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Inventory competition for newsvendors under the objective of profit satisficing

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  • Shi, Chunming (Victor)
  • Yang, Shilei
  • Xia, Yu
  • Zhao, Xuan

Abstract

Inventory competition for newsvendors (NVs) has been studied extensively under the objective of expected profit maximization which is based on risk neutrality. In this paper, we study this classic problem under the objective of profit satisficing which is based on downside-risk aversion. Consistent with prior literature, we consider two possible scenarios. In the first scenario, each NV's demand depends on the stocking levels of all NVs other than herself. In this scenario, we show that there is a unique Nash equilibrium where all NVs optimally order as if they were independent. In the second scenario, each NV's demand depends on the stocking levels of all NVs including herself. We prove the existence of Nash equilibrium for both additive and multiplicative forms of demands. As a special case, we also study symmetrical NVs under the proportional allocation model. We show that at equilibrium, if the number of NVs exceeds a threshold, the market becomes highly competitive.

Suggested Citation

  • Shi, Chunming (Victor) & Yang, Shilei & Xia, Yu & Zhao, Xuan, 2011. "Inventory competition for newsvendors under the objective of profit satisficing," European Journal of Operational Research, Elsevier, vol. 215(2), pages 367-373, December.
    • Handle: RePEc:eee:ejores:v:215:y:2011:i:2:p:367-373
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    References listed on IDEAS

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    1. C Shi & B Chen, 2007. "Pareto-optimal contracts for a supply chain with satisficing objectives," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(6), pages 751-759, June.
    2. He, Xiuli & Khouja, Moutaz, 2011. "Pareto analysis of supply chain contracts under satisficing objectives," European Journal of Operational Research, Elsevier, vol. 214(1), pages 53-66, October.
    3. Shipley, David D, 1981. "Pricing Objectives in British Manufacturing Industry," Journal of Industrial Economics, Wiley Blackwell, vol. 29(4), pages 429-443, June.
    4. Siddharth Mahajan & Garrett van Ryzin, 2001. "Stocking Retail Assortments Under Dynamic Consumer Substitution," Operations Research, INFORMS, vol. 49(3), pages 334-351, June.
    5. Wang, Charles X. & Webster, Scott, 2009. "The loss-averse newsvendor problem," Omega, Elsevier, vol. 37(1), pages 93-105, February.
    6. Geng, Qin & Mallik, Suman, 2007. "Inventory competition and allocation in a multi-channel distribution system," European Journal of Operational Research, Elsevier, vol. 182(2), pages 704-729, October.
    7. Serguei Netessine & Fuqiang Zhang, 2005. "Positive vs. Negative Externalities in Inventory Management: Implications for Supply Chain Design," Manufacturing & Service Operations Management, INFORMS, vol. 7(1), pages 58-73, January.
    8. Yunzeng Wang & Yigal Gerchak, 2001. "Supply Chain Coordination when Demand Is Shelf-Space Dependent," Manufacturing & Service Operations Management, INFORMS, vol. 3(1), pages 82-87, August.
    9. Wang, Qinan & Parlar, Mahmut, 1994. "A three-person game theory model arising in stochastic inventory control theory," European Journal of Operational Research, Elsevier, vol. 76(1), pages 83-97, July.
    10. Shi, Chunming Victor & Zhao, Xuan & Xia, Yu, 2010. "The setting of profit targets for target oriented divisions," European Journal of Operational Research, Elsevier, vol. 206(1), pages 86-92, October.
    11. Serguei Netessine & Nils Rudi, 2003. "Centralized and Competitive Inventory Models with Demand Substitution," Operations Research, INFORMS, vol. 51(2), pages 329-335, April.
    12. Xuan Zhao & Derek R. Atkins, 2008. "Newsvendors Under Simultaneous Price and Inventory Competition," Manufacturing & Service Operations Management, INFORMS, vol. 10(3), pages 539-546, September.
    13. Siddharth Mahajan & Garrett van Ryzin, 2001. "Inventory Competition Under Dynamic Consumer Choice," Operations Research, INFORMS, vol. 49(5), pages 646-657, October.
    14. Steven A. Lippman & Kevin F. McCardle, 1997. "The Competitive Newsboy," Operations Research, INFORMS, vol. 45(1), pages 54-65, February.
    15. Mahmut Parlar, 1988. "Game theoretic analysis of the substitutable product inventory problem with random demands," Naval Research Logistics (NRL), John Wiley & Sons, vol. 35(3), pages 397-409, June.
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    Cited by:

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    2. Imogen Bellwood‐Howard & Isaac Gershon Kodwo Ansah & Samuel Arkoh Donkoh & Gabin Korbéogo, 2021. "Managing seasonality in West African informal urban vegetable markets: The role of household relations," Journal of International Development, John Wiley & Sons, Ltd., vol. 33(5), pages 874-893, July.
    3. Pinto, Roberto, 2016. "Stock rationing under a profit satisficing objective," Omega, Elsevier, vol. 65(C), pages 55-68.
    4. Chernonog, Tatyana & Avinadav, Tal, 2014. "Profit criteria involving risk in price setting of virtual products," European Journal of Operational Research, Elsevier, vol. 236(1), pages 351-360.
    5. Chernonog, Tatyana & Avinadav, Tal & Ben-Zvi, Tal, 2019. "How to set price and quality in a supply chain of virtual products under bi-criteria and risk consideration," International Journal of Production Economics, Elsevier, vol. 209(C), pages 156-163.
    6. Yang, Shilei & Shi, Chunming (Victor) & Zhang, Yibin & Zhu, Jing, 2014. "Price competition for retailers with profit and revenue targets," International Journal of Production Economics, Elsevier, vol. 154(C), pages 233-242.
    7. Avinadav, Tal & Chernonog, Tatyana & Perlman, Yael, 2014. "Analysis of protection and pricing strategies for digital products under uncertain demand," International Journal of Production Economics, Elsevier, vol. 158(C), pages 54-64.
    8. Chung, Chia-Shin & Flynn, James & Kuik, Roelof & Staliński, Piotr, 2013. "A single-period inventory placement problem for a supply system with the satisficing objective," European Journal of Operational Research, Elsevier, vol. 224(3), pages 520-529.

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