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Protecting Minorities in Large Binary Elections: A Test of Storable Votes Using Field Data

Author

Listed:
  • Casella Alessandra

    (Columbia University)

  • Ehrenberg Shuky

    (JGB Capital)

  • Gelman Andrew

    (Columbia University)

  • Shen Jie

    (UC Irvine)

Abstract

The legitimacy of democratic systems requires the protection of minority preferences while ideally treating every voter equally. During the 2006 student elections at Columbia University, we asked voters to rank the importance of different contests and to choose where to cast a single extra "bonus vote," had one been available -- a simple version of Storable Votes. We then constructed distributions of intensities and electoral outcomes and estimated the probable impact of the bonus vote through bootstrapping techniques. The bonus vote performs well: when minority preferences are particularly intense, the minority wins at least one contest with 15-30 percent probability; when the minority wins, aggregate welfare increases with 85-95 percent probability. The paper makes two contributions: it tests the performance of storable votes in a setting where preferences were not controlled, and it suggests the use of bootstrapping techniques when appropriate replications of the data cannot be obtained.

Suggested Citation

  • Casella Alessandra & Ehrenberg Shuky & Gelman Andrew & Shen Jie, 2010. "Protecting Minorities in Large Binary Elections: A Test of Storable Votes Using Field Data," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 10(1), pages 1-35, October.
  • Handle: RePEc:bpj:bejeap:v:10:y:2010:i:1:n:98
    DOI: 10.2202/1935-1682.2560
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    References listed on IDEAS

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    1. Hortala-Vallve, Rafael & Llorente-Saguer, Aniol, 2010. "A simple mechanism for resolving conflict," Games and Economic Behavior, Elsevier, vol. 70(2), pages 375-391, November.
    2. JAMES G. MacKINNON, 2006. "Bootstrap Methods in Econometrics," The Economic Record, The Economic Society of Australia, vol. 82(s1), pages 2-18, September.
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    4. Chwe, Michael Suk-Young, 1999. "Minority Voting Rights Can Maximize Majority Welfare," American Political Science Review, Cambridge University Press, vol. 93(1), pages 85-97, March.
    5. Alessandra Casella & Thomas Palfrey & Raymond Riezman, 2013. "Minorities and Storable Votes," World Scientific Book Chapters, in: Raymond Riezman (ed.), International Trade Agreements and Political Economy, chapter 15, pages 247-282, World Scientific Publishing Co. Pte. Ltd..
    6. Casella, Alessandra & Gelman, Andrew, 2008. "A simple scheme to improve the efficiency of referenda," Journal of Public Economics, Elsevier, vol. 92(10-11), pages 2240-2261, October.
    7. Gerber, Elisabeth R. & Morton, Rebecca B. & Rietz, Thomas A., 1998. "Minority Representation in Multimember Districts," American Political Science Review, Cambridge University Press, vol. 92(1), pages 127-144, March.
    8. Casella, Alessandra, 2005. "Storable votes," Games and Economic Behavior, Elsevier, vol. 51(2), pages 391-419, May.
    9. Rafael Hortala-Vallve, 2012. "Qualitative voting," Journal of Theoretical Politics, , vol. 24(4), pages 526-554, October.
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    Cited by:

    1. Di Giannatale, Paolo & Passarelli, Francesco, 2013. "Voting chances instead of voting weights," Mathematical Social Sciences, Elsevier, vol. 65(3), pages 164-173.
    2. Casella, Alessandra & Sanchez, Luis, 2019. "Storable Votes and Quadratic Voting. An Experiment on Four California Propositions," CEPR Discussion Papers 13479, C.E.P.R. Discussion Papers.

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