TY - JOUR AU - Lian, Jing Wu AU - Mattei, Nicholas AU - Noble, Renee AU - Walsh, Toby PY - 2018/04/25 Y2 - 2024/03/29 TI - The Conference Paper Assignment Problem: Using Order Weighted Averages to Assign Indivisible Goods JF - Proceedings of the AAAI Conference on Artificial Intelligence JA - AAAI VL - 32 IS - 1 SE - AAAI Technical Track: Game Theory and Economic Paradigms DO - 10.1609/aaai.v32i1.11484 UR - https://ojs.aaai.org/index.php/AAAI/article/view/11484 SP - AB - <p> We propose a novel mechanism for solving the assignment problem when we have a two sided matching problem with preferences from one side (the agents/reviewers) over the other side (the objects/papers) and both sides have capacity constraints. The assignment problem is a fundamental in both computer science and economics with application in many areas including task and resource allocation. Drawing inspiration from work in multi-criteria decision making and social choice theory we use order weighted averages (OWAs), a parameterized class of mean aggregators, to propose a novel and flexible class of algorithms for the assignment problem. We show an algorithm for finding an SUM-OWA assignment in polynomial time, in contrast to the NP-hardness of finding an egalitarian assignment. We demonstrate through empirical experiments that using SUM-OWA assignments can lead to high quality and more fair assignments. </p> ER -