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Fair Allocation of Indivisible Goods and Money and Criteria of Justice

Author

Listed:
  • Gabrielle Demange

    (CECO - Laboratoire d'économétrie de l'École polytechnique - X - École polytechnique - IP Paris - Institut Polytechnique de Paris - CNRS - Centre National de la Recherche Scientifique)

  • Ahmet Alkan

    (Department of Management - Boǧaziçi üniversitesi = Boğaziçi University [Istanbul])

  • David Gale

    (Department of Economics [Berkeley] - UC Berkeley - University of California [Berkeley] - UC - University of California)

Abstract

A set of n objects and an amount M of money is to be distributed among m people. Example: the objects are tasks and the money is compensation from a fixed budget. An elementary argument via constrained optimization shows that for M sufficiently large the set of efficient, envy free allocations is nonempty and has a nice structure. In particular, various criteria of justice lead to unique best fair allocations that are well behaved with respect to changes of M. This is in sharp contrast to the usual fair division theory with divisible goods.

Suggested Citation

  • Gabrielle Demange & Ahmet Alkan & David Gale, 1991. "Fair Allocation of Indivisible Goods and Money and Criteria of Justice," Post-Print halshs-00670945, HAL.
    • Handle: RePEc:hal:journl:halshs-00670945
    as

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