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Information aggregation with delegation of votes

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  • Amrita Dhillon
  • Grammateia Kotsialou
  • Dilip Ravindran
  • Dimitrios Xefteris

Abstract

Liquid democracy is a system that combines aspects of direct democracy and representative democracy by allowing voters to either vote directly themselves, or delegate their votes to others. In this paper we study the information aggregation properties of liquid democracy in a setting with heterogeneously informed truth-seeking voters -- who want the election outcome to match an underlying state of the world -- and partisan voters. We establish that liquid democracy admits equilibria which improve welfare and information aggregation over direct and representative democracy when voters' preferences and information precisions are publicly or privately known. Liquid democracy also admits equilibria which do worse than the other two systems. We discuss features of efficient and inefficient equilibria and provide conditions under which voters can more easily coordinate on the efficient equilibria in liquid democracy than the other two systems.

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  • Amrita Dhillon & Grammateia Kotsialou & Dilip Ravindran & Dimitrios Xefteris, 2023. "Information aggregation with delegation of votes," Papers 2306.03960, arXiv.org.
  • Handle: RePEc:arx:papers:2306.03960
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    1. Marx, Leslie M. & Swinkels, Jeroen M., 2000. "Order Independence for Iterated Weak Dominance," Games and Economic Behavior, Elsevier, vol. 31(2), pages 324-329, May.
    2. Bouton, Laurent & Castanheira, Micael & Llorente-Saguer, Aniol, 2016. "Divided majority and information aggregation: Theory and experiment," Journal of Public Economics, Elsevier, vol. 134(C), pages 114-128.
    3. Timothy Feddersen & Wolfgang Pesendorfer, 1997. "Voting Behavior and Information Aggregation in Elections with Private Information," Econometrica, Econometric Society, vol. 65(5), pages 1029-1058, September.
    4. Joseph Campbell & Alessandra Casella & Lucas de Lara & Victoria R. Mooers & Dilip Ravindran, 2022. "Liquid Democracy. Two Experiments on Delegation in Voting," NBER Working Papers 30794, National Bureau of Economic Research, Inc.
    5. Ahn, David S. & Oliveros, Santiago, 2016. "Approval voting and scoring rules with common values," Journal of Economic Theory, Elsevier, vol. 166(C), pages 304-310.
    6. Lloyd Shapley & Bernard Grofman, 1984. "Optimizing group judgmental accuracy in the presence of interdependencies," Public Choice, Springer, vol. 43(3), pages 329-343, January.
    7. Martin Shubik, 1970. "On homo politicus and the instant referendum," Public Choice, Springer, vol. 9(1), pages 79-84, September.
    8. Nitzan, Shmuel & Paroush, Jacob, 1982. "Optimal Decision Rules in Uncertain Dichotomous Choice Situations," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 23(2), pages 289-297, June.
    9. Austen-Smith, David & Banks, Jeffrey S., 1996. "Information Aggregation, Rationality, and the Condorcet Jury Theorem," American Political Science Review, Cambridge University Press, vol. 90(1), pages 34-45, March.
    10. Amrita Dhillon & Grammateia Kotsialou & Peter McBurney & Luke Riley, 2021. "Voting Over a Distributed Ledger: An Interdisciplinary Perspective," Foundations and Trends(R) in Microeconomics, now publishers, vol. 12(3), pages 200-268, September.
    11. Goertz, Johanna M.M. & Maniquet, François, 2011. "On the informational efficiency of simple scoring rules," Journal of Economic Theory, Elsevier, vol. 146(4), pages 1464-1480, July.
    12. César Martinelli, 2002. "Simple plurality versus plurality runoff with privately informed voters," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 19(4), pages 901-919.
    13. McMurray, Joseph, 2017. "Voting as communicating: Mandates, multiple candidates, and the signaling voter's curse," Games and Economic Behavior, Elsevier, vol. 102(C), pages 199-223.
    14. Dhillon, Amrita & Kotsialou, Grammateia & Xefteris, Dimitris, 2021. "Information Aggregation with Delegation of Votes," SocArXiv ubk7p, Center for Open Science.
    15. Dhillon, Amrita & Lockwood, Ben, 2004. "When are plurality rule voting games dominance-solvable?," Games and Economic Behavior, Elsevier, vol. 46(1), pages 55-75, January.
    16. Kenneth Shotts, 2006. "A Signaling Model of Repeated Elections," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 27(2), pages 251-261, October.
    17. James Green-Armytage, 2015. "Direct voting and proxy voting," Constitutional Political Economy, Springer, vol. 26(2), pages 190-220, June.
    18. Prato, Carlo & Wolton, Stephane, 2017. "Wisdom of the Crowd? Information Aggregation and Electoral Incentives," MPRA Paper 82753, University Library of Munich, Germany.
    19. Thomas Piketty, 2000. "Voting as Communicating," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 67(1), pages 169-191.
    20. Meirowitz, Adam & Shotts, Kenneth W., 2009. "Pivots versus signals in elections," Journal of Economic Theory, Elsevier, vol. 144(2), pages 744-771, March.
    21. Helios Herrera & Aniol Llorente-Saguer & Joseph C McMurray, 2019. "The Marginal Voter's Curse," The Economic Journal, Royal Economic Society, vol. 129(624), pages 3137-3153.
    22. Paulo Barelli & Sourav Bhattacharya & Lucas Siga, 2022. "Full Information Equivalence in Large Elections," Econometrica, Econometric Society, vol. 90(5), pages 2161-2185, September.
    23. McLennan, Andrew, 1998. "Consequences of the Condorcet Jury Theorem for Beneficial Information Aggregation by Rational Agents," American Political Science Review, Cambridge University Press, vol. 92(2), pages 413-418, June.
    24. Rajan, Uday, 1998. "Trembles in the Bayesian Foundations of Solution Concepts of Games," Journal of Economic Theory, Elsevier, vol. 82(1), pages 248-266, September.
    25. Sourav Bhattacharya, 2013. "Preference Monotonicity and Information Aggregation in Elections," Econometrica, Econometric Society, vol. 81(3), pages 1229-1247, May.
    26. James Miller, 1969. "A program for direct and proxy voting in the legislative process," Public Choice, Springer, vol. 7(1), pages 107-113, September.
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    1. Dhillon, Amrita & Kotsialou, Grammateia & Xefteris, Dimitris, 2021. "Information Aggregation with Delegation of Votes," SocArXiv ubk7p, Center for Open Science.

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