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Equilibria in Markets with Indivisible Goods

Author

Listed:
  • Danilov, V.

    (CEMI RAS, Moscow, Russia)

  • Koshevoy, G.

    (CEMI RAS, Moscow, Russia)

  • Lang, C.

    (FINMA, Bern, Switzerland)

Abstract

We discuss the existence of equilibria in ecomomies with indivisible goods. The reasons for which existence of equilibria obtains or not are described. We discuss previous papers on this topic whose results are based on the assumption that goods are gross substitutes. Alternatively in this paper we consider the case where the goods are complement each other.

Suggested Citation

  • Danilov, V. & Koshevoy, G. & Lang, C., 2013. "Equilibria in Markets with Indivisible Goods," Journal of the New Economic Association, New Economic Association, vol. 18(2), pages 10-34.
  • Handle: RePEc:nea:journl:y:2013:i:18:p:10-34
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    File URL: http://www.econorus.org/repec/journl/2013-18-10-34r.pdf
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    References listed on IDEAS

    as
    1. John William Hatfield & Scott Duke Kominers & Alexandru Nichifor & Michael Ostrovsky & Alexander Westkamp, 2013. "Stability and Competitive Equilibrium in Trading Networks," Journal of Political Economy, University of Chicago Press, vol. 121(5), pages 966-1005.
    2. Bevia, Carmen & Quinzii, Martine & Silva, Jose A., 1999. "Buying several indivisible goods," Mathematical Social Sciences, Elsevier, vol. 37(1), pages 1-23, January.
    3. Gul, Faruk & Stacchetti, Ennio, 1999. "Walrasian Equilibrium with Gross Substitutes," Journal of Economic Theory, Elsevier, vol. 87(1), pages 95-124, July.
    4. Ning Sun & Zaifu Yang, 2006. "Equilibria and Indivisibilities: Gross Substitutes and Complements," Econometrica, Econometric Society, vol. 74(5), pages 1385-1402, September.
    5. Henry, Claude, 1970. "Indivisibilites dans une Economie d'Echanges. (With English summary.)," Econometrica, Econometric Society, vol. 38(3), pages 542-558, May.
    6. Weyl, E. Glen & White, Alexander & Azevedo, Eduardo M., 2013. "Walrasian equilibrium in large, quasi-linear markets," Theoretical Economics, Econometric Society, vol. 8(2), May.
    7. 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.
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    Citations

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    Cited by:

    1. G. A. Koshevoy, 2016. "Stability of rejections and Stable Many-to-Many Matchings," Documents de recherche 16-02, Centre d'Études des Politiques Économiques (EPEE), Université d'Evry Val d'Essonne.
    2. Elizabeth Baldwin & Paul Klemperer, 2015. "Understanding Preferences: “Demand Types”, and the Existence of Equilibrium with Indivisibilities," Economics Papers 2015-W10, Economics Group, Nuffield College, University of Oxford.
    3. Satoru Fujishige & Zaifu Yang, 2002. "Existence of an Equilibrium in a General Competitive Exchange Economy with Indivisible Goods and Money," Annals of Economics and Finance, Society for AEF, vol. 3(1), pages 135-147, May.

    More about this item

    Keywords

    gross substitution; complementary goods; unimodular systems; laminar systems; concave function;

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies

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