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The Division Problem under Constraints

Author

Listed:
  • Gustavo Bergantiños
  • Jordi Massó
  • Alejandro Neme
Abstract
The division problem under constraints consists of allocating a given amount of an homogeneous and perfectly divisible good among a subset of agents with single-peaked preferences on an exogenously given interval of feasible allotments. We characterize axiomatically the family of extended uniform rules proposed to solve the division problem under constraints. Rules in this family extend the uniform rule used to solve the classical division problem without constraints. We show that the family of all extended uniform rules coincides with the set of rules satisfying efficiency, strategy-proofness, equal treatment of equals, bound monotonicity, consistency, and independence of irrelevant coalitions.

Suggested Citation

  • Gustavo Bergantiños & Jordi Massó & Alejandro Neme, 2013. "The Division Problem under Constraints," Working Papers 745, Barcelona School of Economics.
    • Handle: RePEc:bge:wpaper:745
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    References listed on IDEAS

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    7. Gustavo Bergantiños & Jordi Massó & Alejandro Neme, 2012. "The division problem with voluntary participation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 38(3), pages 371-406, March.
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    Cited by:

    1. Gustavo Bergantiños & Jordi Massó & Alejandro Neme, 2021. "Individually rational rules for the division problem when the number of units to be allotted is endogenous," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 23(2), pages 376-401, April.
    2. Kim, Sunyoung & Bergantiños, Gustavo & Chun, Youngsub, 2015. "The separability principle in single-peaked economies with participation constraints," Mathematical Social Sciences, Elsevier, vol. 78(C), pages 69-75.
    3. Gustavo Bergantiños & Jordi Massó & Alejandro Neme, 2018. "On societies choosing social outcomes, and their memberships: internal stability and consistency," Theory and Decision, Springer, vol. 84(1), pages 83-97, January.

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    More about this item

    Keywords

    Division Problem; Single-peaked preferences;

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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