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Buying several indivisible goods

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Author Info

  • Carmen Beviá Baeza

    (Universidad Autónoma de Barcelona)

  • José Angel Silva Reus

    (Universidad de Alicante)

Abstract

This paper studies economies where agents exchange indivisible goods and money. Agents havepotencial use for all indivisible goods and the indivisible goods are differentiated. We assume thatagents have quasilinear utilities in money, have sufficiently money endowments to afford anygroup of objects priced below their reservation values, have reservation values which aresubmodular and satisfy the Cardinality Condition. This Cardinality Condition requires that for eachagent the marginal utility of an object only depends on the number of objects to which it is added,not an their characteristics. Under these assumptions, we show that the set of competitiveequilibrium prices is a non empty lattice and that, in any equilibrium, the price of an object isbetween the social value of the object and its second best use.

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File URL: http://www.ivie.es/downloads/docs/wpasad/wpasad-1997-27.pdf
File Function: Fisrt version / Primera version, 1997
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Bibliographic Info

Paper provided by Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie) in its series Working Papers. Serie AD with number 1997-27.

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Length: 37 pages
Date of creation: Dec 1997
Date of revision:
Publication status: Published by Ivie
Handle: RePEc:ivi:wpasad:1997-27

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Related research

Keywords: Indivisible goods; competitive equilibrium prices; prices lattice;

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References

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  1. Henry, Claude, 1970. "Indivisibilites dans une Economie d'Echanges. (With English summary.)," Econometrica, Econometric Society, vol. 38(3), pages 542-58, May.
  2. Kelso, Alexander S, Jr & Crawford, Vincent P, 1982. "Job Matching, Coalition Formation, and Gross Substitutes," Econometrica, Econometric Society, vol. 50(6), pages 1483-1504, November.
  3. Kaneko, Mamoru & Yamamoto, Yoshitsugu, 1986. "The existence and computation of competitive equilibria in markets with an indivisible commodity," Journal of Economic Theory, Elsevier, vol. 38(1), pages 118-136, February.
  4. Bikhchandani, Sushil & Mamer, John W., 1997. "Competitive Equilibrium in an Exchange Economy with Indivisibilities," Journal of Economic Theory, Elsevier, vol. 74(2), pages 385-413, June.
  5. Mamoru Kaneko, 1980. "The Central Assignment Game and the Assignment Markets," Cowles Foundation Discussion Papers 563, Cowles Foundation for Research in Economics, Yale University.
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