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Simultaneous and Sequential Voting under General Decision Rules

Author

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  • Friedel Bolle

    () (Faculty of Business Administration and Economics, European University Viadrina, Frankfurt (Oder))

Abstract

In an economic theory of voting, voters have positive or negative costs of voting in favor of a proposal and positive or negative benefits from an accepted proposal. When votes have equal weight then simultaneous voting mostly has a unique pure strategy Nash equilibrium which is independent of benefits. Voting with respect to (arbitrarily small) costs alone, however, often results in voting against the “true majority” (Groseclose and Milyo, 2010). If voting is sequential as in the roll call votes of the US Senate then, in the unique subgame perfect equilibrium, the ”true majority” prevails (Groseclose and Milyo, 2013). It is shown that the result for sequential voting holds also with different weights of voters (shareholders), with multiple necessary majorities (EU decision making), or even more general rules. Simultaneous voting in the general model has more differentiated results.

Suggested Citation

  • Friedel Bolle, 2018. "Simultaneous and Sequential Voting under General Decision Rules," Discussion Paper Series RECAP15 29, RECAP15, European University Viadrina, Frankfurt (Oder).
  • Handle: RePEc:euv:dpaper:29
    as

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    File URL: https://www.europa-uni.de/de/forschung/institut/recap15/downloads/recap15_DP029.pdf
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    References listed on IDEAS

    as
    1. 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.
    2. repec:cup:apsrev:v:83:y:1989:i:04:p:1181-1206_08 is not listed on IDEAS
    3. Tim Groseclose & Jeffrey Milyo, 2013. "Sincere versus sophisticated voting when legislators vote sequentially," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(3), pages 745-751, March.
    4. Dekel, Eddie & Jackson, Matthew O. & Wolinsky, Asher, 2009. "Vote Buying: Legislatures and Lobbying," Quarterly Journal of Political Science, now publishers, vol. 4(2), pages 103-128, July.
    5. Steven Callander, 2007. "Bandwagons and Momentum in Sequential Voting," Review of Economic Studies, Oxford University Press, vol. 74(3), pages 653-684.
    6. Anthony Downs, 1957. "An Economic Theory of Political Action in a Democracy," Journal of Political Economy, University of Chicago Press, vol. 65, pages 135-135.
    7. Battaglini, Marco, 2005. "Sequential voting with abstention," Games and Economic Behavior, Elsevier, vol. 51(2), pages 445-463, May.
    8. Abhijit V. Banerjee, 1992. "A Simple Model of Herd Behavior," The Quarterly Journal of Economics, Oxford University Press, vol. 107(3), pages 797-817.
    9. Hillman, Arye L., 2010. "Expressive behavior in economics and politics," European Journal of Political Economy, Elsevier, vol. 26(4), pages 403-418, December.
    10. repec:kap:theord:v:83:y:2017:i:4:d:10.1007_s11238-017-9606-z is not listed on IDEAS
    11. repec:cup:apsrev:v:98:y:2004:i:02:p:355-370_00 is not listed on IDEAS
    Full references (including those not matched with items on IDEAS)

    More about this item

    Keywords

    Voting; free riding; binary decisions; unique pure strategy equilibria;

    JEL classification:

    • H41 - Public Economics - - Publicly Provided Goods - - - Public Goods
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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