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Bargaining among groups: an axiomatic viewpoint

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  • Suchan Chae

    ()

  • Hervé Moulin

    ()

Abstract

We introduce a model of bargaining among groups, and characterize a family of solutions using a Consistency axiom and a few other invariance and monotonicity properties. For each solution in the family, there exists some constant alpha >= 0 such that the "bargaining power" of a group is proportional to calpha where c is the cardinality of the group.

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File URL: http://hdl.handle.net/10.1007/s00182-009-0157-6
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Bibliographic Info

Article provided by Springer in its journal International Journal of Game Theory.

Volume (Year): 39 (2010)
Issue (Month): 1 (March)
Pages: 71-88

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Handle: RePEc:spr:jogath:v:39:y:2010:i:1:p:71-88

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Related research

Keywords: Bargaining solution; Group bargaining; Joint bargaining paradox;

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References

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  1. Kalai, Ehud, 1977. "Proportional Solutions to Bargaining Situations: Interpersonal Utility Comparisons," Econometrica, Econometric Society, vol. 45(7), pages 1623-30, October.
  2. Jun, Byoung Heon, 1989. "Non-cooperative Bargaining and Union Formation," Review of Economic Studies, Wiley Blackwell, vol. 56(1), pages 59-76, January.
  3. Horn, Henrik & Wolinsky, Asher, 1988. "Worker Substitutability and Patterns of Unionisation," Economic Journal, Royal Economic Society, vol. 98(391), pages 484-97, June.
  4. repec:cup:cbooks:9780521343831 is not listed on IDEAS
  5. Thomson, A., 1989. "The Consistency Principle," RCER Working Papers 192, University of Rochester - Center for Economic Research (RCER).
  6. Chae, Suchan & Heidhues, Paul, 2004. "A group bargaining solution," Mathematical Social Sciences, Elsevier, vol. 48(1), pages 37-53, July.
  7. Lensberg, Terje, 1988. "Stability and the Nash solution," Journal of Economic Theory, Elsevier, vol. 45(2), pages 330-341, August.
  8. Aumann, Robert J. & Maschler, Michael, 1985. "Game theoretic analysis of a bankruptcy problem from the Talmud," Journal of Economic Theory, Elsevier, vol. 36(2), pages 195-213, August.
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Citations

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Cited by:
  1. Gustavo Bergantiños & Balbina Casas- Méndez & Gloria Fiestras- Janeiro & Juan Vidal-Puga, 2005. "A Focal-Point Solution for Bargaining Problems with Coalition Structure," Game Theory and Information 0511006, EconWPA.
  2. Vidal-Puga, Juan, 2012. "The Harsanyi paradox and the “right to talk” in bargaining among coalitions," Mathematical Social Sciences, Elsevier, vol. 64(3), pages 214-224.
  3. Philip Bond & Hülya Eraslan, 2004. "Strategic Voting over Strategic Proposals, Second Version," PIER Working Paper Archive 07-014, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 02 Jan 2007.
  4. Bergantinos, G. & Casas-Mendez, B. & Fiestras-Janeiro, M.G. & Vidal-Puga, J.J., 2007. "A solution for bargaining problems with coalition structure," Mathematical Social Sciences, Elsevier, vol. 54(1), pages 35-58, July.
  5. Federico Valenciano & Annick Laruelle, 2005. "Bargaining In Committees Of Representatives: The Optimal Voting Rule," Working Papers. Serie AD 2005-24, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).

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