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

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

Author Info

Tourky, R.

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Rabee Tourky

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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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
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Handle: RePEc:fth:latrob:97.03

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Keywords: ECONOMETRICS

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Article
- Tourky, Rabee, 1998. "A New Approach to the Limit Theorem on the Core of an Economy in Vector Lattices," Journal of Economic Theory, Elsevier, vol. 78(2), pages 321-328, February. [Downloadable!] (restricted)

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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Charalambos Aliprantis & Monique Florenzano & Victor-Filipe Martins-Da-Rocha & Rabee Tourky, 2004. "Equilibrium analysis in financial markets with countably many securities," Post-Print halshs-00086810_v1, HAL. [Downloadable!]
Other versions:
- Aliprantis, C. D. & Florenzano, M. & Martins-da-Rocha, V. F. & Tourky, R., 2004. "Equilibrium analysis in financial markets with countably many securities," Journal of Mathematical Economics, Elsevier, vol. 40(6), pages 683-699, September. [Downloadable!] (restricted)
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:
- Nizar Allouch & Monique Florenzano, 2004. "Edgeworth and Walras equilibria of an arbitrage-free exchange economy," Post-Print halshs-00086096_v1, HAL. [Downloadable!]
- Allouch, N. & Florenzano, M., 2000. "Edgeworth and Walras Equilibria of an Arbitrage-Free Exchange Economy," Papers 2000.119, Paris I - Economie Mathematique et Applications.
- Nizar Allouch & Monique Florenzano, 2004. "Edgeworth and Walras equilibria of an arbitrage-free exchange economy," Economic Theory, Springer, vol. 23(2), pages 353-370, January. [Downloadable!] (restricted)
Monique Florenzano & Valeri Marakulin, 2000. "Production Equilibria in Vector Lattices," Econometric Society World Congress 2000 Contributed Papers 1396, Econometric Society. [Downloadable!]
Charalambos Aliprantis & Monique Florenzano & Rabee Tourky, 2006. "Production equilibria," Post-Print halshs-00092809_v1, HAL. [Downloadable!]
Other versions:
- Aliprantis, Charalambos D. & Florenzano, Monique & Tourky, Rabee, 2006. "Production equilibria," Journal of Mathematical Economics, Elsevier, vol. 42(4-5), pages 406-421, August. [Downloadable!] (restricted)
Charalambos Aliprantis & Monique Florenzano & Rabee Tourky, 2005. "Linear and non-linear price decentralization," Post-Print halshs-00086101_v1, HAL. [Downloadable!]
Other versions:
- Charalambos D. Apliprantis & Monique Florenzano & Rabee Tourky, 2003. "Linear And Non-Linear Price Decentralization," Department of Economics - Working Papers Series 867, The University of Melbourne. [Downloadable!]
- Aliprantis, Charalambos D. & Florenzano, Monique & Tourky, Rabee, 2005. "Linear and non-linear price decentralization," Journal of Economic Theory, Elsevier, vol. 121(1), pages 51-74, March. [Downloadable!] (restricted)
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:
- Monique Florenzano & Elena Del Mercato, 2006. "Edgeworth and Lindahl-Foley equilibria of a general equilibrium model with private provision of pure public goods," Post-Print halshs-00085726_v1, HAL. [Downloadable!]
- MONIQUE FLORENZANO & ELENA L. del MERCATO, 2006. "Edgeworth and Lindahl-Foley equilibria of a General Equilibrium Model with Private Provision of Pure Public Goods," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 8(5), pages 713-740, December. [Downloadable!] (restricted)
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!]
Charalambos Aliprantis & Monique Florenzano & Rabee Tourky, 2004. "General equilibrium analysis in ordered topological vector spaces," Post-Print halshs-00086791_v1, HAL. [Downloadable!]
Other versions:
- Aliprantis, Charalambos D. & Florenzano, Monique & Tourky, Rabee, 2004. "General equilibrium analysis in ordered topological vector spaces," Journal of Mathematical Economics, Elsevier, vol. 40(3-4), pages 247-269, June. [Downloadable!] (restricted)

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