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An option contract on emergency material reserve considering quality catastrophic change

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Abstract

This paper investigates an option contract for emergency material reserve because of quality catastrophic change. The quality catastrophic change happens randomly and the realized number can not be observed until it happened. Thus, it is necessary to reserve some emergency material beforehand. However, the demander is not qualified to make the storage. Meanwhile, the supplier has no motivation to make storage for the demander. Thus, an option contract is proposed to encourage the supplier to make backup for the demander and share the shortage cost if the backup less than the realized option order quantity. Three models are discussed: the centralized model without option, the decentralized model without option, and the decentralized model with option. The results demonstrate that the order quantity for the first time under the centralized scenario is greater than that under the decentralized model without option. And, the order of the purchase quantity for the first time under the three scenarios depend on the parameters decided by the both players. Meanwhile, through analysing, the effective range of option fee is proved to be limited to an interval.

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Acknowledgements

This work was supported by Philosophy and Social Science Foundation of Tianjin (No. TJGL16-009Q).

Funding

This work was supported by Philosophy and Social Science Foundation of Tianjin (No. TJGL16-009Q).

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Correspondence to Guoli Wang.

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Wang, G., Ma, M., Wang, J. et al. An option contract on emergency material reserve considering quality catastrophic change. Evol. Intel. 17, 37–44 (2024). https://doi.org/10.1007/s12065-020-00371-2

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  • DOI: https://doi.org/10.1007/s12065-020-00371-2

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