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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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    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. Cao, Erbao & Tang, Jing, 2024. "Managing regretful newsvendors and supply chain performance through target-setting," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 183(C).
    6. 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.
    7. 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.
    8. 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.
    9. 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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