IDEAS home Printed from https://ideas.repec.org/a/eee/mateco/v46y2010i1p1-5.html
   My bibliography  Save this article

Recognizing one-dimensional Euclidean preference profiles

Author

Listed:
  • Knoblauch, Vicki

Abstract

A preference profile has a one-dimensional Euclidean representation if it can be derived from an arrangement of individuals and alternatives on a line, with each individual preferring the nearer of each pair of alternatives. We provide a polynomial-time algorithm that determines whether a given preference profile has a one-dimensional Euclidean representation and, if so, constructs one. This result has electoral and mechanism design applications.

Suggested Citation

  • Knoblauch, Vicki, 2010. "Recognizing one-dimensional Euclidean preference profiles," Journal of Mathematical Economics, Elsevier, vol. 46(1), pages 1-5, January.
  • Handle: RePEc:eee:mateco:v:46:y:2010:i:1:p:1-5
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0304-4068(09)00061-5
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Laslier, J.F., 1995. "Multivariate Analysis of Comparison Matrices," Papers 9504, Paris X - Nanterre, U.F.R. de Sc. Ec. Gest. Maths Infor..
    2. Eguia, Jon X., 2011. "Foundations of spatial preferences," Journal of Mathematical Economics, Elsevier, vol. 47(2), pages 200-205, March.
    3. Bogomolnaia, Anna & Laslier, Jean-Francois, 2007. "Euclidean preferences," Journal of Mathematical Economics, Elsevier, vol. 43(2), pages 87-98, February.
    4. Jean-François Laslier, 2003. "Analysing a preference and approval profile," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 20(2), pages 229-242, March.
    5. Unknown, 1986. "Letters," Choices: The Magazine of Food, Farm, and Resource Issues, Agricultural and Applied Economics Association, vol. 1(4), pages 1-9.
    6. Miguel Ángel Ballester & Guillaume Haeringer, 2006. "A Characterization of Single-Peaked Preferences," Working Papers 273, Barcelona School of Economics.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Smeulders, B., 2018. "Testing a mixture model of single-peaked preferences," Mathematical Social Sciences, Elsevier, vol. 93(C), pages 101-113.
    2. Azrieli, Yaron, 2011. "Axioms for Euclidean preferences with a valence dimension," Journal of Mathematical Economics, Elsevier, vol. 47(4-5), pages 545-553.
    3. Edith Elkind & Piotr Faliszewski & Piotr Skowron, 2020. "A characterization of the single-peaked single-crossing domain," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 54(1), pages 167-181, January.
    4. Chambers, Christopher P. & Echenique, Federico, 2020. "Spherical preferences," Journal of Economic Theory, Elsevier, vol. 189(C).
    5. Jiehua Chen & Martin Nollenburg & Sofia Simola & Anais Villedieu & Markus Wallinger, 2022. "Multidimensional Manhattan Preferences," Papers 2201.09691, arXiv.org.
    6. Jiehua Chen & Kirk R. Pruhs & Gerhard J. Woeginger, 2017. "The one-dimensional Euclidean domain: finitely many obstructions are not enough," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(2), pages 409-432, February.
    7. Eguia, Jon X., 2011. "Foundations of spatial preferences," Journal of Mathematical Economics, Elsevier, vol. 47(2), pages 200-205, March.
    8. Bredereck, Robert & Chen, Jiehua & Woeginger, Gerhard J., 2016. "Are there any nicely structured preference profiles nearby?," Mathematical Social Sciences, Elsevier, vol. 79(C), pages 61-73.
    9. Jon Eguia, 2013. "On the spatial representation of preference profiles," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 52(1), pages 103-128, January.
    10. Jiehua Chen & Sven Grottke, 2021. "Small one-dimensional Euclidean preference profiles," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 57(1), pages 117-144, July.
    11. Marie-Louise Lackner & Martin Lackner, 2017. "On the likelihood of single-peaked preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(4), pages 717-745, April.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Vicki Knoblauch, 2008. "Recognizing a Single-Issue Spatial Election," Working papers 2008-26, University of Connecticut, Department of Economics.
    2. Chambers, Christopher P. & Echenique, Federico, 2020. "Spherical preferences," Journal of Economic Theory, Elsevier, vol. 189(C).
    3. Naveen Durvasula, 2022. "Utility-Based Communication Requirements for Stable Matching in Large Markets," Papers 2212.04024, arXiv.org.
    4. Greco, Salvatore & Ishizaka, Alessio & Resce, Giuliano & Torrisi, Gianpiero, 2020. "Measuring well-being by a multidimensional spatial model in OECD Better Life Index framework," Socio-Economic Planning Sciences, Elsevier, vol. 70(C).
    5. Azrieli, Yaron, 2011. "Axioms for Euclidean preferences with a valence dimension," Journal of Mathematical Economics, Elsevier, vol. 47(4-5), pages 545-553.
    6. Geert Bekaert & Robert J. Hodrick, 2001. "Expectations Hypotheses Tests," Journal of Finance, American Finance Association, vol. 56(4), pages 1357-1394, August.
    7. Nakashima, Kiyotaka & Ogawa, Toshiaki, 2020. "The Impacts of Strengthening Regulatory Surveillance on Bank Behavior: A Dynamic Analysis from Incomplete to Complete Enforcement of Capital Regulation in Microprudential Policy," MPRA Paper 99938, University Library of Munich, Germany.
    8. Król, Michał, 2012. "Product differentiation decisions under ambiguous consumer demand and pessimistic expectations," International Journal of Industrial Organization, Elsevier, vol. 30(6), pages 593-604.
    9. G. Sujatha, 2018. "‘Is It Family or Politics?’ Reflections on Gender and the Modern Tamil Subjectivity Constitution in the Discourse of C. N. Annadurai," Studies in Indian Politics, , vol. 6(2), pages 267-281, December.
    10. repec:dgr:rugsom:04a27 is not listed on IDEAS
    11. Alhassan, Mustapha & Gustafson, Christopher R. & Schoengold, Karina, 2017. "Effects of Information Framing on Smallholder Irrigation Farmers’ Willingness to Pay for Groundwater Protection: The Case of Vea Irrigation Scheme in Ghana," 2017 Annual Meeting, July 30-August 1, Chicago, Illinois 258432, Agricultural and Applied Economics Association.
    12. Sergio Sousa, 2010. "Small-scale changes in wealth and attitudes toward risk," Discussion Papers 2010-11, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
    13. Laczó, Sarolta & Rossi, Raffaele, 2020. "Time-consistent consumption taxation," Journal of Monetary Economics, Elsevier, vol. 114(C), pages 194-220.
    14. Pratap, Sangeeta & Urrutia, Carlos, 2004. "Firm dynamics, investment and debt portfolio: balance sheet effects of the Mexican crisis of 1994," Journal of Development Economics, Elsevier, vol. 75(2), pages 535-563, December.
    15. D’Erasmo, P. & Mendoza, E.G. & Zhang, J., 2016. "What is a Sustainable Public Debt?," Handbook of Macroeconomics, in: J. B. Taylor & Harald Uhlig (ed.), Handbook of Macroeconomics, edition 1, volume 2, chapter 0, pages 2493-2597, Elsevier.
    16. Alain Egli, 2005. "Hotelling's Beach with Linear and Quadratic Transportation Costs: Existence of Pure Strategy Equilibria," Diskussionsschriften dp0509, Universitaet Bern, Departement Volkswirtschaft.
    17. T.R.L. Fry & R.D. Brooks & Br. Comley & J. Zhang, 1993. "Economic Motivations for Limited Dependent and Qualitative Variable Models," The Economic Record, The Economic Society of Australia, vol. 69(2), pages 193-205, June.
    18. Marc Henry & Ismael Mourifié, 2013. "Euclidean Revealed Preferences: Testing The Spatial Voting Model," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 28(4), pages 650-666, June.
    19. Rodolphe Dos Santos Ferreira & Frédéric Dufourt, 2013. "On Stabilization Policy in Sunspot-Driven Oligopolistic Economies," AMSE Working Papers 1337, Aix-Marseille School of Economics, France, revised 30 Jun 2013.
    20. Diego Esparza & Jessica Lucas & Enrique Martinez & James Meernik & Ignacio Molinero & Victoria Nevarez, 2020. "Movement of the people: Violence and internal displacement," International Area Studies Review, Center for International Area Studies, Hankuk University of Foreign Studies, vol. 23(3), pages 233-250, September.
    21. Matteo Iacoviello, 2008. "Household Debt and Income Inequality, 1963–2003," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 40(5), pages 929-965, August.

    More about this item

    Keywords

    Spatial elections Preference representation Mechanism design;

    JEL classification:

    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:mateco:v:46:y:2010:i:1:p:1-5. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/jmateco .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.