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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

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    File URL: http://www.accessecon.com/Pubs/EB/2019/Volume39/EB-19-V39-I4-P252.pdf
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    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. Raut, L. K., 1986. "Myopic topologies on general commodity spaces," Journal of Economic Theory, Elsevier, vol. 39(2), pages 358-367, August.
    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. Gilles, Christian, 1989. "Charges as equilibrium prices and asset bubbles," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 155-167, April.
    6. 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.
    7. 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).
    8. Bastianello, Lorenzo, 2017. "A topological approach to delay aversion," Journal of Mathematical Economics, Elsevier, vol. 73(C), pages 1-12.
    9. 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.
    Full references (including those not matched with items on IDEAS)

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    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

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