IDEAS home Printed from https://ideas.repec.org/p/zbw/kitwps/160.html
   My bibliography  Save this paper

Multi-dimensional social choice under frugal information: The Tukey median as Condorcet winner ex ante by

Author

Listed:
  • Nehring, Klaus
  • Puppe, Clemens

Abstract

We study a voting model with partial information in which the evaluation of social welfare must be based on information about agents' top choices plus qualitative background conditions on preferences. The former is elicited individually, while the latter is not. The social evaluator is modeled as an imprecise Bayesian characterized by a set of priors over voters' complete ordinal preference profiles. We apply this 'frugal aggregation' model to multi-dimensional budget allocation problems and propose a solution concept of 'ex-ante' Condorcet winners. We show that if the social evaluator has symmetrically ignorant beliefs over profiles of quadratic preferences, the ex-ante Condorcet winners refine the set of Tukey medians (Tukey, 1975).

Suggested Citation

  • Nehring, Klaus & Puppe, Clemens, 2023. "Multi-dimensional social choice under frugal information: The Tukey median as Condorcet winner ex ante by," Working Paper Series in Economics 160, Karlsruhe Institute of Technology (KIT), Department of Economics and Management.
    • Handle: RePEc:zbw:kitwps:160
    as

    Download full text from publisher

    File URL: https://www.econstor.eu/bitstream/10419/271096/1/1845179005.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Kelly, Jerry S, 1977. "Strategy-Proofness and Social Choice Functions without Singlevaluedness," Econometrica, Econometric Society, vol. 45(2), pages 439-446, March.
    2. 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.
    3. Demange, Gabrielle, 1982. "A limit theorem on the minmax set," Journal of Mathematical Economics, Elsevier, vol. 9(1-2), pages 145-164, January.
    4. Lin Zhou, 1991. "Impossibility of Strategy-Proof Mechanisms in Economies with Pure Public Goods," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 58(1), pages 107-119.
    5. Nehring, Klaus & Puppe, Clemens, 2022. "Condorcet solutions in frugal models of budget allocation," Working Paper Series in Economics 156, Karlsruhe Institute of Technology (KIT), Department of Economics and Management.
    6. Caplin, Andrew S & Nalebuff, Barry J, 1988. "On 64%-Majority Rule," Econometrica, Econometric Society, vol. 56(4), pages 787-814, July.
    7. Kramer, Gerald H., 1977. "A dynamical model of political equilibrium," Journal of Economic Theory, Elsevier, vol. 16(2), pages 310-334, December.
    8. Kelvin J. Lancaster, 1966. "A New Approach to Consumer Theory," Journal of Political Economy, University of Chicago Press, vol. 74(2), pages 132-132.
    9. Klaus Nehring, 2000. "A Theory of Rational Choice under Ignorance," Theory and Decision, Springer, vol. 48(3), pages 205-240, May.
    10. McKelvey, Richard D, 1979. "General Conditions for Global Intransitivities in Formal Voting Models," Econometrica, Econometric Society, vol. 47(5), pages 1085-1112, September.
    11. Grandmont, Jean-Michel, 1978. "Intermediate Preferences and the Majority Rule," Econometrica, Econometric Society, vol. 46(2), pages 317-330, March.
    12. Ehud Kalai & Eitan Muller & Mark Satterthwaite, 1979. "Social welfare functions when preferences are convex, strictly monotonic, and continuous," Public Choice, Springer, vol. 34(1), pages 87-97, March.
    13. Anwar Shah, 2007. "Participatory Budgeting," World Bank Publications - Books, The World Bank Group, number 6640.
    14. Anwar Shah, 2007. "Participatory Budgeting : Contents of CD Rom," World Bank Publications - Books, The World Bank Group, number 6639.
    Full references (including those not matched with items on IDEAS)

    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. Nehring, Klaus & Puppe, Clemens, 2022. "Condorcet solutions in frugal models of budget allocation," Working Paper Series in Economics 156, Karlsruhe Institute of Technology (KIT), Department of Economics and Management.
    2. Tovey, Craig A., 2010. "The instability of instability of centered distributions," Mathematical Social Sciences, Elsevier, vol. 59(1), pages 53-73, January.
    3. Tovey, Craig A., 2010. "A critique of distributional analysis in the spatial model," Mathematical Social Sciences, Elsevier, vol. 59(1), pages 88-101, January.
    4. Bade, Sophie, 2011. "Electoral competition with uncertainty averse parties," Games and Economic Behavior, Elsevier, vol. 72(1), pages 12-29, May.
    5. Caplin, Andrew & Nalebuff, Barry, 1991. "Aggregation and Imperfect Competition: On the Existence of Equilibrium," Econometrica, Econometric Society, vol. 59(1), pages 25-59, January.
    6. Tanner, Thomas Cole, 1994. "The spatial theory of elections: an analysis of voters' predictive dimensions and recovery of the underlying issue space," ISU General Staff Papers 1994010108000018174, Iowa State University, Department of Economics.
    7. Caplin, Andrew & Nalebuff, Barry, 1991. "Aggregation and Social Choice: A Mean Voter Theorem," Econometrica, Econometric Society, vol. 59(1), pages 1-23, January.
    8. 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.
    9. Nehring, Klaus & Puppe, Clemens, 2019. "Resource allocation by frugal majority rule," Working Paper Series in Economics 131, Karlsruhe Institute of Technology (KIT), Department of Economics and Management.
    10. Hervé Crès & M. Utku Ünver, 2010. "Ideology and Existence of 50%-Majority Equilibria in Multidimensional Spatial Voting Models," Journal of Theoretical Politics, , vol. 22(4), pages 431-444, October.
    11. 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.
    12. Norman Schofield, 1995. "Coalition Politics," Journal of Theoretical Politics, , vol. 7(3), pages 245-281, July.
    13. Sheely, Ryan, 2015. "Mobilization, Participatory Planning Institutions, and Elite Capture: Evidence from a Field Experiment in Rural Kenya," World Development, Elsevier, vol. 67(C), pages 251-266.
    14. Gerald H. Kramer, 1980. "Extension of a Dynamical Model of Political Equilibrium," Cowles Foundation Discussion Papers 556, Cowles Foundation for Research in Economics, Yale University.
    15. Banks, Jeffrey S. & Duggan, John & Le Breton, Michel, 2006. "Social choice and electoral competition in the general spatial model," Journal of Economic Theory, Elsevier, vol. 126(1), pages 194-234, January.
    16. Edward Wesep, 2012. "Defensive Politics," Public Choice, Springer, vol. 151(3), pages 425-444, June.
    17. Josep M. Colomer, 1999. "On the Geometry of Unanimity Rule," Journal of Theoretical Politics, , vol. 11(4), pages 543-553, October.
    18. Persson, Torsten & Tabellini, Guido, 2002. "Political economics and public finance," Handbook of Public Economics, in: A. J. Auerbach & M. Feldstein (ed.), Handbook of Public Economics, edition 1, volume 3, chapter 24, pages 1549-1659, Elsevier.
    19. Gersbach, Hans & Jackson, Matthew O. & Muller, Philippe & Tejada, Oriol, 2023. "Electoral competition with costly policy changes: A dynamic perspective," Journal of Economic Theory, Elsevier, vol. 214(C).
    20. Haris Aziz & Sujit Gujar & Manisha Padala & Mashbat Suzuki & Jeremy Vollen, 2022. "Coordinating Monetary Contributions in Participatory Budgeting," Papers 2206.05966, arXiv.org, revised Feb 2023.

    More about this item

    Keywords

    Social choice under partial information; participatory budgeting; frugal aggregation; ex-ante Condorcet approach; Tukey median;
    All these keywords.

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:zbw:kitwps:160. 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: ZBW - Leibniz Information Centre for Economics (email available below). General contact details of provider: https://edirc.repec.org/data/fwkitde.html .

    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.