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A Weak Bargaining Set for Contract Choice Problems

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  • Lahiri, Somdeb

Abstract

In this paper, we consider the problem of choosing a set of multi-party contracts, where each coalition of agents has a non-empty finite set of feasible contracts to choose from. We call such problems, contract choice problems. The main result of this paper states that every contract choice problem has a non-empty weak bargaining set. The need for such a solution concept which is considerably weaker than the core arises, since it is well known that even for very simple contract choice problems, the core may be empty. We also show by means of an example that the bargaining set due to Mas-Colell (1989), as well as a weaker version of it, may be empty for contract choice problems, thereby implying that the weakening we suggest is in some ways 'tight'

Suggested Citation

  • Lahiri, Somdeb, 2006. "A Weak Bargaining Set for Contract Choice Problems," Coalition Theory Network Working Papers 12167, Fondazione Eni Enrico Mattei (FEEM).
    • Handle: RePEc:ags:feemct:12167
    DOI: 10.22004/ag.econ.12167
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    File URL: https://ageconsearch.umn.edu/record/12167/files/wp060019.pdf
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    References listed on IDEAS

    as
    1. Somdeb Lahiri, 2005. "Stable Outcomes for Two-Sided Contract Choice Problems," Computational and Mathematical Organization Theory, Springer, vol. 10(4), pages 323-334, January.
    2. Roth,Alvin E. & Sotomayor,Marilda A. Oliveira, 1992. "Two-Sided Matching," Cambridge Books, Cambridge University Press, number 9780521437882.
    3. Klijn, Flip & Masso, Jordi, 2003. "Weak stability and a bargaining set for the marriage model," Games and Economic Behavior, Elsevier, vol. 42(1), pages 91-100, January.
    4. Alkan, Ahmet, 1988. "Nonexistence of stable threesome matchings," Mathematical Social Sciences, Elsevier, vol. 16(2), pages 207-209, October.
    5. Roth, Alvin E. & Sotomayor, Marilda, 1996. "Stable Outcomes in Discrete and Continuous Models of Two-Sided Matching: a Unified Treatment," Brazilian Review of Econometrics, Sociedade Brasileira de Econometria - SBE, vol. 16(2), November.
    6. Lahiri, S., 2004. "Stable outcomes for contract choice problems," Pure Mathematics and Applications, Department of Mathematics, Corvinus University of Budapest, vol. 15(4), pages 409-418.
    7. Mas-Colell, Andreu, 1989. "An equivalence theorem for a bargaining set," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 129-139, April.
    8. Shapley, Lloyd & Scarf, Herbert, 1974. "On cores and indivisibility," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 23-37, March.
    9. Zhou Lin, 1994. "A New Bargaining Set of an N-Person Game and Endogenous Coalition Formation," Games and Economic Behavior, Elsevier, vol. 6(3), pages 512-526, May.
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    Cited by:

    1. Felix Brandt & Paul Harrenstein, 2010. "Characterization of dominance relations in finite coalitional games," Theory and Decision, Springer, vol. 69(2), pages 233-256, August.

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    More about this item

    Keywords

    Financial Economics;

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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