Parameterized Analysis of Assignment Under Multiple Preferences

Barak Steindl, Meirav Zehavi

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

The Assignment problem is a fundamental and well-studied problem in the intersection of Social Choice, Computational Economics and Discrete Allocation. In the Assignment problem, a group of agents expresses preferences over a set of items, and the task is to find a pareto optimal allocation of items to agents. We introduce a generalized version of this problem, where each agent is equipped with multiple incomplete preference lists: each list (called a layer) is a ranking of items in a possibly different way according to a different criterion. We introduce the concept of global optimality, which extends the notion of pareto optimality to the multi-layered setting, and we focus on the problem of deciding whether a globally optimal assignment exists. We study this problem from the perspective of Parameterized Complexity: we consider several natural parameters such as the number of layers, the number of agents, the number of items, and the maximum length of a preference list. We present a comprehensive picture of the parameterized complexity of the problem with respect to these parameters.

Original languageEnglish
Title of host publicationMulti-Agent Systems
Subtitle of host publication18th European Conference, EUMAS 2021, Revised Selected Papers
EditorsAriel Rosenfeld, Nimrod Talmon
PublisherSpringer Science and Business Media Deutschland GmbH
Pages160-177
Number of pages18
ISBN (Electronic)9783030822545
ISBN (Print)9783030822538
DOIs
StatePublished - 2021
Event18th European Conference on Multi-Agent Systems, EUMAS 2021 - Virtual, Online
Duration: 28 Jun 202129 Jun 2021

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume12802 LNAI
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference18th European Conference on Multi-Agent Systems, EUMAS 2021
CityVirtual, Online
Period28/06/2129/06/21

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science (all)

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