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Voting with Interdependent Values: The Condorcet Winner

Author

Listed:
  • Alex Gershkov

    (Department of Economics, Hebrew University Jerusalem and School of Economics, University of Surrey)

  • Andreas Kleiner

    (Department of Economics, Arizona State University)

  • Benny Moldovanu

    (Department of Economics, University of Bonn)

  • Xianwen Shi

    (Department of Economics, University of Toronto)

Abstract

We generalize the standard, private values voting model with single-peaked preferences and incomplete information by introducing interdependent preferences. Our main results show how standard mechanisms that are outcome-equivalent and implement the Condorcet winner under complete information or under private values yield starkly different outcomes if values are interdependent. We also propose a new notion of Condorcet winner under incomplete information and interdependent preferences, and discuss its implementation. The new phenomena in this paper arise because diffrent voting rules (including dynamic ones) induce different processes of information aggregation and learning.

Suggested Citation

  • Alex Gershkov & Andreas Kleiner & Benny Moldovanu & Xianwen Shi, 2023. "Voting with Interdependent Values: The Condorcet Winner," ECONtribute Discussion Papers Series 243, University of Bonn and University of Cologne, Germany.
  • Handle: RePEc:ajk:ajkdps:243
    as

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    References listed on IDEAS

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    1. Moulin, Herve, 1979. "Dominance Solvable Voting Schemes," Econometrica, Econometric Society, vol. 47(6), pages 1137-1151, November.
    2. Gary Charness & Matthew Rabin, 2002. "Understanding Social Preferences with Simple Tests," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 117(3), pages 817-869.
    3. Alex Gershkov & Benny Moldovanu & Xianwen Shi, 2017. "Optimal Voting Rules," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 84(2), pages 688-717.
    4. Jehiel, Philippe & Moldovanu, Benny, 2001. "Efficient Design with Interdependent Valuations," Econometrica, Econometric Society, vol. 69(5), pages 1237-1259, September.
    5. Eddie Dekel & Michele Piccione, 2000. "Sequential Voting Procedures in Symmetric Binary Elections," Journal of Political Economy, University of Chicago Press, vol. 108(1), pages 34-55, February.
    6. Gruner, Hans Peter & Kiel, Alexandra, 2004. "Collective decisions with interdependent valuations," European Economic Review, Elsevier, vol. 48(5), pages 1147-1168, October.
    7. Philippe Jehiel & Moritz Meyer-ter-Vehn & Benny Moldovanu & William R. Zame, 2006. "The Limits of ex post Implementation," Econometrica, Econometric Society, vol. 74(3), pages 585-610, May.
    8. 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.
    9. Feng, Tangren & Niemeyer, Axel & Wu, Qinggong, 2023. "The limits of ex post implementation without transfers," Theoretical Economics, Econometric Society, vol. 18(2), May.
    10. S. Ali & Navin Kartik, 2012. "Herding with collective preferences," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 51(3), pages 601-626, November.
    11. Partha Dasgupta & Eric Maskin, 2020. "Strategy-Proofness, Independence of Irrelevant Alternatives, and Majority Rule," American Economic Review: Insights, American Economic Association, vol. 2(4), pages 459-474, December.
    12. Thomas Piketty, 2000. "Voting as Communicating," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 67(1), pages 169-191.
    13. Barberà, Salvador & Gerber, Anke, 2017. "Sequential voting and agenda manipulation," Theoretical Economics, Econometric Society, vol. 12(1), January.
    14. McKelvey, Richard D. & Niemi, Richard G., 1978. "A multistage game representation of sophisticated voting for binary procedures," Journal of Economic Theory, Elsevier, vol. 18(1), pages 1-22, June.
    15. Austen-Smith, David, 1987. "Sophisticated Sincerity: Voting Over Endogenous Agendas," American Political Science Review, Cambridge University Press, vol. 81(4), pages 1323-1330, December.
    16. Satterthwaite, Mark Allen, 1975. "Strategy-proofness and Arrow's conditions: Existence and correspondence theorems for voting procedures and social welfare functions," Journal of Economic Theory, Elsevier, vol. 10(2), pages 187-217, April.
    17. , & ,, 2013. "Specialization and partisanship in committee search," Theoretical Economics, Econometric Society, vol. 8(3), September.
    18. Gibbard, Allan, 1973. "Manipulation of Voting Schemes: A General Result," Econometrica, Econometric Society, vol. 41(4), pages 587-601, July.
    19. Rosar, Frank, 2015. "Continuous decisions by a committee: Median versus average mechanisms," Journal of Economic Theory, Elsevier, vol. 159(PA), pages 15-65.
    20. Lanny W. Martin & Georg Vanberg, 2014. "Parties and Policymaking in Multiparty Governments: The Legislative Median, Ministerial Autonomy, and the Coalition Compromise," American Journal of Political Science, John Wiley & Sons, vol. 58(4), pages 979-996, October.
    21. Andreas Kleiner & Benny Moldovanu, 2017. "Content-Based Agendas and Qualified Majorities in Sequential Voting," American Economic Review, American Economic Association, vol. 107(6), pages 1477-1506, June.
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    More about this item

    JEL classification:

    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior

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