Hotelling-Downs Equilibria: Moving Beyond Plurality Variants

Alexander Karpov, Omer Lev, Svetlana Obraztsova

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

3 Scopus citations


Hotelling-Downs model is a classic model of political competition and strategizing candidates, almost always analyzed under plurality. Our paper presents a three-pronged development of the Hotelling-Downs model. First, we analyze competition under a variety of voting rules. Second, we consider not only a linear city model, but also a circular city model. Third, unlike most Hotelling-Downs papers, we solve the model under the winner-takes-all assumption, which saves many equilibria, and is more relevant to voting settings. In the case of three and four candidates we have found a measure of the set of equilibria.

Original languageEnglish
Title of host publicationGroup Decision and Negotiation
Subtitle of host publicationMethodological and Practical Issues - 22nd International Conference on Group Decision and Negotiation, GDN 2022, Proceedings
EditorsDanielle Costa Morais, Liping Fang
PublisherSpringer Science and Business Media Deutschland GmbH
Number of pages14
ISBN (Print)9783031079955
StatePublished - 1 Jan 2022
Event22nd International Conference on Group Decision and Negotiation, GDN 2022 - Virtual, Online
Duration: 12 Jun 202216 Jun 2022

Publication series

NameLecture Notes in Business Information Processing
Volume454 LNBIP
ISSN (Print)1865-1348
ISSN (Electronic)1865-1356


Conference22nd International Conference on Group Decision and Negotiation, GDN 2022
CityVirtual, Online


  • Circular city
  • Scoring methods
  • Spatial voting

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Management Information Systems
  • Business and International Management
  • Information Systems
  • Modeling and Simulation
  • Information Systems and Management


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