Geodesic
The problem of supply chain profit maximization using sales rebate contract
Contributions to game theory and management, Tome 12 (2019), pp. 70-99.

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The paper considers the problem of supply chain profit maximization using the sales rebate contract. The problem solving is proposed for the two-echelon supply chain model with risk-neutral partners and the assumption of triangular distributed demand. It was shown that the sales rebate contract is not coordinating, as it does not provide the individual rationality for the supplier. The authors considered conditional coordination of the supply chain with sales-rebate contract, when the expected profits of the supply chain and the retailer reach their maximum, and the supplier's expected profit is greater than for the case of the wholesale price contract. It can be argued that the sales-rebate contract implementation under certain conditions is beneficial for both partners involved in the supply chain and provides the maximum of the supply chain expected profit. It was approved that the problem of supply chain profit maximization can be solved using the sales rebate contract.
Keywords: supply chain, profit, coordinating contract, sales rebate contract. 
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Irina Berezinets; Margarita Meshkova; Natalia Nikolchenko. The problem of supply chain profit maximization using sales rebate contract. Contributions to game theory and management, Tome 12 (2019), pp. 70-99. http://geodesic.mathdoc.fr/item/CGTM_2019_12_a3/

[1] Albrecht M., Supply Chain Coordination Mechanisms. New Approaches for Collaborative Planning, Lecture Notes in Economics and Mathematical Systems, 628, eds. M. Beckmann, H.P. Künzi, Springer-Verlag, Berlin–Heidelberg, 2010 | DOI | MR | Zbl

[2] Arcelus F. J., Kumar S., Srinivasan G., “The effectiveness of manufacturer vs. retailer rebates within a newsvendor framework”, European Journal of Operational Research, 219 (2012), 252–263 | DOI | MR | Zbl

[3] Arshinder K., Kanda A., Deshmukh S. G., “A Review on Supply Chain Coordination: Coordination Mechanisms, Managing Uncertainty and Research Directions”, Supply Chain Coordination under Uncertainty, eds. T.-M. Choi, T.C. Edwin Cheng, Springer-Verlag, Berlin–Heidelberg, 2011, 39–82 | DOI | MR

[4] Aydin G., Porteus E. L., “Manufacturer-to-Retailer Versus Manufacturer-to-Consumer Rebates in a Supply Chain”, Retail Supply Chain Management, eds. N. Agrawal, S.A. Smith, Science+Business Media, LLC, N.Y., 2009

[5] Bernstein F., Marx L. M., Reservation Profit Levels and the Division of Supply Chain Profit, Working Paper, 2006

[6] Cachon G. P., “Supply Chain Coordination with Contracts”, Handbooks in Operation Research and Management Science: Supply Chain Management, eds. A.G. Kok, S.C. Graves, 2003 | MR

[7] Cachon G. P., Lariviere M. A., “Supply chain coordination with revenue-sharing contracts: strengths and limitations”, Management science, 51:1 (2005), 30–44 | DOI | Zbl

[8] Chinchuluun A., Karakitsiou A., Mavrommati A., “Game Theory Models and Their Applications in Inventory Management and Supply Chain”, Pareto Optimality, Game Theory and Equilibria, Springer Optimization and Its Applications, eds. A. Chinchuluun et al., Springer Science+Business Media, LLC, N.Y., 2008, 833–865 | DOI | MR | Zbl

[9] Chiu C. H., Choi T. M., Tang C. S., “Price, rebate, and returns supply contracts for coordinating supply chains with price-dependent demands”, Production and Operations Management, 20:1 (2011), 81–91 | DOI | MR

[10] Chiu C. H., Choi T. M., Li X., “Supply chain coordination with risk sensitive retailer under target sales rebate”, Automatica, 47:8 (2011), 1617–1625 | DOI | MR | Zbl

[11] Chiu C.-H. et al., “Sales rebates in fashion supply chains”, Mathematical Problems in Engineering, 2012, 1–19 | Zbl

[12] Commons J. R., Institutional Economics. Its Place in Political Economy, 2 vols., Transactions Publishers, New Brunswick–London, 1934

[13] Elomri A., “Cooperation in Supply Chain Networks: Motives, Outcomes, and Barriers”, International Journal of Supply Chain Management, 4:1 (2015), 12–24

[14] Gan X., Sethi S. P., Yan H., “Coordination of Supply Chains with Risk-Averse Agents”, Supply Chain Coordination under Uncertainty, eds. T.-M. Choi, T.C. Edwin Cheng, Springer-Verlag, Berlin–Heidelberg, 2011, 3–31 | DOI | MR | Zbl

[15] Genc T. S., Giovanni P., “Optimal return and rebate mechanism in a closed-loop supply chain game”, European Journal of Operational Research, 269 (2018), 661–681 | DOI | MR | Zbl

[16] Heydari J., Asl-Najafi J., “A revised sales rebate contract with effort-dependent demand: a channel coordination approach”, International Transactions in Operational Research, 2017 | DOI

[17] Höhn M. I., Relational Supply Contracts, Lecture Notes in Economics and Mathematical Systems, 629, Springer-Verlag, Berlin–Heidelberg, 2010 | DOI

[18] Kanellos M., “Novell regroups”, Computer Reseller News, 1996, Sep 9, 127 | MR

[19] Kogan K., Tapiero C. S., Supply Chain Games: Operations Management and Risk Valuation, Springer Science+Business Media, LLC, N.Y., 2007 | MR | Zbl

[20] Krishnan H., Kapuscinski R., Butz D. A., “Coordinating Contracts for Decentralized Supply Chains with Retailer Promotional Effort”, Management science, 50:1 (2004), 48–63 | DOI

[21] Lan Y., Zhao R., Tang W., “An inspection-based price rebate and effort contract model with incomplete information”, Computers Industrial Engineering, 83 (2015), 264–272 | DOI

[22] Liao C.-N., “A joint demand uncertainty, sales effort, and rebate form in marketing channel”, Journal of Statistics and Management Systems, 12:1 (2013), 155–172 | DOI

[23] Mentzer J. T. et al., What is supply chain management, Ed. Sage Publications, Inc. Supply Chain Management, 2000

[24] Muzaffar A., Deng S., Malik M. N., “Contracting mechanism with imperfect information in a two-level supply chain”, Operations Research International Journal, 2018 | Zbl

[25] Pu X., Gong L., Han X., “Consumer free riding: Coordinating sales effort in a dual-channel supply chain”, Electronic Commerce Research and Applications, 22 (2017), 1–12 | DOI

[26] Roberts J., “Reseller's profits rise, but so do salary costs”, Computer Reseller News, 1998, October 26, 46–48

[27] Saha S., “Supply chain coordination through rebate induced contracts”, Transportation Research Part E: Logistics and Transportation Review, 50 (2013), 120–137 | DOI

[28] Sainathan A., Groenevelt B., “Vendor managed inventory contracts – coordinating the supply chain while looking from the vendor's perspective”, European Journal of Operational Research, 272 (2019), 249–260 | DOI | MR | Zbl

[29] Spengler J., “Vertical Integration and Antitrust Policy”, Political Economy, 58 (1950), 347–352 | DOI

[30] Tambovtsev V. L., Introduction to the economic contract theory, INFRA-M, M., 2004, 144 pp.

[31] Taylor T., “Coordination under channel rebates with sales effort effect”, Management Science, 48:8 (2002), 992–1007 | DOI | Zbl

[32] Terdoslavich W., “Incentive ideas: Using a big carrot to get a VAR to bite”, Computer Reseller News, 1998, January 12, 771

[33] Tirole J., The Theory of Industrial Organization, The MIT Press, Cambridge, Massachusetts, 1988

[34] Williamson O. E., The Economic Institutions of Capitalism. Firms, Markets, Relational Contracting, The Free Press, N.Y., 1985

[35] Wong W. K., Qi J., Leung S. Y. S., “Coordinating supply chains with sales rebate contracts and vendor managed inventory”, International Journal Production Economics, 120:1 (2009), 151–161 | DOI

[36] Xing D., Liu T., “Sales effort free riding and coordination with price match and channel rebate”, European Journal of Operational Research, 219 (2012), 264–271 | DOI | MR | Zbl

[37] Zarley C., “Vendors' volume-based incentives”, Computer Reseller News, 1997, June 16, 333