IDEAS home Printed from https://ideas.repec.org/a/ebl/ecbull/eb-19-00090.html
   My bibliography  Save this article

Hyperopic Topologies Once Again

Author

Listed:
  • Paulo k. Monteiro

    (FGV/EPGE, Escola Brasileira de Economia e Finanças)

  • Jaime Orrillo

    (Graduate School of Economics - Catholic University of Brasilia)

  • Rudy Rosas

    (Pontifical Catholic University of Peru)

Abstract

We construct a hyperopic topology on $l^{infty}$ whose dual coincides with the set of bounded, purely finitely additive measures. This topology is strictly coarser than the norm topology and its dual is strictly contained into the hyperopic dual obtained by Monteiro et al. (2018).

Suggested Citation

  • Paulo k. Monteiro & Jaime Orrillo & Rudy Rosas, 2019. "Hyperopic Topologies Once Again," Economics Bulletin, AccessEcon, vol. 39(4), pages 2706-2710.
    • Handle: RePEc:ebl:ecbull:eb-19-00090
    as

    Download full text from publisher

    File URL: http://www.accessecon.com/Pubs/EB/2019/Volume39/EB-19-V39-I4-P252.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Araujo, Aloisio & Novinski, Rodrigo & Páscoa, Mário R., 2011. "General equilibrium, wariness and efficient bubbles," Journal of Economic Theory, Elsevier, vol. 146(3), pages 785-811, May.
    2. Brown, Donald J & Lewis, Lucinda M, 1981. "Myopic Economic Agents," Econometrica, Econometric Society, vol. 49(2), pages 359-368, March.
    3. Bastianello, Lorenzo, 2017. "A topological approach to delay aversion," Journal of Mathematical Economics, Elsevier, vol. 73(C), pages 1-12.
    4. Gilles, Christian & LeRoy, Stephen F, 1992. "Bubbles and Charges," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 33(2), pages 323-339, May.
    5. Raut, L. K., 1986. "Myopic topologies on general commodity spaces," Journal of Economic Theory, Elsevier, vol. 39(2), pages 358-367, August.
    6. Gilles, Christian, 1989. "Charges as equilibrium prices and asset bubbles," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 155-167, April.
    7. Philip J. Reny, 1999. "On the Existence of Pure and Mixed Strategy Nash Equilibria in Discontinuous Games," Econometrica, Econometric Society, vol. 67(5), pages 1029-1056, September.
    8. Bewley, Truman F., 1972. "Existence of equilibria in economies with infinitely many commodities," Journal of Economic Theory, Elsevier, vol. 4(3), pages 514-540, June.
    9. BEWLEY, Truman F., 1972. "Existence of equilibria in economies with infinitely many commodities," LIDAM Reprints CORE 122, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    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. Chateauneuf, Alain & Ventura, Caroline, 2013. "G-continuity, impatience and myopia for Choquet multi-period utilities," Journal of Mathematical Economics, Elsevier, vol. 49(1), pages 97-105.
    3. Jean-Pierre Drugeon & Thai Ha Huy, 2022. "A not so myopic axiomatization of discounting," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 73(1), pages 349-376, February.
    4. Araujo, Aloisio & Gama, Juan Pablo & Novinski, Rodrigo & Pascoa, Mario R., 2019. "Endogenous discounting, wariness, and efficient capital taxation," Journal of Economic Theory, Elsevier, vol. 183(C), pages 520-545.
    5. Bastianello, Lorenzo, 2017. "A topological approach to delay aversion," Journal of Mathematical Economics, Elsevier, vol. 73(C), pages 1-12.
    6. Aloisio Araujo & Jean-Marc Bonnisseau & Alain Chateauneuf & Rodrigo Novinski, 2014. "Optimal Risk Sharing with Optimistic and Pessimistic Decision Makers," Working Papers 2014-579, Department of Research, Ipag Business School.
    7. Eveson, Simon P. & Thijssen, Jacco J.J., 2016. "Pareto optimality and existence of quasi-equilibrium in exchange economies with an indefinite future," Journal of Mathematical Economics, Elsevier, vol. 67(C), pages 138-152.
    8. Stephen F. LeRoy, 2012. "Infinite Portfolio Strategies," Contemporary Economics, University of Economics and Human Sciences in Warsaw., vol. 6(4), December.
    9. Wei He & Nicholas C. Yannelis, 2016. "Existence of Walrasian equilibria with discontinuous, non-ordered, interdependent and price-dependent preferences," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 61(3), pages 497-513, March.
    10. Jean-Pierre Drugeon & Thai Ha-Huy, 2018. "Towards a Decomposition for the Future: Closeness, Remoteness & Temporal Biases," PSE Working Papers halshs-01962035, HAL.
    11. Levine, David K. & Zame, William R., 1996. "Debt constraints and equilibrium in infinite horizon economies with incomplete markets," Journal of Mathematical Economics, Elsevier, vol. 26(1), pages 103-131.
    12. Burke, Jonathan L., 2000. "General Equilibrium When Economic Growth Exceeds Discounting," Journal of Economic Theory, Elsevier, vol. 94(2), pages 141-162, October.
    13. Aloisio Araujo & Jean-Marc Bonnisseau & Alain Chateauneuf & Rodrigo Novinski, 2017. "Optimal sharing with an infinite number of commodities in the presence of optimistic and pessimistic agents," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 63(1), pages 131-157, January.
    14. Back, Kerry, 1988. "Structure of consumption sets and existence of equilibria in infinite-dimensional spaces," Journal of Mathematical Economics, Elsevier, vol. 17(1), pages 89-99, February.
    15. Florenzano, Monique & Gourdel, Pascal, 1993. "Incomplete markets in infinite horizon : debt constraints versus node prices," CEPREMAP Working Papers (Couverture Orange) 9329, CEPREMAP.
    16. Araujo, Aloisio & Gama, Juan Pablo & Pascoa, Mario Rui, 2019. "Crashing of efficient stochastic bubbles," Journal of Mathematical Economics, Elsevier, vol. 84(C), pages 136-143.
    17. Magill, Michael & Quinzii, Martine, 1996. "Incomplete markets over an infinite horizon: Long-lived securities and speculative bubbles," Journal of Mathematical Economics, Elsevier, vol. 26(1), pages 133-170.
    18. Urmee Khan & Maxwell B Stinchcombe, 2016. "Planning for the Long Run: Programming with Patient, Pareto Responsive Preferences," Working Papers 201608, University of California at Riverside, Department of Economics.
    19. Jones, Larry E, 1984. "A Competitive Model of Commodity Differentiation," Econometrica, Econometric Society, vol. 52(2), pages 507-530, March.
    20. Herves-Beloso, Carlos & Moreno-Garcia, Emma & Nunez-Sanz, Carmelo & Rui Pascoa, Mario, 2000. "Blocking Efficacy of Small Coalitions in Myopic Economies," Journal of Economic Theory, Elsevier, vol. 93(1), pages 72-86, July.

    More about this item

    Keywords

    Hyperopic agents; locally convex topology; hyperopic topology;
    All these keywords.

    JEL classification:

    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • A1 - General Economics and Teaching - - General Economics

    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:ebl:ecbull:eb-19-00090. 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: John P. Conley (email available below). General contact details of provider: .

    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.