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A New Approach to the Lmit Theorem on the Core of an Economy in Vector Lattices

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Author Info
Tourky, R.

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Abstract

We consider economies with general consumption sets in a vector lattice commodity space. We show, by adapting the techniques of Mas-Colell and Richard (8) and Richard (10), the Edgeworth equilibria can be supported as pseudo-equilibria by continuous prices. A corollary of this result is that continuous equilibrium prices support those allocations supported by discontinuous equilibrium prices. Hence, we improve and provide an alternative proof to Mas-Colell and Richard's hypothesis on the relationship between continuous and discontinuous equilibrium prices in models with a vector lattice commodity space and a vector lettice price space.

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Publisher Info
Paper provided by La Trobe - Department of Economics in its series Papers with number 97.03.

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Length: 9 pages
Date of creation: 1996
Date of revision:
Handle: RePEc:fth:latrob:97.03

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Postal: School of Economics and Commerce, La Trobe University, Bundoora, Victoria, Australia 3089.
Phone: (03) 9479 3012
Fax: (03) 9479 5971
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Web page: http://www.latrobe.edu.au/business/
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Keywords: ECONOMETRICS;

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Find related papers by JEL classification:
C62 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Existence and Stability Conditions of Equilibrium

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  1. V. Martins-da-Rocha & Frank Riedel, 2006. "Stochastic equilibria for economies under uncertainty with intertemporal substitution," Annals of Finance, Springer, vol. 2(1), pages 101-122, January. [Downloadable!] (restricted)
  2. Monique Florenzano & Valeri Marakulin, 2000. "Production Equilibria in Vector Lattices," Econometric Society World Congress 2000 Contributed Papers 1396, Econometric Society. [Downloadable!]
  3. Carlos Hervés-Beloso & V. Martins-da-Rocha & Paulo Monteiro, 2009. "Equilibrium theory with asymmetric information and infinitely many states," Economic Theory, Springer, vol. 38(2), pages 295-320, February. [Downloadable!] (restricted)
    Other versions:
  4. V. Filipe Martins-da-Rocha & Frank Riedel, 2008. "On equilibrium prices in continuous time," Working Papers 397, Bielefeld University, Institute of Mathematical Economics. [Downloadable!]
    Other versions:
  5. Monique Florenzano & Elena Laureana Del Mercato, 2004. "Edgeworth and Lindahl-Foley equilibria of a general equilibrium model with private provision of pure public goods," Cahiers de la Maison des Sciences Economiques b04082, Université Panthéon-Sorbonne (Paris 1). [Downloadable!]
    Other versions:
  6. Nizar Allouch, 2000. "Edgeworth and Walras Equilibria of an Arbitrage-Free Exchange Economy," Econometric Society World Congress 2000 Contributed Papers 1901, Econometric Society. [Downloadable!]
    Other versions:
  7. Charalambos Aliprantis & Monique Florenzano & Victor-Filipe Martins-Da-Rocha & Rabee Tourky, 2004. "Equilibrium analysis in financial markets with countably many securities," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00086810_v1, HAL. [Downloadable!]
    Other versions:
  8. Charalambos D. Aliprantis & Monique Florenzano & Rabee Tourky, 2004. "Equilibria in production economies," Cahiers de la Maison des Sciences Economiques b04116, Université Panthéon-Sorbonne (Paris 1). [Downloadable!]
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