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On the continuity of equilibrium and core correspondences in economies with differential information

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  • Ezra Einy

    ()

  • Ori Haimanko

    ()

  • Diego Moreno

    ()

  • Benyamin Shitovitz

    ()

Abstract

We study upper semi-continuity of the private and coarse core and the Walrasian expectations equilibrium correspondences for economies with differential information, with Boylan (1971) topology on agents’ information fields. Copyright Springer-Verlag Berlin/Heidelberg 2005

Suggested Citation

  • Ezra Einy & Ori Haimanko & Diego Moreno & Benyamin Shitovitz, 2005. "On the continuity of equilibrium and core correspondences in economies with differential information," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 26(4), pages 793-812, November.
  • Handle: RePEc:spr:joecth:v:26:y:2005:i:4:p:793-812 DOI: 10.1007/s00199-004-0577-2
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    References listed on IDEAS

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    1. Van Zandt, Timothy, 2002. "Information, measurability, and continuous behavior," Journal of Mathematical Economics, Elsevier, vol. 38(3), pages 293-309, November.
    2. Forges, Francoise & Minelli, Enrico & Vohra, Rajiv, 2002. "Incentives and the core of an exchange economy: a survey," Journal of Mathematical Economics, Elsevier, vol. 38(1-2), pages 1-41, September.
    3. Kannai, Yakar, 1970. "Continuity Properties of the Core of a Market," Econometrica, Econometric Society, vol. 38(6), pages 791-815, November.
    4. Hildenbrand, W & Mertens, J F, 1972. "Upper Hemi-Continuity of the Equilibrium-Set Correspondence for Pure Exchange Economies," Econometrica, Econometric Society, vol. 40(1), pages 99-108, January.
    5. Yannelis, Nicholas C, 1991. "The Core of an Economy with Differential Information," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 1(2), pages 183-197, April.
    6. Ezra Einy & Diego Moreno & Benyamin Shitovitz, 2001. "Competitive and core allocations in large economies with differential information," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 18(2), pages 321-332.
    7. Wilson, Robert B, 1978. "Information, Efficiency, and the Core of an Economy," Econometrica, Econometric Society, vol. 46(4), pages 807-816, July.
    8. Stinchcombe, Maxwell B., 1990. "Bayesian information topologies," Journal of Mathematical Economics, Elsevier, vol. 19(3), pages 233-253.
    9. Cotter, Kevin D., 1987. "Convergence of information, random variables and noise," Journal of Mathematical Economics, Elsevier, vol. 16(1), pages 39-51, February.
    10. Allen, Beth, 1983. "Neighboring information and distributions of agents' characteristics under uncertainty," Journal of Mathematical Economics, Elsevier, vol. 12(1), pages 63-101, September.
    11. Hildenbrand, Kurt, 1972. "Continuity of the equilibrium-set correspondence," Journal of Economic Theory, Elsevier, vol. 5(1), pages 152-162, August.
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    Citations

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    Cited by:

    1. Carlos Hervés-Beloso & V. Martins-da-Rocha & Paulo Monteiro, 2009. "Equilibrium theory with asymmetric information and infinitely many states," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), pages 295-320.
    2. João Correia-da-Silva & Carlos Hervés-Beloso, 2004. "Private Information: Similarity as Compatibility," FEP Working Papers 155, Universidade do Porto, Faculdade de Economia do Porto.
    3. Ezra Einy & Ori Haimanko & Diego Moreno & Benyamin Shitovitz, 2008. "Uniform Continuity of the Value of Zero-Sum Games with Differential Information," Mathematics of Operations Research, INFORMS, vol. 33(3), pages 552-560, August.
    4. Carlos Hervés-Beloso & V. Martins-da-Rocha & Paulo Monteiro, 2009. "Equilibrium theory with asymmetric information and infinitely many states," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), pages 295-320.
    5. Erik Balder & Nicholas Yannelis, 2006. "Continuity properties of the private core," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 29(2), pages 453-464, October.
    6. Evren, Özgür & Hüsseinov, Farhad, 2008. "Theorems on the core of an economy with infinitely many commodities and consumers," Journal of Mathematical Economics, Elsevier, vol. 44(11), pages 1180-1196, December.
    7. Khan, M. Ali & Sun, Yeneng & Tourky, Rabee & Zhang, Zhixiang, 2008. "Similarity of differential information with subjective prior beliefs," Journal of Mathematical Economics, Elsevier, vol. 44(9-10), pages 1024-1039, September.
    8. João Correia-da-Silva & Carlos Hervés-Beloso, 2007. "Private Information: Similarity as Compatibility," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), pages 395-407.

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