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A Discrete Approach to Continuum Economies

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  • Garcia-Cutrin, Javier
  • Herves-Beloso, Carlos

Abstract

We consider a perfectly competitive economy in which only a finite number of different agents' characteristics can be distinguished. We associate this economy with an n-agents' economy with an ordered Banach commodity space, and we prove that the continuum and the discrete approach to the equilibrium problem can be considered equivalent.

Suggested Citation

  • Garcia-Cutrin, Javier & Herves-Beloso, Carlos, 1993. "A Discrete Approach to Continuum Economies," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 3(3), pages 577-583, July.
    • Handle: RePEc:spr:joecth:v:3:y:1993:i:3:p:577-83
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    References listed on IDEAS

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    1. Aliprantis, Charalambos D & Brown, Donald J & Burkinshaw, Owen, 1987. "Edgeworth Equilibria," Econometrica, Econometric Society, vol. 55(5), pages 1109-1137, September.
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    6. Bewley, Truman F, 1973. "The Equality of the Core and the Set of Equilibria in Economies with Infinitely Many Commodities and a Continuum of Agents," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 14(2), pages 383-394, June.
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    Cited by:

    1. Chiara Donnini & Marialaura Pesce, 2023. "Fairness and formation rules of coalitions," International Journal of Economic Theory, The International Society for Economic Theory, vol. 19(4), pages 933-960, December.
    2. Hervés-Beloso, Carlos & Moreno-García, Emma, 2009. "Large economies and two-player games," Journal of Mathematical Economics, Elsevier, vol. 45(9-10), pages 603-608, September.
    3. Hervés-Beloso, Carlos & Moreno-Garci­a, Emma, 2008. "Competitive equilibria and the grand coalition," Journal of Mathematical Economics, Elsevier, vol. 44(7-8), pages 697-706, July.
    4. Allouch, Nizar & Florenzano, Monique, 2013. "Edgeworth rejective core and dividends equilibria of satiated exchange economies," Journal of Mathematical Economics, Elsevier, vol. 49(1), pages 1-6.
    5. He, Wei & Yannelis, Nicholas C., 2015. "Equilibrium theory under ambiguity," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 86-95.
    6. Herves-Beloso, Carlos & Moreno-Garcia, Emma & Yannelis, Nicholas C., 2005. "An equivalence theorem for a differential information economy," Journal of Mathematical Economics, Elsevier, vol. 41(7), pages 844-856, November.
    7. Hervés Beloso, Carlos & Moreno García, Emma, 1996. "Coaliciones y competencia perfecta," DE - Documentos de Trabajo. Economía. DE 3362, Universidad Carlos III de Madrid. Departamento de Economía.
    8. Chiara Donnini & Marialaura Pesce, 2020. "Strict fairness of equilibria in asymmetric information economies and mixed markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 69(1), pages 107-124, February.
    9. Bhowmik, Anuj & Graziano, Maria Gabriella, 2015. "On Vind’s theorem for an economy with atoms and infinitely many commodities," Journal of Mathematical Economics, Elsevier, vol. 56(C), pages 26-36.
    10. Anuj Bhowmik & Jiling Cao, 2013. "On the core and Walrasian expectations equilibrium in infinite dimensional commodity spaces," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 53(3), pages 537-560, August.
    11. Hervés-Estévez, Javier & Moreno-García, Emma, 2015. "A bargaining-Walras approach for finite economies," MPRA Paper 69802, University Library of Munich, Germany.
    12. Hervés-Estévez, Javier & Moreno-García, Emma, 2014. "On bargaining sets for finite economies," MPRA Paper 62303, University Library of Munich, Germany, revised 18 Jul 2014.
    13. Achille Basile & Maria Gabriella Graziano & Ciro Tarantino, 2018. "Coalitional fairness with participation rates," Journal of Economics, Springer, vol. 123(2), pages 97-139, March.
    14. Javier Hervés-Estévez & Emma Moreno-García, 2018. "A limit result on bargaining sets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 66(2), pages 327-341, August.
    15. Liu, Jiuqiang, 2017. "Equivalence of the Aubin bargaining set and the set of competitive equilibria in a finite coalition production economy," Journal of Mathematical Economics, Elsevier, vol. 68(C), pages 55-61.
    16. Marialaura Pesce, 2010. "On mixed markets with asymmetric information," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 45(1), pages 23-53, October.

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