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Bargaining In Committees Of Representatives: The Optimal Voting Rule

  • Federico Valenciano

    ()

    (Universidad del País Vasco)

  • Annick Laruelle

    (Universidad de Alicante)

Committees are often made up of representatives of different-sized groups of individuals, and make decisions by means of a voting rule which specifies what vote configurations can pass a decision. This raises the question of the choice of the optimal voting rule, given the different sizes of the groups that members represent. In this paper we take a new departure to address this problem, assuming that the committee is a bargaining scenario in which negotiations take place 'in the shadow of the voting rule' in search of unanimous consensus. That is, a general agreement is looked for, but any winning coalition can enforce an agreement.

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Paper provided by Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie) in its series Working Papers. Serie AD with number 2005-24.

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Length: 15 pages
Date of creation: Sep 2005
Date of revision:
Publication status: Published by Ivie
Handle: RePEc:ivi:wpasad:2005-24
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  1. Salvador Barbera & Matthew O. Jackson, 2004. "On the Weights of Nations: Assigning Voting Weights in a Heterogeneous Union," Working Papers 2004.76, Fondazione Eni Enrico Mattei.
  2. Marco Mariotti, 2000. "Maximal symmetry and the Nash solution," Social Choice and Welfare, Springer, vol. 17(1), pages 45-53.
  3. Chae, Suchan & Heidhues, Paul, 2004. "A group bargaining solution," Mathematical Social Sciences, Elsevier, vol. 48(1), pages 37-53, July.
  4. Cai, Hongbin, 2000. "Bargaining on Behalf of a Constituency," Journal of Economic Theory, Elsevier, vol. 92(2), pages 234-273, June.
  5. Chae, Suchan & Moulin, Herve, 2004. "Bargaining among Groups: An Axiomatic Viewpoint," Working Papers 2004-01, Rice University, Department of Economics.
  6. Annick Laruelle & Mika Widgrén, 1998. "Is the allocation of voting power among EU states fair?," Public Choice, Springer, vol. 94(3), pages 317-339, March.
  7. Benoit, Jean-Pierre & Kornhauser, Lewis A., 2002. "Game-theoretic analysis of legal rules and institutions," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 3, chapter 60, pages 2229-2269 Elsevier.
  8. Annick Laruelle & Federico Valenciano, 2005. "Assessing success and decisiveness in voting situations," Social Choice and Welfare, Springer, vol. 24(1), pages 171-197, January.
  9. Haller, Hans & Holden, Steinar, 1997. "Ratification Requirement and Bargaining Power," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 38(4), pages 825-51, November.
  10. Motty Perry & Larry Samuelson, 1994. "Open- versus Closed-Door Negotiations," RAND Journal of Economics, The RAND Corporation, vol. 25(2), pages 348-359, Summer.
  11. Jun, Byoung Heon, 1989. "Non-cooperative Bargaining and Union Formation," Review of Economic Studies, Wiley Blackwell, vol. 56(1), pages 59-76, January.
  12. 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.
  13. Mariotti, Marco, 1999. "Fair Bargains: Distributive Justice and Nash Bargaining Theory," Review of Economic Studies, Wiley Blackwell, vol. 66(3), pages 733-41, July.
  14. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
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