On proportionality in multi-issue problems with crossed claims
Optimization and Control
2022-02-22 v1 Computer Science and Game Theory
Theoretical Economics
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.
Cite
@article{arxiv.2202.09877,
title = {On proportionality in multi-issue problems with crossed claims},
author = {Rick K. Acosta-Vega and Encarnación Algaba and Joaquín Sánchez-Soriano},
journal= {arXiv preprint arXiv:2202.09877},
year = {2022}
}
Comments
18 pages, 2 figures, this paper is a version of a paper submitted to EJOR in April 2021