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Monotonicity properties of wholesale price contracts

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  • Tilson, Vera

Abstract

This paper contributes to the supply chain contracts literature in economics and operations by performing qualitative sensitivity analysis of a wholesale price contract in a two-echelon supply chain setting. Order-theory tools are used to derive sufficient conditions for monotonicity of contract parameters. The upstream supplier is modeled as a Stackelberg leader. The supplier is assumed to have complete information about the costs and revenue function of the downstream retailer. It is shown that an equilibrium wholesale price weakly increases with an increase in the supplier production cost rate, but it may increase or decrease with an increase in the retailer cost rate. As either the supplier production cost or the retailer cost increases, the supplier profit decreases weakly. Additional sensitivity analysis is performed assuming certain properties of the retailer revenue function. Several well-known results in the supply chain contracting literature can be considered as special cases of the more general theorems developed here. In particular, this paper reexamines the analysis of a newsvendor supply chain problem by Lariviere and Porteus [Lariviere, M.A., Porteus, E.L., 2001. Selling to the newsvendor: An analysis of price-only contracts. Manufacturing & Service Operations Management 3, 293-305]. This paper generalizes and extends their work, by establishing properties of the newsvendor demand distribution that guarantee monotonicity of the contract parameters, without requiring a unique contract solution.

Suggested Citation

  • Tilson, Vera, 2008. "Monotonicity properties of wholesale price contracts," Mathematical Social Sciences, Elsevier, vol. 56(1), pages 127-143, July.
    • Handle: RePEc:eee:matsoc:v:56:y:2008:i:1:p:127-143
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    References listed on IDEAS

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    1. Khouja, Moutaz, 1999. "The single-period (news-vendor) problem: literature review and suggestions for future research," Omega, Elsevier, vol. 27(5), pages 537-553, October.
    2. Timothy F. Bresnahan & Peter C. Reiss, 1985. "Dealer and Manufacturer Margins," RAND Journal of Economics, The RAND Corporation, vol. 16(2), pages 253-268, Summer.
    3. Susan Athey, 2002. "Monotone Comparative Statics under Uncertainty," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 117(1), pages 187-223.
    4. Lau, Amy Hing Ling & Lau, Hon-Shiang, 2005. "Some two-echelon supply-chain games: Improving from deterministic-symmetric-information to stochastic-asymmetric-information models," European Journal of Operational Research, Elsevier, vol. 161(1), pages 203-223, February.
    5. Martin A. Lariviere & Evan L. Porteus, 2001. "Selling to the Newsvendor: An Analysis of Price-Only Contracts," Manufacturing & Service Operations Management, INFORMS, vol. 3(4), pages 293-305, May.
    6. Lau, Hon-Shiang & Lau, Amy Hing-Ling, 1999. "Manufacturer's pricing strategy and return policy for a single-period commodity," European Journal of Operational Research, Elsevier, vol. 116(2), pages 291-304, July.
    7. Donald M. Topkis, 1978. "Minimizing a Submodular Function on a Lattice," Operations Research, INFORMS, vol. 26(2), pages 305-321, April.
    8. Dada, Maqbool & Petruzzi, Nicholas C. & Schwarz, Leroy B., 2003. "A Newsvendor Model with Unreliable Suppliers," Working Papers 03-0112, University of Illinois at Urbana-Champaign, College of Business.
    9. Milgrom, Paul & Shannon, Chris, 1994. "Monotone Comparative Statics," Econometrica, Econometric Society, vol. 62(1), pages 157-180, January.
    10. Barry Alan Pasternack, 1985. "Optimal Pricing and Return Policies for Perishable Commodities," Marketing Science, INFORMS, vol. 4(2), pages 166-176.
    11. Charles J. Corbett & Deming Zhou & Christopher S. Tang, 2004. "Designing Supply Contracts: Contract Type and Information Asymmetry," Management Science, INFORMS, vol. 50(4), pages 550-559, April.
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