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

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  • 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
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    References listed on IDEAS

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    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, 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, 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, December.
    14. Anwar Shah, 2007. "Participatory Budgeting : Contents of CD Rom," World Bank Publications - Books, The World Bank Group, number 6639, December.
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    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

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