Design of water quality policies based on proportionality in multi-issue problems with crossed claims
本文提出一种基于破产模型的方法，用于确定属于多个类别的污染物的排放限值，并引入约束比例分配规则，通过公理化刻画和实际数据示例展示其在水污染控制中的政策含义。
Water pollutants can be classified into three categories, each of which includes several classifications of substances. In this paper, we present a methodology based on bankruptcy models to determine the emission limits of polluting substances belonging to more than one category. We model the problem as a multi-issue allocation problem with crossed claims and introduce the constrained proportional awards rule to obtain the emission limits. This rule is based on the concept of proportionality and extends the proportional rule for bankruptcy problems. We also provide an axiomatic characterization of this rule. Moreover, this allocation rule is illustrated by means of a numerical example based on real-world data. Finally, managerial and policy implications of this approach for water pollution control are given.