On proportionality in multi-issue problems with crossed claims

Abstract

In this paper, we analyze the problem of how to adapt the concept of proportionality to situations where several perfectly divisible resources have to be allocated among certain set of agents that have exactly one claim which is used for all resources. In particular, we introduce the constrained proportional awards rule, which extend the classical proportional rule to these situations. Moreover, we provide an axiomatic characterization of this rule.

18 pages, 2 figures, this paper is a version of a paper submitted to EJOR in April 2021