Customer and retailer rebates under risk aversion
In a supply chain setting, we analyze a manufacturer's customer and retailer rebates, which are sales incentives offered to the end buyers and retailers, respectively. The performance of both rebates is influenced by the retailer's objective and response to the promotion due to his intermediary position in the channel. Earlier studies investigating rebates in distribution channels have traditionally assumed that the retailer is risk neutral with the objective of maximizing expected profits. In our paper, we consider a risk-averse retailer. We formally model risk aversion by adopting the Conditional-Value-at-Risk (CVaR) decision criterion. Using a stochastic and (effective) price dependent demand, we analyze the manufacturer's rebate amount decisions and the retailer's joint inventory and pricing decisions in a game theoretical framework. We provide several structural properties of the objective functions and show monotonicity of the retailer's decisions in the degree of risk aversion. For the case of retailer rebates, we characterize the unique equilibrium, and for the case of customer rebates, we prove the existence of an equilibrium. Using numerical examples, we provide further insights on the impact of risk aversion. For example, given an exogenous wholesale price, we observe a threshold value on the retailer's risk-aversion parameter below (above) which the manufacturer is better off with retailer rebates (customer rebates); implying that the manufacturer's preferred rebate type can be different depending on whether the retailer is risk neutral or sufficiently risk averse.
If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Scott M. Gilpatric, 2009. "Slippage in Rebate Programs and Present-Biased Preferences," Marketing Science, INFORMS, vol. 28(2), pages 229-238, 03-04.
- Wang, Charles X., 2010. "The loss-averse newsvendor game," International Journal of Production Economics, Elsevier, vol. 124(2), pages 448-452, April.
- Kurata, Hisashi & Yue, Xiaohang, 2008. "Trade promotion mode choice and information sharing in fashion retail supply chains," International Journal of Production Economics, Elsevier, vol. 114(2), pages 507-519, August.
- Ahmed, Shabbir & Cakmak, Ulas & Shapiro, Alexander, 2007. "Coherent risk measures in inventory problems," European Journal of Operational Research, Elsevier, vol. 182(1), pages 226-238, October.
- Vipul Agrawal & Sridhar Seshadri, 2000. "Impact of Uncertainty and Risk Aversion on Price and Order Quantity in the Newsvendor Problem," Manufacturing & Service Operations Management, INFORMS, vol. 2(4), pages 410-423, July.
- Qiang Lu & Sridhar Moorthy, 2007. "Coupons Versus Rebates," Marketing Science, INFORMS, vol. 26(1), pages 67-82, 01-02.
- Meghan Busse & Jorge Silva-Risso & Florian Zettelmeyer, 2006. "$1,000 Cash Back: The Pass-Through of Auto Manufacturer Promotions," American Economic Review, American Economic Association, vol. 96(4), pages 1253-1270, September.
- Wang, Charles X. & Webster, Scott, 2009. "The loss-averse newsvendor problem," Omega, Elsevier, vol. 37(1), pages 93-105, February.
- Yuxin Chen & Sridhar Moorthy & Z. John Zhang, 2005. "Research Note---Price Discrimination After the Purchase: Rebates as State-Dependent Discounts," Management Science, INFORMS, vol. 51(7), pages 1131-1140, July.
- Gerstner, Eitan & Hess, James D, 1991. "A Theory of Channel Price Promotions," American Economic Review, American Economic Association, vol. 81(4), pages 872-86, September.
- Gotoh, Jun-ya & Takano, Yuichi, 2007. "Newsvendor solutions via conditional value-at-risk minimization," European Journal of Operational Research, Elsevier, vol. 179(1), pages 80-96, May.
- Yang, Shilei & Munson, Charles L. & Chen, Bintong, 2010. "Using MSRP to enhance the ability of rebates to control distribution channels," European Journal of Operational Research, Elsevier, vol. 205(1), pages 127-135, August.
- Maurice E. Schweitzer & Gérard P. Cachon, 2000. "Decision Bias in the Newsvendor Problem with a Known Demand Distribution: Experimental Evidence," Management Science, INFORMS, vol. 46(3), pages 404-420, March.
- Arcelus, F.J. & Kumar, Satyendra & Srinivasan, G., 2007. "Pricing and rebate policies for the newsvendor problem in the presence of a stochastic redemption rate," International Journal of Production Economics, Elsevier, vol. 107(2), pages 467-482, June.
- Louis Eeckhoudt & Christian Gollier & Harris Schlesinger, 1995. "The Risk-Averse (and Prudent) Newsboy," Management Science, INFORMS, vol. 41(5), pages 786-794, May.
- Ault, Richard W, et al, 2000. "Rebates, Inventories, and Intertemporal Price Discrimination," Economic Inquiry, Western Economic Association International, vol. 38(4), pages 570-78, October.
- Wong, W.K. & Qi, J. & Leung, S.Y.S., 2009. "Coordinating supply chains with sales rebate contracts and vendor-managed inventory," International Journal of Production Economics, Elsevier, vol. 120(1), pages 151-161, July.
- Eitan Gerstner & James D. Hess, 1995. "Pull Promotions and Channel Coordination," Marketing Science, INFORMS, vol. 14(1), pages 43-60.
When requesting a correction, please mention this item's handle: RePEc:eee:proeco:v:133:y:2011:i:2:p:736-750. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Zhang, Lei)
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.