IDEAS home Printed from https://ideas.repec.org/p/ivi/wpasad/1997-27.html
   My bibliography  Save this paper

Buying several indivisible goods

Author

Listed:
  • 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.

Suggested Citation

  • Carmen Beviá Baeza & José Angel Silva Reus, 1997. "Buying several indivisible goods," Working Papers. Serie AD 1997-27, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  • Handle: RePEc:ivi:wpasad:1997-27
    as

    Download full text from publisher

    File URL: http://www.ivie.es/downloads/docs/wpasad/wpasad-1997-27.pdf
    File Function: Fisrt version / Primera version, 1997
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. 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.
    2. Kaneko, Mamoru, 1982. "The central assignment game and the assignment markets," Journal of Mathematical Economics, Elsevier, vol. 10(2-3), pages 205-232, September.
    3. Henry, Claude, 1970. "Indivisibilites dans une Economie d'Echanges. (With English summary.)," Econometrica, Econometric Society, vol. 38(3), pages 542-558, May.
    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. 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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Ma, Jinpeng, 1998. "Competitive Equilibrium with Indivisibilities," Journal of Economic Theory, Elsevier, vol. 82(2), pages 458-468, October.
    2. Elizabeth Baldwin & Omer Edhan & Ravi Jagadeesan & Paul Klemperer & Alexander Teytelboym, 2020. "The Equilibrium Existence Duality: Equilibrium with Indivisibilities & Income Effects," Papers 2006.16939, arXiv.org.
    3. van der Laan, Gerard & Talman, Dolf & Yang, Zaifu, 1997. "Existence of an equilibrium in a competitive economy with indivisibilities and money," Journal of Mathematical Economics, Elsevier, vol. 28(1), pages 101-109, August.
    4. van der Laan, G. & Talman, A.J.J. & Yang, Z.F., 1999. "Existence and Welfare Properties of Equilibrium in an Exchange Economy with Multiple Divisible, Indivisible Commodities and Linear Production Technologies," Other publications TiSEM e7e05539-3fab-4998-818d-0, Tilburg University, School of Economics and Management.
    5. Koshevoy, Gleb A. & Talman, Dolf, 2006. "Competitive equilibria in economies with multiple indivisible and multiple divisible commodities," Journal of Mathematical Economics, Elsevier, vol. 42(2), pages 216-226, April.
    6. Yang, Zaifu, 2003. "A competitive market model for indivisible commodities," Economics Letters, Elsevier, vol. 78(1), pages 41-47, January.
    7. 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.
    8. Koshevoy, G.A. & Talman, A.J.J., 2006. "Competitive Equilibria in Economies with Multiple Divisible and Indivisible Commodities and No Money," Other publications TiSEM 130306fe-6e3c-499c-b776-c, Tilburg University, School of Economics and Management.
    9. van der Laan, G. & Talman, A.J.J. & Yang, Z.F., 2002. "Existence and welfare properties of equilibrium in an exchange economy with multiple divisible and indivisible commodities and linear production," Other publications TiSEM 5a5610bf-4f85-4a25-963c-c, Tilburg University, School of Economics and Management.
    10. Sotomayor, Marilda, 2007. "Connecting the cooperative and competitive structures of the multiple-partners assignment game," Journal of Economic Theory, Elsevier, vol. 134(1), pages 155-174, May.
    11. Saeed Alaei & Kamal Jain & Azarakhsh Malekian, 2016. "Competitive Equilibria in Two-Sided Matching Markets with General Utility Functions," Operations Research, INFORMS, vol. 64(3), pages 638-645, June.
    12. Sai, Seiken, 2014. "The structure of competitive equilibria in an assignment market," Journal of Mathematical Economics, Elsevier, vol. 51(C), pages 42-49.
    13. Henry Schellhorn, 2004. "A Double-Sided Multiunit Combinatorial Auction for Substitutes: Theory and Algorithms," FAME Research Paper Series rp123, International Center for Financial Asset Management and Engineering.
    14. Yang, Zaifu, 2000. "Equilibrium in an exchange economy with multiple indivisible commodities and money," Journal of Mathematical Economics, Elsevier, vol. 33(3), pages 353-365, April.
    15. van der Laan, Gerard & Talman, Dolf & Yang, Zaifu, 2002. "Existence and Welfare Properties of Equilibrium in an Exchange Economy with Multiple Divisible and Indivisible Commodities and Linear Production Technologies," Journal of Economic Theory, Elsevier, vol. 103(2), pages 411-428, April.
    16. Jinpeng Ma, 1997. "English Auctions and Walrasian Equilibria with Multiple Objects: a dynamic approach," Departmental Working Papers 199702, Rutgers University, Department of Economics.
    17. Kovalenkov, A. & Holtz Wooders, M., 1997. "Epsilon Cores of Games and Economies With Limited Side Payments," UFAE and IAE Working Papers 392.97, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    18. Marilda Sotomayor, 2010. "Stability property of matchings is a natural solution concept in coalitional market games," International Journal of Game Theory, Springer;Game Theory Society, vol. 39(1), pages 237-248, March.
    19. Bikhchandani, Sushil & Ostroy, Joseph M., 2002. "The Package Assignment Model," Journal of Economic Theory, Elsevier, vol. 107(2), pages 377-406, December.
    20. Inoue, Tomoki, 2014. "Indivisible commodities and an equivalence theorem on the strong core," Journal of Mathematical Economics, Elsevier, vol. 54(C), pages 22-35.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:ivi:wpasad:1997-27. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Departamento de Edición (email available below). General contact details of provider: https://edirc.repec.org/data/ievages.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.