False-Name-Proof Facility Location on Wheel Graphs

Koji Osoegawa, Taiki Todo, Makoto Yokoo

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this paper, we consider the study of two classes of mechanism design problems for locating a facility on a wheel graph with k≥ 4 vertices, where a vertex is located at the center, which is surrounded by a cycle graph with k- 1 vertices and connected to each vertex in the cycle. Two domains of agents’ preferences are considered; the single-peaked domain and the single-dipped domain. We are interested in the existence of anonymous social choice functions that are false-name-proof and Pareto efficient. For both domains of preferences, we provide the necessary and sufficient condition on the graph parameter k to guarantee the existence of such social choice functions. Namely, for the single-peaked preference domain, such social choice functions exist if and only if k≤ 5. On the other hand, for the single-dipped preference domain, such social choice functions exist if and only if k≤ 7.

Original languageEnglish
Title of host publicationPRIMA 2022
Subtitle of host publicationPrinciples and Practice of Multi-Agent Systems - 24th International Conference, Proceedings
EditorsReyhan Aydoğan, Natalia Criado, Victor Sanchez-Anguix, Jérôme Lang, Marc Serramia
PublisherSpringer Science and Business Media Deutschland GmbH
Pages139-155
Number of pages17
ISBN (Print)9783031212024
DOIs
Publication statusPublished - 2023
Event24th International Conference on Principles and Practice of Multi-Agent Systems, PRIMA 2020 - Valencia , Spain
Duration: Nov 16 2022Nov 18 2022

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume13753 LNAI
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference24th International Conference on Principles and Practice of Multi-Agent Systems, PRIMA 2020
Country/TerritorySpain
CityValencia
Period11/16/2211/18/22

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Computer Science(all)

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