IDEAS home Printed from https://ideas.repec.org/a/spr/joecth/v52y2013i1p103-128.html
   My bibliography  Save this article

On the spatial representation of preference profiles

Author

Listed:
  • Jon Eguia

Abstract

Given a set of alternatives with multiple attributes, I characterize the set of preference profiles that are representable by weighted versions of a class of utility functions indexed by a parameter δ > 0, where δ ≥ 1 corresponds to the set of Minkowski’s ( 1886 ) metric functions. In light of the starkly different consequences between representability with δ ≤ 1 or with δ > 1, I propose a test to empirically estimate δ and I discuss the theoretical and empirical implications for spatial models of political competition. Copyright Springer-Verlag 2013

Suggested Citation

  • 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.
    • Handle: RePEc:spr:joecth:v:52:y:2013:i:1:p:103-128
    DOI: 10.1007/s00199-011-0669-8
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s00199-011-0669-8
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s00199-011-0669-8?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

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

    References listed on IDEAS

    as
    1. Ruge-Murcia, Francisco J, 2003. "Inflation Targeting under Asymmetric Preferences," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 35(5), pages 763-785, October.
    2. Tasos Kalandrakis, 2006. "Regularity of pure strategy equilibrium points in a class of bargaining games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 28(2), pages 309-329, June.
    3. Kannai, Yakar, 1977. "Concavifiability and constructions of concave utility functions," Journal of Mathematical Economics, Elsevier, vol. 4(1), pages 1-56, March.
    4. Marcello D’Agostino & Valentino Dardanoni, 2009. "What’s so special about Euclidean distance?," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 33(2), pages 211-233, August.
    5. Westholm, Anders, 1997. "Distance versus Direction: The Illusory Defeat of the Proximity Theory of Electoral Choice," American Political Science Review, Cambridge University Press, vol. 91(4), pages 865-883, December.
    6. Norman Schofield, 2007. "The Mean Voter Theorem: Necessary and Sufficient Conditions for Convergent Equilibrium," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 74(3), pages 965-980.
    7. Simon Feeny, 2006. "Policy preferences in fiscal response studies," Journal of International Development, John Wiley & Sons, Ltd., vol. 18(8), pages 1167-1175.
    8. McKelvey, Richard D, 1979. "General Conditions for Global Intransitivities in Formal Voting Models," Econometrica, Econometric Society, vol. 47(5), pages 1085-1112, September.
    9. Krasa, Stefan & Polborn, Mattias, 2010. "Competition between Specialized Candidates," American Political Science Review, Cambridge University Press, vol. 104(4), pages 745-765, November.
    10. McKelvey, Richard D., 1976. "Intransitivities in multidimensional voting models and some implications for agenda control," Journal of Economic Theory, Elsevier, vol. 12(3), pages 472-482, June.
    11. Knoblauch, Vicki, 2010. "Recognizing one-dimensional Euclidean preference profiles," Journal of Mathematical Economics, Elsevier, vol. 46(1), pages 1-5, January.
    12. Clinton, Joshua & Jackman, Simon & Rivers, Douglas, 2004. "The Statistical Analysis of Roll Call Data," American Political Science Review, Cambridge University Press, vol. 98(2), pages 355-370, May.
    13. Norman Schofield, 2007. "Political equilibria with electoral uncertainty," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 28(3), pages 461-490, April.
    14. McKelvey, Richard D & Schofield, Norman, 1987. "Generalized Symmetry Conditions at a Core Point," Econometrica, Econometric Society, vol. 55(4), pages 923-933, July.
    15. Anthony Downs, 1957. "An Economic Theory of Political Action in a Democracy," Journal of Political Economy, University of Chicago Press, vol. 65(2), pages 135-135.
    16. Heller, Peter S, 1975. "A Model of Public Fiscal Behavior in Developing Countries: Aid, Investment, and Taxation," American Economic Review, American Economic Association, vol. 65(3), pages 429-445, June.
    17. Grynaviski, Jeffrey D. & Corrigan, Bryce E., 2006. "Specification Issues in Proximity Models of Candidate Evaluation (with Issue Importance)," Political Analysis, Cambridge University Press, vol. 14(4), pages 393-420, October.
    18. Candeal-Haro, Juan Carlos & Indurain-Eraso, Esteban, 1995. "A Note on Linear Utility," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 6(3), pages 519-522, November.
    19. Banks, Jeffrey S. & Duggan, John, 2008. "A Dynamic Model of Democratic Elections in Multidimensional Policy Spaces," Quarterly Journal of Political Science, now publishers, vol. 3(3), pages 269-299, October.
    20. Andrei Gomberg & Francisco Marhuenda & Ignacio Ortuño-Ortín, 2004. "A model of endogenous political party platforms," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 24(2), pages 373-394, August.
    21. Kramer, Gerald H., 1977. "A dynamical model of political equilibrium," Journal of Economic Theory, Elsevier, vol. 16(2), pages 310-334, December.
    22. Özgür Evren, 2008. "On the existence of expected multi-utility representations," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 35(3), pages 575-592, June.
    23. Azrieli, Yaron, 2009. "Characterization of multidimensional spatial models of elections with a valence dimension," MPRA Paper 14513, University Library of Munich, Germany.
    24. Alan S. Blinder, 1997. "Distinguished Lecture on Economics in Government: What Central Bankers Could Learn from Academics--And Vice Versa," Journal of Economic Perspectives, American Economic Association, vol. 11(2), pages 3-19, Spring.
    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. Minqiang Li, 2014. "On Aumann and Serrano’s economic index of risk," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 55(2), pages 415-437, February.
    2. Chambers, Christopher P. & Echenique, Federico, 2020. "Spherical preferences," Journal of Economic Theory, Elsevier, vol. 189(C).
    3. Chen, Daniel L. & Michaeli, Moti & Spiro, Daniel, 2023. "Non-confrontational extremists," European Economic Review, Elsevier, vol. 157(C).
    4. Hallman, Alice & Spiro, Daniel, 2023. "A theory of hypocrisy," Journal of Economic Behavior & Organization, Elsevier, vol. 211(C), pages 401-410.
    5. Chen, Daniel L. & Michaeli, Moti & Spiro, Daniel, 2016. "Ideological Perfectionism," IAST Working Papers 16-47, Institute for Advanced Study in Toulouse (IAST).

    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. Eguia, Jon X., 2011. "Foundations of spatial preferences," Journal of Mathematical Economics, Elsevier, vol. 47(2), pages 200-205, March.
    2. Norman Schofield, 2007. "Modelling Politics," ICER Working Papers 33-2007, ICER - International Centre for Economic Research.
    3. Martínez-Mora, Francisco & Puy, M. Socorro, 2014. "The determinants and electoral consequences of asymmetric preferences," European Journal of Political Economy, Elsevier, vol. 33(C), pages 85-97.
    4. Tovey, Craig A., 2010. "The instability of instability of centered distributions," Mathematical Social Sciences, Elsevier, vol. 59(1), pages 53-73, January.
    5. Norman Schofield, 1995. "Coalition Politics," Journal of Theoretical Politics, , vol. 7(3), pages 245-281, July.
    6. Daniel Diermeier & Keith Krehbiel, 2003. "Institutionalism as a Methodology," Journal of Theoretical Politics, , vol. 15(2), pages 123-144, April.
    7. Bernard Grofman & Thomas Brunell & Scott Feld, 2012. "Towards a theory of bicameralism: the neglected contributions of the calculus of consent," Public Choice, Springer, vol. 152(1), pages 147-161, July.
    8. Krehbiel, Keith & Diermeier, Daniel, 2001. "Institutionalism as a Methodology," Research Papers 1699, Stanford University, Graduate School of Business.
    9. Banks, Jeffrey S. & Duggan, John, 2008. "A Dynamic Model of Democratic Elections in Multidimensional Policy Spaces," Quarterly Journal of Political Science, now publishers, vol. 3(3), pages 269-299, October.
    10. De Donder, Philippe & Gallego, Maria, 2017. "Electoral Competition and Party Positioning," TSE Working Papers 17-760, Toulouse School of Economics (TSE).
    11. Itai Sened, 1991. "Contemporary Theory of Institutions in Perspective," Journal of Theoretical Politics, , vol. 3(4), pages 379-402, October.
    12. Norman Schofield, 2013. "The “probability of a fit choice”," Review of Economic Design, Springer;Society for Economic Design, vol. 17(2), pages 129-150, June.
    13. Andina-Díaz, Ascensión & Feri, Francesco & Meléndez-Jiménez, Miguel A., 2021. "Institutional flexibility, political alternation, and middle-of-the-road policies," Journal of Public Economics, Elsevier, vol. 204(C).
    14. Kenneth Koford, 1982. "Centralized vote-trading," Public Choice, Springer, vol. 39(2), pages 245-268, January.
    15. César Martinelli & John Duggan, 2014. "The Political Economy of Dynamic Elections: A Survey and Some New Results," Working Papers 1403, Centro de Investigacion Economica, ITAM.
    16. C.Y. Cyrus Chu & Meng-Yu Liang, 2022. "Why Are All Communist Countries Dictatorial?," IEAS Working Paper : academic research 22-A002, Institute of Economics, Academia Sinica, Taipei, Taiwan.
    17. Banks, Jeffrey S. & Duggan, John & Le Breton, Michel, 2002. "Bounds for Mixed Strategy Equilibria and the Spatial Model of Elections," Journal of Economic Theory, Elsevier, vol. 103(1), pages 88-105, March.
    18. Jacob Bower-Bir & William Bianco & Nicholas D’Amico & Christopher Kam & Itai Sened & Regina Smyth, 2015. "Predicting majority rule: Evaluating the uncovered set and the strong point," Journal of Theoretical Politics, , vol. 27(4), pages 650-672, October.
    19. Vincent Anesi, 2012. "A new old solution for weak tournaments," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 39(4), pages 919-930, October.
    20. Katsuya Kobayashi & Hideo Konishi, 2016. "Endogenous party structure," Economics of Governance, Springer, vol. 17(4), pages 317-351, November.

    More about this item

    Keywords

    Utility representation; Spatial models; Multidimensional preferences; Spatial representation; D81; D72;
    All these keywords.

    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • 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:spr:joecth:v:52:y:2013:i:1:p:103-128. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.