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On the Equivalence of Simultaneous and Sequential Binary Elections

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  • Eddie Dekel
  • Michele Piccione

Abstract

We explore sequential voting in symmetric two-option environments. We show that the (informative) symmetric equilibria of the simultaneous voting game are also equilibria in any sequential voting structure. In unanimity games, (essentially) the whole set of equilibria is the same in all sequential structures. We also explore the relationship between simultaneous and sequential voting in other contexts. We illustrate several instances where sequential voting does no better at aggregating information than simultaneous voting. The inability of the sequential structure to use additional information in voting models is distinct from that in the herd-cascade literature.

Suggested Citation

  • Eddie Dekel & Michele Piccione, 1997. "On the Equivalence of Simultaneous and Sequential Binary Elections," Discussion Papers 1206, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    • Handle: RePEc:nwu:cmsems:1206
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    Cited by:

    1. 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.
    2. Ernst Maug & Bilge Yilmaz, "undated". "Two-Class Voting: A Mechanism for Conflict Resolution?," Rodney L. White Center for Financial Research Working Papers 4-00, Wharton School Rodney L. White Center for Financial Research.
    3. Ghosal, Sayantan & Lockwood, Ben, 2003. "Information Aggregation, Costly Voting And Common Values," The Warwick Economics Research Paper Series (TWERPS) 670, University of Warwick, Department of Economics.
    4. Kohnz, Simone, 2006. "Ratification quotas in international agreements," Discussion Papers in Economics 900, University of Munich, Department of Economics.
    5. Koessler, Frédéric & Noussair, Charles & Ziegelmeyer, Anthony, 2008. "Parimutuel betting under asymmetric information," Journal of Mathematical Economics, Elsevier, vol. 44(7-8), pages 733-744, July.
    6. Erik Eyster & Matthew Rabin, 2005. "Cursed Equilibrium," Econometrica, Econometric Society, vol. 73(5), pages 1623-1672, September.
    7. Ian Ayres & Colin Rowat & Nasser Zakariya, 2004. "Optimal two stage committee voting rules," Game Theory and Information 0412006, University Library of Munich, Germany.
    8. Morton, Rebecca B. & Williams, Kenneth C., 1999. "Information Asymmetries and Simultaneous versus Sequential Voting," American Political Science Review, Cambridge University Press, vol. 93(1), pages 51-67, March.
    9. Ernst Maug & Bilge Yilmaz, 2002. "Two-Class Voting: A Mechanism for Conflict Resolution," American Economic Review, American Economic Association, vol. 92(5), pages 1448-1471, December.
    10. Battaglini, Marco & Morton, Rebecca & Palfrey, Thomas, 2007. "Efficiency, Equity, and Timing of Voting Mechanisms," American Political Science Review, Cambridge University Press, vol. 101(3), pages 409-424, August.
    11. Angela A. Hung & Charles R. Plott, 2001. "Information Cascades: Replication and an Extension to Majority Rule and Conformity-Rewarding Institutions," American Economic Review, American Economic Association, vol. 91(5), pages 1508-1520, December.
    12. Inbar Aricha & Rann Smorodinsky, 2013. "Information elicitation and sequential mechanisms," International Journal of Game Theory, Springer;Game Theory Society, vol. 42(4), pages 931-946, November.
    13. Ernst Maug & Bilge Yilmaz, "undated". "Two-Class Voting: A Mechanism for Conflict Resolution?," Rodney L. White Center for Financial Research Working Papers 04-00, Wharton School Rodney L. White Center for Financial Research.

    More about this item

    JEL classification:

    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D80 - Microeconomics - - Information, Knowledge, and Uncertainty - - - General

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