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Negotiation-sequence, pricing, and ordering decisions in a three-echelon supply chain: A coopetitive-game analysis

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  • Zhong, Feimin
  • Zhou, Zhongbao
  • Leng, Mingming

Abstract

We investigate a three-echelon supply chain in which a distributor at the middle echelon negotiates two wholesale price contracts with his upstream manufacturer and downstream retailer. In the first stage, the distributor decides on whether to first negotiate with the manufacturer or with the retailer; in the second (combined, noncooperative-cooperative, game) stage, the two negotiations are conducted sequentially. We find that the supply chain can be coordinated if the distributor first negotiates with the retailer. The distributor should choose the negotiation sequence for supply chain coordination, if he has a sufficiently large (small) relative bargaining power in the negotiation with the manufacturer (the retailer). We also extend our analysis to the cases in which the distributor and the manufacturer negotiate a buyback or two-part tariff contract, and draw similar outcomes when the distributor first negotiates with the retailer. In addition, under the two-part tariff contract, the distributor prefers to first negotiate with the retailer if the manufacturer has a sufficiently high disagreement payoff whereas, under the buyback contract, the distributor always prefers to first negotiate with the firm with a stronger bargaining power. Moreover, the two-part tariff (buyback) contract cannot (can) always coordinate the supply chain.

Suggested Citation

  • Zhong, Feimin & Zhou, Zhongbao & Leng, Mingming, 2021. "Negotiation-sequence, pricing, and ordering decisions in a three-echelon supply chain: A coopetitive-game analysis," European Journal of Operational Research, Elsevier, vol. 294(3), pages 1096-1107.
    • Handle: RePEc:eee:ejores:v:294:y:2021:i:3:p:1096-1107
    DOI: 10.1016/j.ejor.2021.02.020
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    as
    1. 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.
    2. Michaela Draganska & Daniel Klapper & Sofia B. Villas-Boas, 2010. "A Larger Slice or a Larger Pie? An Empirical Investigation of Bargaining Power in the Distribution Channel," Marketing Science, INFORMS, vol. 29(1), pages 57-74, 01-02.
    3. Gaudin, Germain, 2016. "Pass-through, vertical contracts, and bargains," Economics Letters, Elsevier, vol. 139(C), pages 1-4.
    4. Svejnar, Jan, 1986. "Bargaining Power, Fear of Disagreement, and Wage Settlements: Theory and Evidence from U.S. Industry," Econometrica, Econometric Society, vol. 54(5), pages 1055-1078, September.
    5. Hart, Oliver & Moore, John, 1990. "Property Rights and the Nature of the Firm," Journal of Political Economy, University of Chicago Press, vol. 98(6), pages 1119-1158, December.
    6. Kitamura, Hiroshi & Matsushima, Noriaki & Sato, Misato, 2017. "Exclusive contracts and bargaining power," Economics Letters, Elsevier, vol. 151(C), pages 1-3.
    7. Nash, John, 1953. "Two-Person Cooperative Games," Econometrica, Econometric Society, vol. 21(1), pages 128-140, April.
    8. Ken Binmore & Ariel Rubinstein & Asher Wolinsky, 1986. "The Nash Bargaining Solution in Economic Modelling," RAND Journal of Economics, The RAND Corporation, vol. 17(2), pages 176-188, Summer.
    9. Muthoo,Abhinay, 1999. "Bargaining Theory with Applications," Cambridge Books, Cambridge University Press, number 9780521576475, September.
    10. Ernan Haruvy & Elena Katok & Valery Pavlov, 2020. "Bargaining Process and Channel Efficiency," Management Science, INFORMS, vol. 66(7), pages 2845-2860, July.
    11. Lee, DongJoon & Choi, Kangsik & Nariu, Tatsuhiko, 2016. "Endogenous Choice of Price or Quantity Contract with Upstream R&D Investment: Linear Pricing and Two-part Tariff Contract with Bargaining," MPRA Paper 72752, University Library of Munich, Germany.
    12. 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.
    13. Vettas, Nikolaos & Petrakis, Emmanuel & Milliou, Chrysovalantou, 2003. "Endogenous Contracts Under Bargaining in Competing Vertical Chains," CEPR Discussion Papers 3976, C.E.P.R. Discussion Papers.
    14. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
    15. Feimin Zhong & Jinxing Xie & Xiaobo Zhao & Zuo‐Jun Max Shen, 2016. "On efficiency of multistage channel with bargaining over wholesale prices," Naval Research Logistics (NRL), John Wiley & Sons, vol. 63(6), pages 449-459, September.
    16. Milliou, Chrysovalantou & Petrakis, Emmanuel, 2007. "Upstream horizontal mergers, vertical contracts, and bargaining," International Journal of Industrial Organization, Elsevier, vol. 25(5), pages 963-987, October.
    17. Clark, Derek J. & Pereau, Jean Christophe, 2009. "Fragmented property rights and royalty bargaining," Journal of Economic Behavior & Organization, Elsevier, vol. 72(1), pages 546-553, October.
    18. Mahesh Nagarajan & Yehuda Bassok, 2008. "A Bargaining Framework in Supply Chains: The Assembly Problem," Management Science, INFORMS, vol. 54(8), pages 1482-1496, August.
    19. Kaur Arshinder & Arun Kanda & S. G. Deshmukh, 2011. "A Review on Supply Chain Coordination: Coordination Mechanisms, Managing Uncertainty and Research Directions," International Handbooks on Information Systems, in: Tsan-Ming Choi & T.C. Edwin Cheng (ed.), Supply Chain Coordination under Uncertainty, pages 39-82, Springer.
    20. Zheng, Shiyuan & Negenborn, Rudy R., 2015. "Price negotiation between supplier and buyer under uncertainty with fixed demand and elastic demand," International Journal of Production Economics, Elsevier, vol. 167(C), pages 35-44.
    21. Ioannis N. Pinopoulos, 2020. "Input Price Discrimination and Upstream R&D Investments," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 57(1), pages 85-106, August.
    22. Mahesh Nagarajan & Yehuda Bassok, 2005. "Bargaining and Alliances in Supply Chains," Springer Books, in: Georgios J. Doukidis & Adam P. Vrechopoulos (ed.), Consumer Driven Electronic Transformation, pages 39-51, Springer.
    23. Gabrielsen, Tommy Staahl & Roth, Stefan, 2009. "Delegated bargaining in distribution channels," Australasian marketing journal, Elsevier, vol. 17(3), pages 133-141.
    24. Ingene, Charles A. & Taboubi, Sihem & Zaccour, Georges, 2012. "Game-Theoretic Coordination Mechanisms in Distribution Channels: Integration and Extensions for Models Without Competition," Journal of Retailing, Elsevier, vol. 88(4), pages 476-496.
    25. Liang Guo & Ganesh Iyer, 2013. "Multilateral Bargaining and Downstream Competition," Marketing Science, INFORMS, vol. 32(3), pages 411-430, May.
    26. George Symeonidis, 2008. "Downstream Competition, Bargaining, and Welfare," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 17(1), pages 247-270, March.
    27. Bin Shen & Tsan-Ming Choi & Stefan Minner, 2019. "A review on supply chain contracting with information considerations: information updating and information asymmetry," International Journal of Production Research, Taylor & Francis Journals, vol. 57(15-16), pages 4898-4936, August.
    28. Marx, Leslie M. & Shaffer, Greg, 2007. "Rent shifting and the order of negotiations," International Journal of Industrial Organization, Elsevier, vol. 25(5), pages 1109-1125, October.
    29. Ioannis Pinopoulos, 2017. "Input price discrimination, two-part tariff contracts and bargaining," Discussion Paper Series 2017_01, Department of Economics, University of Macedonia, revised Jan 2017.
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