Jump to ContentJump to Main Navigation
Party CompetitionAn Agent-Based Model$
Users without a subscription are not able to see the full content.

Michael Laver and Ernest Sergenti

Print publication date: 2011

Print ISBN-13: 9780691139036

Published to Princeton Scholarship Online: October 2017

DOI: 10.23943/princeton/9780691139036.001.0001

Show Summary Details
Page of

PRINTED FROM PRINCETON SCHOLARSHIP ONLINE (www.princeton.universitypressscholarship.com). (c) Copyright Princeton University Press, 2022. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in PRSO for personal use.date: 25 June 2022

Spatial Dynamics of Political Competition

Spatial Dynamics of Political Competition

(p.15) Chapter Two Spatial Dynamics of Political Competition
Party Competition

Michael Laver

Ernest Sergenti

Princeton University Press

This chapter sets up the core problem of the present volume. To demonstrate that this problem is analytically intractable, it uses results from a subfield of geometry that deals with “Voronoi tessellations” (or tilings) that has powerful applications in many disciplines. Largely unnoticed by political scientists, this work addresses a problem of “competitive spatial location” that is directly analogous to the problem of dynamic competition between a set of political parties competing with each other by offering rival policy programs. One result from this field is that the problem of competitive spatial location is intractable if the space concerned has more than one dimension, implying that there are no formally provable best-response strategies for this. This is an important and widely recognized justification for deploying computational methods, and the study of Voronoi tessellations is a major subfield in computational geometry.

Keywords:   spatial models, Voronoi tessellations, computational geometry, political parties, party competition, competitive spatial location

Princeton Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.

Please, subscribe or login to access full text content.

If you think you should have access to this title, please contact your librarian.

To troubleshoot, please check our FAQs , and if you can't find the answer there, please contact us.