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The wedge of arbitrage free prices : anything goes

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Author Info
Roko Aliprantis () (Purdue University)
Monique Florenzano () (Centre d'Economie de la Sorbonne)
Daniella Puzzello () (University of Kentucky)
Rabee Tourky () (Purdue University & University of Quensland)

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Abstract

We show that if K is a closed cone in a finite dimensional vector space X, then there exists a one-to-one linear operator T : X -> C[0,1] such that K is the pull-back cone of the positive cone of C[0,1], i.e., K = T (C+ [0,1]). This problem originated from questions regarding arbitrage free prices in economics.

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Publisher Info
Paper provided by Université Panthéon-Sorbonne (Paris 1) in its series Cahiers de la Maison des Sciences Economiques with number b06070.

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Length: 10 pages
Date of creation: Nov 2006
Date of revision:
Handle: RePEc:mse:wpsorb:b06070

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Related research
Keywords: Closed cones in finite dimensional spaces; pull-back cones; securities markets; arbitrage free prices.;

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Find related papers by JEL classification:
C65 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Miscellaneous Mathematical Tools
D53 - Microeconomics - - General Equilibrium and Disequilibrium - - - Financial Markets
G12 - Financial Economics - - General Financial Markets - - - Asset Pricing

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References listed on IDEAS
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  1. 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. [Downloadable!] (restricted)
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  2. 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!]
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  3. Charalambos Aliprantis & Monique Florenzano & Rabee Tourky, 2004. "General equilibrium analysis in ordered topological vector spaces," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00086791_v1, HAL. [Downloadable!]
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  4. 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. [Downloadable!] (restricted)
  5. 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)
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This page was last updated on 2009-10-20.


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