论文标题

关于基于破产和先验工会的配额系统:估计随机到达式规则

On systems of quotas based on bankruptcy with a priori unions: estimating random arrival-style rules

论文作者

Saavedra-Nieves, A., Saavedra-Nieves, P.

论文摘要

本文介绍了一个抽样程序,用于估算到存在先验工会的那些破产情况。它基于简单的随机抽样和替换的简单抽样,并适用于具有先验工会的可转让公用事业游戏的欧文值的估计方法,当相关代理集足够大时,尤其有用。我们分析了所得估计器的理论统计特性,并为所发生的误差提供了一些界限。它的性能是在可以准确获得该分配规则的两个经过充分研究的示例中评估的。最后,我们采用这种抽样方法为加利西亚(西班牙)的牛奶市场提供新的配额系统,以检查不同领土结构的作用,当它们被视为先验工会时。由此产生的配额估计器也与破产文献中的两个经典规则进行了比较。

This paper addresses a sampling procedure for estimating extensions of the random arrival rule to those bankruptcy situations where there exist a priori unions. It is based on simple random sampling with replacement and it adapts an estimation method of the Owen value for transferable utility games with a priori unions, especially useful when the set of involved agents is sufficiently large. We analyse the theoretical statistical properties of the resulting estimator as well as we provide some bounds for the incurred error. Its performance is evaluated on two well-studied examples in literature where this allocation rule can be exactly obtained. Finally, we apply this sampling method to provide a new quota system for the milk market in Galicia (Spain) to check the role of different territorial structures when they are taken as a priori unions. The resulting quotas estimator is also compared with two classical rules in bankruptcy literature.

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