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The Paradox of New Members: Strategic Foundations and Experimental Evidence

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  • Michalis Drouvelis

    (School of Economics, University of Nottingham)

  • Maria Montero

    ()
    (School of Economics, University of Nottingham)

  • Martin Sefton

    (School of Economics, University of Nottingham)

Abstract

Power indices suggest that adding new members to a 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 original members may actually gain, a phenomenon known as the paradox of new members. We show that the paradox can occur as an equilibrium of a noncooperative bargaining game based on the Baron-Ferejohn (1989) model of legislative bargaining. We implement this game in the laboratory and find empirical support for the paradox.

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Paper provided by The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham in its series Discussion Papers with number 2007-13.

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Date of creation: Dec 2007
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Handle: RePEc:not:notcdx:2007-13

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Keywords: voting; non-cooperative bargaining; power indices; experiments; paradox of new members;

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References

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  1. Frechette, Guillaume & Kagel, John H. & Morelli, Massimo, 2005. "Nominal bargaining power, selection protocol, and discounting in legislative bargaining," Journal of Public Economics, Elsevier, vol. 89(8), pages 1497-1517, August.
  2. Guillaume Fréchette & John H. Kagel & Massimo Morelli, 2005. "Behavioral Identification in Coalitional Bargaining: An Experimental Analysis of Demand Bargaining and Alternating Offers," Econometrica, Econometric Society, vol. 73(6), pages 1893-1937, November.
  3. Vidal-Puga, Juan J., 2008. "Forming coalitions and the Shapley NTU value," European Journal of Operational Research, Elsevier, vol. 190(3), pages 659-671, November.
  4. Montero, Maria, 2002. "Non-cooperative bargaining in apex games and the kernel," Games and Economic Behavior, Elsevier, vol. 41(2), pages 309-321, November.
  5. Norman,P., 2000. "Legislative bargaining and coalition formation," Working papers 12, Wisconsin Madison - Social Systems.
  6. Maria Montero, 2007. "The Paradox of New Members in the Council of Ministers: A Noncooperative Approach," Discussion Papers 2007-12, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
  7. Urs Fischbacher, 2007. "z-Tree: Zurich toolbox for ready-made economic experiments," Experimental Economics, Springer, vol. 10(2), pages 171-178, June.
  8. Tasos Kalandrakis, 2004. "Proposal Rights and Political Power," Wallis Working Papers WP38, University of Rochester - Wallis Institute of Political Economy.
  9. 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.
  10. 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.
  11. David Pérez-Castrillo & David Wettstein, . "Bidding For The Surplus: A Non-Cooperative Approach To The Shapley Value," UFAE and IAE Working Papers 461.00, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  12. Daniel Diermeier & Hulya Eraslan & Antonio Merlo, 2003. "A Structural Model of Government Formation," Econometrica, Econometric Society, vol. 71(1), pages 27-70, January.
  13. Greiner, Ben, 2004. "An Online Recruitment System for Economic Experiments," MPRA Paper 13513, University Library of Munich, Germany.
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Cited by:
  1. Michalis Drouvelis & Maria Montero & Martin Sefton, . "Gaining Power through Enlargement: Strategic Foundations and Experimental Evidence," Discussion Papers 09/30, Department of Economics, University of York.
  2. Guillaume R. Frechette & John H. Kagel & Massimo Morelli, 2010. "Pork Versus Public Goods: An Experimental Study of Public Good Provision Within a Legislative Bargaining Framework," Economics Working Papers ECO2010/37, European University Institute.
  3. Maria Montero, 2007. "The Paradox of New Members in the Council of Ministers: A Noncooperative Approach," Discussion Papers 2007-12, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
  4. John Kagel & Hankyoung Sung & Eyal Winter, 2010. "Veto power in committees: an experimental study," Experimental Economics, Springer, vol. 13(2), pages 167-188, June.
  5. Maria Montero, 2008. "Proportional Payoffs in Majority Games," Discussion Papers 2008-03, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
  6. Eric Guerci & Nobuyuki Hanaki & Naoki Watanabe & Gabriele Esposito & Xiaoyan Lu, 2011. "A Note on a Weighted Voting Experiment: Human Mistakes in Cooperative Games," Working Papers halshs-00645867, HAL.

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