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The wedge of arbitrage free prices : anything goes Author info | Abstract | Publisher info | Download info | Related research | Statistics 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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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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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 2006Date of revision:
Handle: RePEc:mse:wpsorb:b06070Contact details of provider: Postal: 106 - 112 boulevard de l'H�pital, 75647 Paris cedex 13 Phone: 01 44 07 81 00 Fax: 01 44 07 81 09 Email: Web page: http://mse.univ-paris1.fr/ More information through EDIRC
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Keywords: Closed cones in finite dimensional spaces ; pull-back cones ; securities markets ; arbitrage free prices. ; Other versions of this item:
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 Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile , click on "citations" and make appropriate adjustments.: 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)
Other versions: 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!]
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) 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!]
Other versions: 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)
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.
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