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The wedge of arbitrage free prices : anything goes

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Author Info
Roko Aliprantis () (Department of Economics - Purdue University - Purdue University)
Monique Florenzano () (CES - Centre d'économie de la Sorbonne - CNRS : UMR8174 - Université Panthéon-Sorbonne - Paris I)
Daniella Puzzello () (Deparments of Economics and Mathematics - University of Kentucky - University of Kentucky)
Rabee Tourky () (Department of Economics - Purdue University - Purdue University, Department of Economics - University of Queensland - University of Queensland)

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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 -1 (C+ [0,1]). This problem originated from questions regarding arbitrage free prices in economics.

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Paper provided by HAL in its series Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) with number halshs-00112202_v1.

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Date of creation: Nov 2006
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Handle: RePEc:hal:cesptp:halshs-00112202_v1

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

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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 2009-11-24.

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