IDEAS home Printed from https://ideas.repec.org/p/udc/wpaper/wp197.html
   My bibliography  Save this paper

Welfare Theorema and Core Equivalence without Divisible Goods

Author

Listed:
  • Michael Florig
  • Jorge Rivera Cayupi

Abstract

We study economies where all commodities are indivisible at the individual level, but perfectly divisible at the aggregate level. Paper (fiat) money which does not influence agents preferences may be used to facilitate exchange. In a parallel paper (Florig and Rivera (2002), we introduced a competitive equilibrium notion for such a set up called rationing equilibrium. Here, we will establish welfare theorema and a core equivalence result for this equilibrium notion..

Suggested Citation

  • Michael Florig & Jorge Rivera Cayupi, 2002. "Welfare Theorema and Core Equivalence without Divisible Goods," Working Papers wp197, University of Chile, Department of Economics.
  • Handle: RePEc:udc:wpaper:wp197
    as

    Download full text from publisher

    File URL: http://www.econ.uchile.cl/uploads/publicacion/05105e53-1fd1-4888-aa5f-962d05d1e5f4.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. Broome, John, 1972. "Approximate equilibrium in economies with indivisible commodities," Journal of Economic Theory, Elsevier, vol. 5(2), pages 224-249, October.
    3. 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. 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.
    3. Michael Florig & Jorge Rivera, 2015. "Existence of a competitive equilibrium when all goods are indivisible," Working Papers wp403, University of Chile, Department of Economics.
    4. 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.
    5. 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.
    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. 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.
    9. Jaume Sempere, 2022. "On potential Pareto gains from free trade areas formation," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 24(6), pages 1502-1518, December.
    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. Alejandro Jofré & R. Terry Rockafellar & Roger J-B. Wets, 2007. "Variational Inequalities and Economic Equilibrium," Mathematics of Operations Research, INFORMS, vol. 32(1), pages 32-50, February.
    12. Marcus Berliant & John H. Y. Edwards, 2004. "Efficient Allocations in Club Economies," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 6(1), pages 43-63, February.
    13. M. Florig, 2004. "Equilibrium Correspondence of Linear Exchange Economies," Journal of Optimization Theory and Applications, Springer, vol. 120(1), pages 97-109, January.
    14. Hara, Chiaki, 2005. "Bargaining set and anonymous core without the monotonicity assumption," Journal of Mathematical Economics, Elsevier, vol. 41(4-5), pages 545-556, August.
    15. M. Ali Khan & Edward E. Schlee, 2016. "On Lionel McKenzie's 1957 intrusion into 20th‐century demand theory," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 49(2), pages 589-636, May.
    16. Nizar Allouch & Myrna Wooders, 2004. "Price Taking Equilibrium in Club Economies with Multiple Memberships and Unbounded Club Sizes," Working Papers 513, Queen Mary University of London, School of Economics and Finance.
    17. Dubey, Pradeep & Geanakoplos, John, 2003. "From Nash to Walras via Shapley-Shubik," Journal of Mathematical Economics, Elsevier, vol. 39(5-6), pages 391-400, July.
    18. Burak Unveren, 2013. "Social Classes and Equilibrium," Bogazici Journal, Review of Social, Economic and Administrative Studies, Bogazici University, Department of Economics, vol. 27(1), pages 69-83.
    19. 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.
    20. Peter J. Hammond, 2017. "Designing a strategyproof spot market mechanism with many traders: twenty-two steps to Walrasian equilibrium," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 63(1), pages 1-50, January.

    More about this item

    Keywords

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

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General
    • E40 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - 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:wp197. 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.