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Lindahl meets Condorcet?

Author

Listed:
  • Sayantan Ghosal
  • Lukasz Woźny

Abstract

Although a Condorcet winner commands a majority in its favor, there is no guarantee of unanimity. In a Lindahl equilibrium, a suitably chosen system of personalized transfers and prices ensures unanimity, but there is no guarantee of a majority vote in its favor. Do Lindahl equilibria decentralize Condorcet winners? In a setting where voters’ preferences are satiated, characterized by bliss points, this paper proposes a new balancedness condition which is satisfied when a Condorcet winner lies within the interior of the convex hull of voters’ bliss points. We show that such a political compromise between the most preferred policies of different voter types can be decentralized as Lindahl equilibria.

Suggested Citation

  • Sayantan Ghosal & Lukasz Woźny, 2024. "Lindahl meets Condorcet?," Working Papers 2024_08, Business School - Economics, University of Glasgow.
    • Handle: RePEc:gla:glaewp:2024_08
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    References listed on IDEAS

    as
    1. Pivato, Marcus, 2015. "Condorcet meets Bentham," Journal of Mathematical Economics, Elsevier, vol. 59(C), pages 58-65.
    2. Caplin, Andrew & Nalebuff, Barry, 1991. "Aggregation and Social Choice: A Mean Voter Theorem," Econometrica, Econometric Society, vol. 59(1), pages 1-23, January.
    3. Foley, Duncan K, 1970. "Lindahl's Solution and the Core of an Economy with Public Goods," Econometrica, Econometric Society, vol. 38(1), pages 66-72, January.
    4. Carvajal, Andrés & Song, Xinxi, 2022. "Implementing Lindahl allocations in a warm-glow economy," Economics Letters, Elsevier, vol. 217(C).
    5. Roberts, Donald John, 1973. "Existence of Lindahl equilibrium with a measure space of consumers," Journal of Economic Theory, Elsevier, vol. 6(4), pages 355-381, August.
    6. Faruk Gul & Wolfgang Pesendorfer, 2020. "Lindahl Equilibrium as a Collective Choice Rule," Papers 2008.09932, arXiv.org, revised Aug 2020.
    7. Caplin, Andrew S & Nalebuff, Barry J, 1988. "On 64%-Majority Rule," Econometrica, Econometric Society, vol. 56(4), pages 787-814, July.
    8. Alessandra Casella & Aniol Llorente-Saguer & Thomas R. Palfrey, 2012. "Competitive Equilibrium in Markets for Votes," Journal of Political Economy, University of Chicago Press, vol. 120(4), pages 593-658.
    9. Amartya Sen, 2020. "Majority decision and Condorcet winners," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 54(2), pages 211-217, March.
    10. S. Ghosal & H. M. Polemarchakis, 1999. "Exchange and optimality," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 13(3), pages 629-642.
    11. Andreu Mas-Colell, 1980. "Efficiency and Decentralization in the Pure Theory of Public Goods," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 94(4), pages 625-641.
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    Keywords

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    JEL classification:

    • D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General
    • D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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