In this paper we study the class of claims problems where the amount to be divided is perfectly divisible and claims are made on indivisible units of several items. Each item has a price, and the available amount falls short to be able to cover all the claims at the given prices. We propose several properties that may be of interest in this particular framework. These properties represent the common principles of fairness, efficiency, and non-manipulability by merging or splitting. Efficiency is our focal principle, which is formalized by means of two axioms: non-wastefulness and Pareto efficiency. We show that some combinations of the properties we consider are compatible, others are not.

在本文中，我们研究了索赔问题的类别，其中要分割的金额是完全可分的，并且索赔是在几个项目的不可分割单元上提出的。每个项目都有一个价格，可用金额不足以支付给定价格的所有索赔。我们提出了几个可能在这个特定框架中感兴趣的属性。这些属性代表了公平、效率和不可通过合并或拆分操作的共同原则。效率是我们的核心原则，它通过两个公理形式化：不浪费和帕累托效率。我们证明了我们认为的某些属性组合是兼容的，而另一些则不是。