timmer, J.B. & Garcia-Jurado, I. & Borm, P.E.M., 1999. "Inventory Games," Discussion Paper 1999-53, Tilburg University, Center for Economic Research.
      • Meca-Martinez, A. & Timmer, J.B. & Garcia-Jurado, I. & Borm, P.E.M., 1999. "Inventory Games," Other publications TiSEM 21f26b3f-7fae-4f19-908f-a, Tilburg University, School of Economics and Management.
      • Meca, A. & Timmer, J.B. & Garcia-Jurado, I. & Borm, P.E.M., 2004. "Inventory games," Other publications TiSEM 49368f2d-02fc-49c9-9d74-8, Tilburg University, School of Economics and Management.
    12. Moshe Dror & Bruce C. Hartman, 2007. "Shipment Consolidation: Who Pays for It and How Much?," Management Science, INFORMS, vol. 53(1), pages 78-87, January.
    13. Zied Jemai & Adel Elomri & Asma Ghaffari & Yves Dallery, 2012. "Coalition Formation and Cost Allocation for Joint Replenishment Systems," Post-Print hal-01672397, HAL.
    14. Shoshana Anily & Moshe Haviv, 2007. "The Cost Allocation Problem for the First Order Interaction Joint Replenishment Model," Operations Research, INFORMS, vol. 55(2), pages 292-302, April.
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    2. Wang, Min & Zhao, Lindu & Herty, Michael, 2019. "Joint replenishment and carbon trading in fresh food supply chains," European Journal of Operational Research, Elsevier, vol. 277(2), pages 561-573.
    3. Chen, You-hua & Chen, Liu-man & Mishra, Ashok K., 2021. "Information, Capacity Constraints and Quality on Firms Competition," 2021 ASAE 10th International Conference (Virtual), January 11-13, Beijing, China 329427, Asian Society of Agricultural Economists (ASAE).
    4. Behzad Hezarkhani & Greys Sošić, 2019. "Who’s Afraid of Strategic Behavior? Mechanisms for Group Purchasing," Production and Operations Management, Production and Operations Management Society, vol. 28(4), pages 933-954, April.
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    6. Hezarkhani, Behzad & Slikker, Marco & Van Woensel, Tom, 2018. "Collaborative replenishment in the presence of intermediaries," European Journal of Operational Research, Elsevier, vol. 266(1), pages 135-146.

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