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General equilibrium analysis in ordered topological vector spaces

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Author Info
Charalambos Aliprantis () (Department of Economics - Purdue University)
Monique Florenzano () (CERMSEM - CEntre de Recherche en Mathématiques, Statistique et Économie Mathématique - CNRS : UMR8095 - Université Panthéon-Sorbonne - Paris I)
Rabee Tourky () (Department of Economics - Purdue University)

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Abstract

The second welfare theorem and the core-equivalence theorem have been proved to be fundamental tools for obtaining equilibrium existence theorems, especially in an infinite dimensional setting. For well-behaved exchange economies that we call proper economies, this paper gives (minimal) conditions for supporting with prices Pareto optimal allocations and decentralizing Edgeworth equilibrium allocations as non-trivial equilibria. As we assume neither transitivity nor monotonicity on the preferences of consumers, most of the existing equilibrium existence results are a consequence of our results. A natural application is in Finance, where our conditions lead to new equilibrium existence results, and also explain why some financial economies fail to have equilibrium.

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Paper provided by HAL in its series Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) with number halshs-00086791_v1.

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Date of creation: Jun 2004
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Publication status: Published, Journal of Mathematical Economics, 2004, 40, 3-4, 247-269
Handle: RePEc:hal:cesptp:halshs-00086791_v1

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Related research
Keywords: Equilibrium; Valuation equilibrium; Pareto-optimum; Edgeworth equilibrium; Properness; ordered topological vector spaces; Riesz-Kantorovich formula; sup-convolution;

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  1. Aliprantis, Charalambos D & Brown, Donald J & Burkinshaw, Owen, 1987. "Edgeworth Equilibria," Econometrica, Econometric Society, vol. 55(5), pages 1109-37, September. [Downloadable!] (restricted)
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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. Hervés-Beloso, Carlos & Martins-da-Rocha, V. F. & Monteiro, Paulo Klinger, 2008. "Equilibrium theory with asymmetric information and infinitely many states," Economics Working Papers (Ensaios Economicos da EPGE) 673, Graduate School of Economics, Getulio Vargas Foundation (Brazil). [Downloadable!]
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  3. V. Filipe Martins-da-Rocha & Frank Riedel, 2008. "On Equilibrium Prices in Continuous Time," Quantitative Finance Papers 0802.3585, arXiv.org. [Downloadable!]
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  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). [Downloadable!]
  5. 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). [Downloadable!]
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