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The Nonatomic Assignment Model

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Listed:
  • Neil E. Gretsky

    (UCLA)

  • Joseph M. Ostroy

    (UCLA)

  • William R. Zame

    (UCLA)

Abstract

We formulate a model with a continuum of individuals to be assigned to a continuum of different positions which is an extension of the finite housing market version due to Shapley and Shubik. We show that optimal solutions to such a model exist and have properties similar to those established for finite models, namely, an equivalence among the following: (1) optimal solutions to the linear programming problem (and its dual) associated with the assignment model; (2) the core of the associated market game; and (3) the Walrasian equilibria of the associated market economy.
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Suggested Citation

  • Neil E. Gretsky & Joseph M. Ostroy & William R. Zame, 1990. "The Nonatomic Assignment Model," UCLA Economics Working Papers 605, UCLA Department of Economics.
  • Handle: RePEc:cla:uclawp:605
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    References listed on IDEAS

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    1. Gerard Debreu, 1963. "On a Theorem of Scarf," Review of Economic Studies, Oxford University Press, vol. 30(3), pages 177-180.
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