This paper deals with extensions of the family of sequential priority rules and the random arrival rule for bankruptcy problems when withdrawal limits are fixed by an arbitrator. We assume two approaches to limit withdrawals. The first is based on the principle that agents can only obtain at most a fixed part of the endowment each time they qualify for an award, and the second that agents can only receive at most a proportion of their claims each time they are attended. For each approach we introduce two pairs of families, each consisting of a sequential priority rule-like family and a random arrival rule-like family. Applying the first approach, we show that the constrained equal awards rule belongs to each of the families. In the second, we prove the same for the proportional rule. We study in detail one pair of families for each approach, and the others are examined in relation to them.

本文讨论了在仲裁员确定提款限额时破产问题的顺序优先规则族和随机到达规则的扩展。我们假设有两种方法来限制提款。第一种是基于代理人每次有资格获得奖励时最多只能获得固定部分捐赠的原则，第二种是代理人每次参加时最多只能收到他们的部分索赔。对于每种方法，我们引入了两对家族，每对家族由一个顺序优先级的类规则家族和一个随机到达的类规则家族组成。应用第一种方法，我们表明受约束的平等奖励规则属于每个家庭。在第二个中，我们证明了比例规则是一样的。我们详细研究了每种方法的一对家庭，