IDEAS home Printed from https://ideas.repec.org/p/udc/wpaper/wp213.html
   My bibliography  Save this paper

Welfare properties and core for a competitive equilibrium without divisible

Author

Listed:
  • Jorge Rivera C.
  • Michael Florig

Abstract

We study welfare and core equivalence for a competitive equilibrium defined on an economy where all commodities are indivisible at the individual level, but perfectly divisible at the aggregate level. In our model is assumed that thereexists a continuum parameter, which can be interpreted as fiat money and does not participate in the preferences of individuals and could be used to facilitate exchange. Given the existence of equilibria with a strictly positive price of fiat money, we establish a core equivalence result, and First and Second Welfare Theorems.

Suggested Citation

  • Jorge Rivera C. & Michael Florig, 2005. "Welfare properties and core for a competitive equilibrium without divisible," Working Papers wp213, University of Chile, Department of Economics.
  • Handle: RePEc:udc:wpaper:wp213
    as

    Download full text from publisher

    File URL: http://www.econ.uchile.cl/uploads/publicacion/9881ce7a-9ca2-4165-8d2c-5a91ebaece9e.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Florig, Michael, 2001. "Hierarchic competitive equilibria," Journal of Mathematical Economics, Elsevier, vol. 35(4), pages 515-546, July.
    2. Shapley, Lloyd & Scarf, Herbert, 1974. "On cores and indivisibility," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 23-37, March.
    3. Mas-Colell, Andreu, 1977. "Indivisible commodities and general equilibrium theory," Journal of Economic Theory, Elsevier, vol. 16(2), pages 443-456, December.
    4. Alexander Konovalov, 2005. "The core of an economy with satiation," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 25(3), pages 711-719, April.
    5. Broome, John, 1972. "Approximate equilibrium in economies with indivisible commodities," Journal of Economic Theory, Elsevier, vol. 5(2), pages 224-249, October.
    6. Martine Quinzii, 1982. "Core and Competitive Equilibria with Indivisibilities," Cowles Foundation Discussion Papers 644, Cowles Foundation for Research in Economics, Yale University.
    7. Ali Khan, M. & Yamazaki, Akira, 1981. "On the cores of economies with indivisible commodities and a continuum of traders," Journal of Economic Theory, Elsevier, vol. 24(2), pages 218-225, April.
    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. Jorge Rivera & Michael Florig, 2004. "Indivisible Goods and Fiat Money," Econometric Society 2004 Latin American Meetings 167, Econometric Society.
    2. Florig, Michael & Rivera, Jorge, 2017. "Existence of a competitive equilibrium when all goods are indivisible," Journal of Mathematical Economics, Elsevier, vol. 72(C), pages 145-153.
    3. Florig, Michael & Rivera, Jorge, 2010. "Core equivalence and welfare properties without divisible goods," Journal of Mathematical Economics, Elsevier, vol. 46(4), pages 467-474, July.
    4. Michael Florig & Jorge Rivera, 2015. "Existence of a competitive equilibrium when all goods are indivisible," Working Papers wp403, University of Chile, Department of Economics.
    5. Inoue, Tomoki, 2005. "Do pure indivisibilities prevent core equivalence? Core equivalence theorem in an atomless economy with purely indivisible commodities only," Journal of Mathematical Economics, Elsevier, vol. 41(4-5), pages 571-601, August.
    6. Martin Shubik & Myrna Holtz Wooders, 1982. "Approximate Cores of a General Class of Economies: Part II. Set-Up Costs and Firm Formation in Coalition Production Economies," Cowles Foundation Discussion Papers 619, Cowles Foundation for Research in Economics, Yale University.
    7. M. Ali Khan & Metin Uyanık, 2021. "Topological connectedness and behavioral assumptions on preferences: a two-way relationship," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 71(2), pages 411-460, March.
    8. Shell, Karl & Wright, Randall, 1993. "Indivisibilities, Lotteries, and Sunspot Equilibria," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 3(1), pages 1-17, January.
    9. Michael Florig & Jorge Rivera Cayupi, 2002. "Welfare Theorema and Core Equivalence without Divisible Goods," Working Papers wp197, University of Chile, Department of Economics.
    10. Michael Florig & Jorge Rivera Cayupi, 2015. "Walrasian equilibrium as limit of a competitive equilibrium without divisible goods," Working Papers wp404, University of Chile, Department of Economics.
    11. Ma, Jinpeng, 1998. "Competitive Equilibrium with Indivisibilities," Journal of Economic Theory, Elsevier, vol. 82(2), pages 458-468, October.
    12. Peter J. Hammond & Jaume Sempere, 2006. "Gains from Trade versus Gains from Migration: What Makes Them So Different?," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 8(1), pages 145-170, January.
    13. Francoise Forges, 2006. "The Ex Ante Incentive Compatible Core in Exchange Economies with and without Indivisibilities," CESifo Working Paper Series 1686, CESifo.
    14. 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.
    15. Nguyen, Thành & Peivandi, Ahmad & Vohra, Rakesh, 2016. "Assignment problems with complementarities," Journal of Economic Theory, Elsevier, vol. 165(C), pages 209-241.
    16. Lars-Gunnar Svensson, 2009. "Coalitional strategy-proofness and fairness," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 40(2), pages 227-245, August.
    17. Florig, Michael & Rivera, Jorge, 2019. "Walrasian equilibrium as limit of competitive equilibria without divisible goods," Journal of Mathematical Economics, Elsevier, vol. 84(C), pages 1-8.
    18. Jorge Rivera C. & Michael Florig, 2005. "Walrasian equilibrium as limit of competitive equilibrium without divisible," Working Papers wp214, University of Chile, Department of Economics.
    19. Inoue, Tomoki, 2011. "Strong core equivalence theorem in an atomless economy with indivisible commodities," Center for Mathematical Economics Working Papers 418, Center for Mathematical Economics, Bielefeld University.
    20. Federico Echenique & Sumit Goel & SangMok Lee, 2022. "Stable allocations in discrete exchange economies," Papers 2202.04706, arXiv.org, revised Feb 2024.

    More about this item

    Keywords

    indivisible goods; competitive equilibrium; Pareto optimum; core.;
    All these keywords.

    JEL classification:

    • D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General
    • D60 - Microeconomics - - Welfare Economics - - - General

    Statistics

    Access and download statistics

    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:udc:wpaper:wp213. 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: Mohit Karnani (email available below). General contact details of provider: https://edirc.repec.org/data/deuclcl.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.