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On systems of quotas from bankruptcy perspective: the sampling estimation of the random arrival rule

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  • Saavedra-Nieves, Alejandro
  • Saavedra-Nieves, Paula

Abstract

This paper addresses a sampling procedure for estimating the random arrival rule in bankruptcy situations. It is based on simple random sampling with replacement and it adapts an estimation method of the Shapley value for transferable utility games, especially useful when dealing with large-scale problems. Its performance is analysed through the establishment of theoretical statistical properties and bounds for the incurred error. Furthermore, this tool is evaluated on two well-studied examples in literature where this allocation rule can be exactly calculated. Finally, we apply this sampling method to provide a new quota for the milk market in Galicia (Spain). After the abolition of the milk European quota system in April 2015, this region represents an example where dairy farmers suffered a massive economic impact after investing heavily in modernising their farms. The resulting quota estimator is compared with two classical rules in bankruptcy literature.

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  • Saavedra-Nieves, Alejandro & Saavedra-Nieves, Paula, 2020. "On systems of quotas from bankruptcy perspective: the sampling estimation of the random arrival rule," European Journal of Operational Research, Elsevier, vol. 285(2), pages 655-669.
    • Handle: RePEc:eee:ejores:v:285:y:2020:i:2:p:655-669
    DOI: 10.1016/j.ejor.2020.02.013
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    Cited by:

    1. Gong, Doudou & Dietzenbacher, Bas & Peters, Hans, 2022. "A random arrival rule for NTU-bankruptcy problems," Economics Letters, Elsevier, vol. 218(C).
    2. Davila-Pena, Laura & García-Jurado, Ignacio & Casas-Méndez, Balbina, 2022. "Assessment of the influence of features on a classification problem: An application to COVID-19 patients," European Journal of Operational Research, Elsevier, vol. 299(2), pages 631-641.
    3. A. Saavedra-Nieves, 2023. "On stratified sampling for estimating coalitional values," Annals of Operations Research, Springer, vol. 320(1), pages 325-353, January.
    4. Alba Vázquez-López & Manuel Marey-Perez, 2021. "Factors Affecting e-Government Adoption by Dairy Farmers: A Case Study in the North-West of Spain," Future Internet, MDPI, vol. 13(8), pages 1-17, August.

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