Portioning Using Ordinal Preferences: Fairness and Efficiency

Author:

Airiau Stéphane1,Aziz Haris2,Caragiannis Ioannis3,Kruger Justin1,Lang Jérôme1,Peters Dominik4

Affiliation:

1. LAMSADE, CNRS, Université Paris-Dauphine, PSL University

2. UNSW Sydney & Data61, CSIRO

3. University of Patras

4. University of Oxford

Abstract

A public divisible resource is to be divided among projects. We study rules that decide on a distribution of the budget when voters have ordinal preference rankings over projects. Examples of such portioning problems are participatory budgeting, time shares, and parliament elections. We introduce a family of rules for portioning, inspired by positional scoring rules. Rules in this family are given by a scoring vector (such as plurality or Borda) associating a positive value with each rank in a vote, and an aggregation function such as leximin or the Nash product. Our family contains well-studied rules, but most are new. We discuss computational and normative properties of our rules. We focus on fairness, and introduce the SD-core, a group fairness notion. Our Nash rules are in the SD-core, and the leximin rules satisfy individual fairness properties. Both are Pareto-efficient.

Publisher

International Joint Conferences on Artificial Intelligence Organization

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Optimized Distortion and Proportional Fairness in Voting;Proceedings of the 23rd ACM Conference on Economics and Computation;2022-07-12

2. Participatory Budgeting: Fairness and Welfare Maximization;Multi-Agent Systems;2022

3. Distribution Rules Under Dichotomous Preferences;Proceedings of the 22nd ACM Conference on Economics and Computation;2021-07-18

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