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Abstract

An F-cone is a pointed and generating convex cone of a real vector space that is the union of a countable family of finite dimensional polyedral convex cones such that each of which is an extremel subset of the subsequent one. In this paper, we study securities markets with countably many securities and arbitrary finite portfolio holdings. Moreover, we assume that each investor is constrained to have a non-negative end-of-period wealth. If, under the portfolio dominance order, the positive cone of the portfolio space is an F-cone, then Edgeworth allocations and non-trivial quasi-equilibria exist. This result extend the case where, as in Aliprantis et al.[JME 30 (1998a) 347-366], the positive cone is a Yudin cone.

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Bibliographic Info

Paper provided by HAL in its series Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) with number halshs-00086810.

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Date of creation: Sep 2004
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Publication status: Published, Journal of Mathematical Economics, 2004, 40, 6, 683-699
Handle: RePEc:hal:cesptp:halshs-00086810

Note: View the original document on HAL open archive server: http://halshs.archives-ouvertes.fr/halshs-00086810
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Related research

Keywords: Securities markets; Edgeworth equilibrium; Non-trivial quasi-equilibrium; inductive limit topology; F-cone; Riesz-Kantorovich functional;

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References

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1. Florenzano Monique, 1988. "Edgeworth equilibria, fuzzy core and equilibria of a production economy without ordered preferences," CEPREMAP Working Papers (Couverture Orange) 8822, CEPREMAP.
2. Monique Florenzano, 2008. "General equilibrium," Documents de travail du Centre d'Economie de la Sorbonne b08005, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
   
   • Monique Florenzano, 2007. "General equilibrium," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00250167, HAL.
3. Aliprantis, Charalambos D. & Monteiro, Paulo K. & Tourky, Rabee, 2004. "Non-marketed options, non-existence of equilibria, and non-linear prices," Journal of Economic Theory, Elsevier, vol. 114(2), pages 345-357, February.
4. Aliprantis, Charalambos D. & Brown, Donald J. & Burkinshaw, Owen, 1987. "Edgeworth equilibria in production economies," Journal of Economic Theory, Elsevier, vol. 43(2), pages 252-291, December.
5. Donald J. Brown & Charalambos Aliprantis & Owen Burkinshaw, 1985. "Edgeworth Equilibria," Cowles Foundation Discussion Papers 756R, Cowles Foundation for Research in Economics, Yale University.
   
   • Aliprantis, Charalambos D & Brown, Donald J & Burkinshaw, Owen, 1987. "Edgeworth Equilibria," Econometrica, Econometric Society, vol. 55(5), pages 1109-37, September.
6. Rabee Tourky, 1997. "A New Approach to the Lmit Theorem on the Core of an Economy in Vector Lattices," Working Papers 1997.03, School of Economics, La Trobe University.
   
   • 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.
7. Brown, Donald & Werner, Jan, 1993. "Arbitrage and Existence of Equilibrium in Infinite Asset Markets," Working Papers 825, California Institute of Technology, Division of the Humanities and Social Sciences.
   
   • Brown, Donald J & Werner, Jan, 1995. "Arbitrage and Existence of Equilibrium in Infinite Asset Markets," Review of Economic Studies, Wiley Blackwell, vol. 62(1), pages 101-14, January.
   • Brown,Donald & Werner,Jan, 1991. "Arbitrage and existence of equilibrium in infinite asset markets," Discussion Paper Serie A 344, University of Bonn, Germany.
   • Brown, D.J. & Werner, J., 1992. "Arbitrage and Existence of Equilibrium in Finite Asset Markets," Papers 43, Stanford - Institute for Thoretical Economics.
8. Aliprantis, C. D. & Brown, D. J. & Polyrakis, I. A. & Werner, J., 1998. "Portfolio dominance and optimality in infinite security markets," Journal of Mathematical Economics, Elsevier, vol. 30(3), pages 347-366, October.
   
   • Aliprantis, C. D. & D. J. Brown & I. A. Polyrakis & J. Werner, 1996. "Portfolio Dominance and Optimality in Infinite Security Markets," Discussion Paper Serie B 383, University of Bonn, Germany.
9. Aliprantis, Charalambos D. & Tourky, Rabee & Yannelis, Nicholas C., 2001. "A Theory of Value with Non-linear Prices: Equilibrium Analysis beyond Vector Lattices," Journal of Economic Theory, Elsevier, vol. 100(1), pages 22-72, September.

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Cited by:

1. Balbás, Alejandro & Downarowicz, Anna, 2007. "Infinitely many securities and the fundamental theorem of asset pricing," Open Access publications from Universidad Carlos III de Madrid info:hdl:10016/12972, Universidad Carlos III de Madrid.
2. Roko Aliprantis & Monique Florenzano & Daniella Puzzello & Rabee Tourky, 2006. "The wedge of arbitrage free prices : anything goes," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00112202, HAL.
   
   • Roko Aliprantis & Monique Florenzano & Daniella Puzzello & Rabee Tourky, 2006. "The wedge of arbitrage free prices : anything goes," Cahiers de la Maison des Sciences Economiques b06070, Université Panthéon-Sorbonne (Paris 1).
3. Bloise, Gaetano & Calciano, Filippo L., 2007. "A Characterization of Inefficiency in Stochastic Overlapping Generations Economies," MPRA Paper 8780, University Library of Munich, Germany.
   
   • Bloise, Gaetano & Calciano, Filippo L., 2008. "A characterization of inefficiency in stochastic overlapping generations economies," Journal of Economic Theory, Elsevier, vol. 143(1), pages 442-468, November.
   • BLOISE, Gaetano & CALCIANO, Filippo L., 2007. "A characterization of inefficiency in stochastic overlapping generations economies," CORE Discussion Papers 2007093, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
4. 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).
5. Aliprantis, Charalambos D. & Florenzano, Monique & Tourky, Rabee, 2006. "Production equilibria," Journal of Mathematical Economics, Elsevier, vol. 42(4-5), pages 406-421, August.
   
   • Charalambos Aliprantis & Monique Florenzano & Rabee Tourky, 2006. "Production equilibria," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00092809, HAL.

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