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One man, one bid

Author

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  • Goeree, Jacob K.
  • Zhang, Jingjing
Abstract
We compare two mechanisms to implement a simple binary choice, e.g. adopt one of two proposals. We show that when neither alternative is ex ante preferred, simple majority voting cannot implement the first best outcome. We introduce a simple bidding mechanism where votes can be bought at a quadratic cost and voters receive rebates equal to the average of others' payments. This mechanism is budget-balanced, individually rational, and fully efficient in the limit. Moreover, the mechanism redistributes from those that gain from the outcome to those that lose and everyone is better off under bidding compared to voting. We test the two mechanisms in the lab using an environment with “moderate” and “extremist” voters. The observed efficiency losses under voting are close to theoretical predictions and significantly larger than under bidding. Because of redistribution, the efficiency gain from bidding benefits mostly the moderate voters.

Suggested Citation

  • Goeree, Jacob K. & Zhang, Jingjing, 2017. "One man, one bid," Games and Economic Behavior, Elsevier, vol. 101(C), pages 151-171.
    • Handle: RePEc:eee:gamebe:v:101:y:2017:i:c:p:151-171
    DOI: 10.1016/j.geb.2016.10.003
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    Cited by:

    1. Nikolas Tsakas & Dimitrios Xefteris & Nicholas Ziros, 2021. "Vote Trading in Power-Sharing Systems: A Laboratory Investigation," The Economic Journal, Royal Economic Society, vol. 131(636), pages 1849-1882.
    2. Vragov, Roumen & Smith, Vernon, 2023. "A method for identifying parameterizations of the Compensation election and Quadratic voting that admit pure-strategy equilibria," Mathematical Social Sciences, Elsevier, vol. 122(C), pages 7-16.
    3. Yaron Azrieli, 2018. "The price of ‘one person, one vote’," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 50(2), pages 353-385, February.
    4. Martin F. Hellwig, 2021. "Social Choice in Large Populations with Single-Peaked Preferences," Discussion Paper Series of the Max Planck Institute for Research on Collective Goods 2021_18, Max Planck Institute for Research on Collective Goods.
    5. Alessandra Casella & Antonin Macé, 2021. "Does Vote Trading Improve Welfare?," Annual Review of Economics, Annual Reviews, vol. 13(1), pages 57-86, August.
    6. Casella, Alessandra & Macé, Antonin, 2020. "Does Vote Trading Improve Welfare?," CEPR Discussion Papers 15201, C.E.P.R. Discussion Papers.
    7. Xefteris, Dimitrios & Ziros, Nicholas, 2018. "Strategic vote trading under complete information," Journal of Mathematical Economics, Elsevier, vol. 78(C), pages 52-58.
    8. Jon X. Eguia & Dimitrios Xefteris, 2021. "Implementation by Vote-Buying Mechanisms," American Economic Review, American Economic Association, vol. 111(9), pages 2811-2828, September.
    9. Louis Kaplow & Scott Duke Kominers, 2017. "Who will vote quadratically? Voter turnout and votes cast under quadratic voting," Public Choice, Springer, vol. 172(1), pages 125-149, July.
    10. David K. Levine, 2020. "Radical Markets by Eric Posner and E. Glen Weyl: A Review Essay," Journal of Economic Literature, American Economic Association, vol. 58(2), pages 471-487, June.
    11. Hans Gersbach, 2022. "New Forms of Democracy," CESifo Working Paper Series 10134, CESifo.

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    More about this item

    Keywords

    Electoral design; Bidding versus voting; Experiments; Quantal response equilibrium;
    All these keywords.

    JEL classification:

    • C92 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Group Behavior

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