IDEAS home Printed from https://ideas.repec.org/p/cwl/cwldpp/838.html
   My bibliography  Save this paper

Valuation and Optimality in Exchange Economies with a Countable Number of Agents

Author

Listed:

Abstract

We present versions of the two fundamental welfare theorems of economics for exchange economies with a countable number of agents and an infinite dimensional commodity space. These results are then specialized to the overlapping generations model.

Suggested Citation

  • Donald J. Brown & Charalambos Aliprantis & Owen Burkinshaw, 1987. "Valuation and Optimality in Exchange Economies with a Countable Number of Agents," Cowles Foundation Discussion Papers 838, Cowles Foundation for Research in Economics, Yale University.
    • Handle: RePEc:cwl:cwldpp:838
    as

    Download full text from publisher

    File URL: https://cowles.yale.edu/sites/default/files/files/pub/d08/d0838.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Balasko, Yves & Shell, Karl, 1981. "The overlapping-generations model. II. The case of pure exchange with money," Journal of Economic Theory, Elsevier, vol. 24(1), pages 112-142, February.
    2. Paul A. Samuelson, 1958. "An Exact Consumption-Loan Model of Interest with or without the Social Contrivance of Money," Journal of Political Economy, University of Chicago Press, vol. 66(6), pages 467-467.
    3. Aliprantis, Charalambos D. & Brown, Donald J., 1983. "Equilibria in markets with a Riesz space of commodities," Journal of Mathematical Economics, Elsevier, vol. 11(2), pages 189-207, April.
    4. Wilson, Charles A., 1981. "Equilibrium in dynamic models with an infinity of agents," Journal of Economic Theory, Elsevier, vol. 24(1), pages 95-111, February.
    5. McKenzie, Lionel W, 1981. "The Classical Theorem on Existence of Competitive Equilibrium," Econometrica, Econometric Society, vol. 49(4), pages 819-841, June.
    6. Donald J. Brown & Charalambos Aliprantis & Owen Burkinshaw, 1987. "Equilibria in Exchange Economies with a Countable Number of Agents," Cowles Foundation Discussion Papers 834R, Cowles Foundation for Research in Economics, Yale University.
    7. Yannelis, Nicholas C. & Zame, William R., 1986. "Equilibria in Banach lattices without ordered preferences," Journal of Mathematical Economics, Elsevier, vol. 15(2), pages 85-110, 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. Charalambos Aliprantis & Kim Border & Owen Burkinshaw, 1996. "Market economies with many commodities," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 19(1), pages 113-185, March.
    2. Mark Pingle & Leigh Tesfatsion, 1993. "``Active Intermediation in a Monetary Overlapping Generations Economy''," Macroeconomics 9312001, University Library of Munich, Germany, revised 04 Dec 1993.
    3. Céline Rochon & Herakles Polemarchakis, 2006. "Debt, liquidity and dynamics," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 27(1), pages 179-211, January.
    4. Jean-Marc Bonnisseau & Lalaina Rakotonindrainy, 2017. "Existence of equilibrium in OLG economies with increasing returns," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 63(1), pages 111-129, January.
    5. Rao Aiyagari, S., 1988. "Nonmonetary steady states in stationary overlapping generations models with long lived agents and discounting: Multiplicity, optimality, and consumption smoothing," Journal of Economic Theory, Elsevier, vol. 45(1), pages 102-127, June.
    6. Mr. Roger Farmer & Pawel Zabczyk, 2019. "A Requiem for the Fiscal Theory of the Price Level," IMF Working Papers 2019/219, International Monetary Fund.
    7. Kevin Reffett & Olivier Morand, 2008. "Isotone recursive methods for Stationary Markov Equilibra in OLG models with stochastic nonclassical production," 2008 Meeting Papers 470, Society for Economic Dynamics.
    8. Tourky, Rabee, 1999. "Production equilibria in locally proper economies with unbounded and unordered consumers," Journal of Mathematical Economics, Elsevier, vol. 32(3), pages 303-315, November.
    9. Charalambos Aliprantis & Rabee Tourky, 2009. "Equilibria in incomplete assets economies with infinite dimensional spot markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 38(2), pages 221-262, February.
    10. Florenzano Monique, 1991. "Quasiequilibria in abstract economies application to the overlapping generations models," CEPREMAP Working Papers (Couverture Orange) 9117, CEPREMAP.
    11. Hashimzade, Nigar & Majumdar, Mukul, 2002. "Survival under Uncertainty in an Exchange Economy," Working Papers 02-12, Cornell University, Center for Analytic Economics.
    12. 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.
    13. Farmer, Roger E.A. & Zabczyk, Pawel, 2018. "The household fallacy," Economics Letters, Elsevier, vol. 169(C), pages 83-86.
    14. Jorge Rivera & Michael Florig, 2004. "Indivisible Goods and Fiat Money," Econometric Society 2004 Latin American Meetings 167, Econometric Society.
    15. Kokonas, Nikos & Polemarchakis, Herakles, 2015. "Suboptimality with land," CRETA Online Discussion Paper Series 13, Centre for Research in Economic Theory and its Applications CRETA.
    16. Roger E.A. Farmer & Pawel Zabczyk, 2019. "Monetary and Fiscal Policy When People Have Finite Lives," NBER Working Papers 25445, National Bureau of Economic Research, Inc.
    17. Burke, Jonathan L., 1996. "Robust asset prices with bubbles," Economics Letters, Elsevier, vol. 50(3), pages 349-354, March.
    18. Aliprantis, Charalambos D. & Tourky, Rabee & Yannelis, Nicholas C., 2001. "A Theory of Value with Non-linear Prices: Equilibrium Analysis beyond Vector Lattices," Journal of Economic Theory, Elsevier, vol. 100(1), pages 22-72, September.
    19. Aiyagari, S. Rao, 1987. "Optimality and monetary equilibria in stationary overlapping generations models with long-lived agents: Growth versus discounting," Journal of Economic Theory, Elsevier, vol. 43(2), pages 292-313, December.
    20. Tomohiro Hirano & Alexis Akira Toda, 2023. "Bubble Necessity Theorem," Papers 2305.08268, arXiv.org, revised Apr 2024.

    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:cwl:cwldpp:838. 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: Brittany Ladd (email available below). General contact details of provider: https://edirc.repec.org/data/cowleus.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.