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Trade and bank credit in a non-cooperative chain with a price-sensitive demand

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  • Vincent Hovelaque
  • Jean-Laurent Viviani
  • Mohamed Ait Mansour

Abstract

The purpose of this article is to examine the impact of the working capital in the borrowing decision of a retailer. The proposed analysis is based on a model with a retailer, a supplier and a bank in a non-cooperative game with price-sensitive demand. The retailer, the supplier and the bank (if concerned) determine, respectively, the ordering quantity, the wholesale price and the interest rate. A Stackelberg game-theoretic approach is employed where the retailer is a follower and either the supplier or the bank is the leader. Some structural properties are first derived from the mathematical models. Then, some numerical simulations show that: (i) a trade credit guarantees the same profits for the retailer and the supplier as in the case where the retailer has sufficient cash holdings, (ii) there exist some situations where the retailer has a better profit with a borrow than with sufficient cash holdings, and (iii) borrowing decision depends on both retailer's and supplier's discount rate and the retailer's cash holdings.

Suggested Citation

  • Vincent Hovelaque & Jean-Laurent Viviani & Mohamed Ait Mansour, 2022. "Trade and bank credit in a non-cooperative chain with a price-sensitive demand," International Journal of Production Research, Taylor & Francis Journals, vol. 60(5), pages 1553-1568, March.
    • Handle: RePEc:taf:tprsxx:v:60:y:2022:i:5:p:1553-1568
    DOI: 10.1080/00207543.2020.1866222
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    Cited by:

    1. Yang, Yang & Liu, Jie, 2023. "Price timing and financing strategies for a capital-constrained supply chain with price-dependent stochastic demand," International Journal of Production Economics, Elsevier, vol. 261(C).
    2. Irfanullah Khan & Biswajit Sarkar, 2021. "Transfer of Risk in Supply Chain Management with Joint Pricing and Inventory Decision Considering Shortages," Mathematics, MDPI, vol. 9(6), pages 1-20, March.
    3. Jiang, Wen-Hui & Xu, Ling & Chen, Zhen-Song & Govindan, Kannan & Chin, Kwai-Sang, 2022. "Financing equilibrium in a capital constrained supply Chain: The impact of credit rating," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 157(C).

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