IDEAS home Printed from https://ideas.repec.org/a/eee/gamebe/v142y2023icp193-208.html
   My bibliography  Save this article

Voting with interdependent values: The Condorcet winner

Author

Listed:
  • Gershkov, Alex
  • Kleiner, Andreas
  • Moldovanu, Benny
  • Shi, Xianwen

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 different voting rules (including dynamic ones) induce different processes of information aggregation and learning.

Suggested Citation

  • Gershkov, Alex & Kleiner, Andreas & Moldovanu, Benny & Shi, Xianwen, 2023. "Voting with interdependent values: The Condorcet winner," Games and Economic Behavior, Elsevier, vol. 142(C), pages 193-208.
    • Handle: RePEc:eee:gamebe:v:142:y:2023:i:c:p:193-208
    DOI: 10.1016/j.geb.2023.08.004
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0899825623001161
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.geb.2023.08.004?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    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.
    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. Alex Gershkov & Andreas Kleiner & Benny Moldovanu & Xianwen Shi, 2019. "The Art of Compromising: Voting with Interdependent Values and the Flag of the Weimar Republic," Working Papers tecipa-645, University of Toronto, Department of Economics.
    2. Andreas Kleiner & Benny Moldovanu, 2020. "The failure of a Nazi “killer” amendment," Public Choice, Springer, vol. 183(1), pages 133-149, April.
    3. repec:hal:pseose:halshs-00564976 is not listed on IDEAS
    4. X. Ruiz del Portal, 2012. "Conditions for incentive compatibility in models with multidimensional allocation functions and one-dimensional types," Review of Economic Design, Springer;Society for Economic Design, vol. 16(4), pages 311-321, December.
    5. Raphael Godefroy & Eduardo Perez‐Richet, 2013. "Choosing Choices: Agenda Selection With Uncertain Issues," Econometrica, Econometric Society, vol. 81(1), pages 221-253, January.
    6. Barberà, Salvador & Berga, Dolors & Moreno, Bernardo, 2022. "Restricted environments and incentive compatibility in interdependent values models," Games and Economic Behavior, Elsevier, vol. 131(C), pages 1-28.
    7. Jehiel, Philippe & Meyer-ter-Vehn, Moritz & Moldovanu, Benny, 2012. "Locally robust implementation and its limits," Journal of Economic Theory, Elsevier, vol. 147(6), pages 2439-2452.
    8. Hao Li & Sherwin Rosen & Wing Suen, 2001. "Conflicts and Common Interests in Committees," American Economic Review, American Economic Association, vol. 91(5), pages 1478-1497, December.
    9. Mackenzie, Andrew & Zhou, Yu, 2022. "Menu mechanisms," Journal of Economic Theory, Elsevier, vol. 204(C).
    10. Jacob K. Goeree & Alexey Kushnir, 2011. "On the equivalence of Bayesian and dominant strategy implementation in a general class of social choice problems," ECON - Working Papers 021, Department of Economics - University of Zurich.
    11. Che, Yeon-Koo & Kim, Jinwoo & Kojima, Fuhito, 2015. "Efficient assignment with interdependent values," Journal of Economic Theory, Elsevier, vol. 158(PA), pages 54-86.
    12. 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.
    13. Gersbach, Hans & Tejada, Oriol, 2020. "Semi-flexible Majority Rules for Public Good Provision," CEPR Discussion Papers 15099, C.E.P.R. Discussion Papers.
    14. Souvik Roy & Soumyarup Sadhukhan, 2019. "A characterization of random min–max domains and its applications," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 68(4), pages 887-906, November.
    15. Patrick Hummel & Brian Knight, 2015. "Sequential Or Simultaneous Elections? A Welfare Analysis," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 56(3), pages 851-887, August.
    16. Hiroki Saitoh, 2022. "Characterization of tie-breaking plurality rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 59(1), pages 139-173, July.
    17. moldovanu, benny, 2018. "A Nazi †Killer†Amendment," CEPR Discussion Papers 13260, C.E.P.R. Discussion Papers.
    18. Maskin, Eric & Sjostrom, Tomas, 2002. "Implementation theory," Handbook of Social Choice and Welfare,in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 1, chapter 5, pages 237-288 Elsevier.
    19. Philippe Jehiel & Laurent Lamy, 2018. "A Mechanism Design Approach to the Tiebout Hypothesis," Journal of Political Economy, University of Chicago Press, vol. 126(2), pages 735-760.
    20. Corchón, Luis C., 2008. "The theory of implementation : what did we learn?," UC3M Working papers. Economics we081207, Universidad Carlos III de Madrid. Departamento de Economía.
    21. Messer, Kent D. & Poe, Gregory L. & Rondeau, Daniel & Schulze, William D. & Vossler, Christian A., 2010. "Social preferences and voting: An exploration using a novel preference revealing mechanism," Journal of Public Economics, Elsevier, vol. 94(3-4), pages 308-317, April.

    More about this item

    Keywords

    Sequential voting; Interdependent values; Incomplete information; Condorcet winner;
    All these keywords.

    JEL classification:

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

    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:eee:gamebe:v:142:y:2023:i:c:p:193-208. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/622836 .

    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.