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A characterization of the random arrival rule for bankruptcy problems

机译:破产问题的随机到达规则的刻画

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摘要

It is known that no additive division rules exist for bankruptcy problems. In this paper, we study a restricted additivity property which we call “feasible set additivity” (FSA). This property requires division rules to be additive when the set of feasible allocation vectors for a sum of problems does not include allocations that were unfeasible when considering each problem separately.In addition, we characterize the random arrival rule as the only division rule satisfying FSA and equal treatment of equals for two and three-agent cases. We also show that this characterization holds when the endowment is small enough in relation to the claims, while the question of whether it holds in general remains open.
机译:众所周知,不存在针对破产问题的附加划分规则。在本文中,我们研究了受限可加性,我们称其为“可行集可加性”(FSA)。当针对一个问题总和的可行分配向量集不包括在单独考虑每个问题时不可行的分配时,此属性要求添加除法规则。此外,我们将随机到达规则定性为满足FSA和两和三主体案件的平等对待。我们还表明,当捐赠相对于权利要求足够小时,这种特征仍然成立,而总体上是否成立的问题仍然悬而未决。

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