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Enlargement and the Balance of Power: an Experimental Study

Author

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  • Maria Montero

    (School of Economics, University of Nottingham)

  • Martin Sefton

    (School of Economics, University of Nottingham)

  • Ping Zhang

    (School of Economics, University of Nottingham)

Abstract

Many important decisions are taken according to weighted majority rule. Power indices predict that enlargement of the voting body may affect the balance of power between the original members even if their number of votes and the decision rule remain constant. Some of the existing voters may actually gain, a phenomenon known as the paradox of new members. We test for this effect using laboratory experiments. Participants propose and vote on how to divide a budget according to weighted majority voting rules, and we measure the voting power of a player by his average payoff in the experiment. By comparing voting power across voting bodies of varying size, we find empirical support for the paradox of new members. Our results also allow an assessment of the predictive performance of standard power indices.

Suggested Citation

  • Maria Montero & Martin Sefton & Ping Zhang, 2005. "Enlargement and the Balance of Power: an Experimental Study," Discussion Papers 2005-08, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
    • Handle: RePEc:not:notcdx:2005-08
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    1. Simon G�chter & Arno Riedl, "undated". "Moral Property Rights in Bargaining," IEW - Working Papers 113, Institute for Empirical Research in Economics - University of Zurich.
    2. Dreyer, Jacob S & Schotter, Andrew, 1980. "Power Relationships in the International Monetary Fund: The Consequences of Quota Changes," The Review of Economics and Statistics, MIT Press, vol. 62(1), pages 97-106, February.
    3. Roth, Alvin, 2012. "The Shapley Value as a von Neumann-Morgenstern Utility," Ekonomicheskaya Politika / Economic Policy, Russian Presidential Academy of National Economy and Public Administration, vol. 6, pages 1-9.
    4. Moshé Machover & Dan S. Felsenthal, 2001. "The Treaty of Nice and qualified majority voting," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(3), pages 431-464.
    5. Okada, Akira & Riedl, Arno, 2005. "Inefficiency and social exclusion in a coalition formation game: experimental evidence," Games and Economic Behavior, Elsevier, vol. 50(2), pages 278-311, February.
    6. Roth, Alvin E & Murnighan, J Keith, 1982. "The Role of Information in Bargaining: An Experimental Study," Econometrica, Econometric Society, vol. 50(5), pages 1123-1142, September.
    7. J. Keith Murnighan & Alvin E. Roth, 1977. "The Effects of Communication and Information Availability in an Experimental Study of a Three-Person Game," Management Science, INFORMS, vol. 23(12), pages 1336-1348, August.
    8. Roth, Alvin E & Murnighan, J Keith & Schoumaker, Francoise, 1988. "The Deadline Effect in Bargaining: Some Experimental Evidence," American Economic Review, American Economic Association, vol. 78(4), pages 806-823, September.
    9. SCHMEIDLER, David, 1969. "The nucleolus of a characteristic function game," LIDAM Reprints CORE 44, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    10. Roth, Alvin E., 1977. "Utility functions for simple games," Journal of Economic Theory, Elsevier, vol. 16(2), pages 481-489, December.
    11. Frã‰Chette, Guillaume R. & Kagel, John H. & Lehrer, Steven F., 2003. "Bargaining in Legislatures: An Experimental Investigation of Open versus Closed Amendment Rules," American Political Science Review, Cambridge University Press, vol. 97(2), pages 221-232, May.
    12. Frechette, Guillaume R. & Kagel, John H. & Morelli, Massimo, 2005. "Gamson's Law versus non-cooperative bargaining theory," Games and Economic Behavior, Elsevier, vol. 51(2), pages 365-390, May.
    13. Laruelle, Annick & Valenciano, Federico, 2007. "Bargaining in committees as an extension of Nash's bargaining theory," Journal of Economic Theory, Elsevier, vol. 132(1), pages 291-305, January.
    14. Friedman,Daniel & Sunder,Shyam, 1994. "Experimental Methods," Cambridge Books, Cambridge University Press, number 9780521456821.
    15. Simon Gächter & Arno Riedl, 2005. "Moral Property Rights in Bargaining with Infeasible Claims," Management Science, INFORMS, vol. 51(2), pages 249-263, February.
    16. Dan S. Felsenthal & Moshé Machover, 1998. "The Measurement of Voting Power," Books, Edward Elgar Publishing, number 1489.
    17. Simon Gächter & Arno Riedl, 2006. "Dividing Justly in Bargaining Problems with Claims," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 27(3), pages 571-594, December.
    18. Gary E. Bolton & Kalyan Chatterjee & Kathleen L. McGinn, 2013. "How Communication Links Influence Coalition Bargaining: A Laboratory Investigation," World Scientific Book Chapters, in: Bargaining in the Shadow of the Market Selected Papers on Bilateral and Multilateral Bargaining, chapter 6, pages 113-128, World Scientific Publishing Co. Pte. Ltd..
    19. Shapley, L. S. & Shubik, Martin, 1954. "A Method for Evaluating the Distribution of Power in a Committee System," American Political Science Review, Cambridge University Press, vol. 48(3), pages 787-792, September.
    20. Morton Davis & Michael Maschler, 1965. "The kernel of a cooperative game," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 12(3), pages 223-259, September.
    21. Montero, Maria, 2006. "Noncooperative foundations of the nucleolus in majority games," Games and Economic Behavior, Elsevier, vol. 54(2), pages 380-397, February.
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    More about this item

    Keywords

    voting; power indices; experiments; paradox of new members;
    All these keywords.

    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • C92 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Group Behavior

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