Market completeness: A return to order
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- by George Stoica PDF
- Proc. Amer. Math. Soc. 131 (2003), 285-290 Request permission
Abstract:
We investigate market completeness with respect to the topology generated by the order relation on a linear lattice of functions describing, in a two-times economy, the associated cash flow space. The study is leading us towards alternative definitions for market completeness, in terms of trading strategy operators and approximate convergent martingales spanning on such linear lattices.References
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Additional Information
- George Stoica
- Affiliation: Department of Mathematics, University of New Brunswick, P.O. Box 5050, Saint John, New Brunswick, Canada E2L 4L5
- Email: stoica@unbsj.ca
- Received by editor(s): February 19, 2001
- Received by editor(s) in revised form: August 18, 2001
- Published electronically: May 22, 2002
- Additional Notes: The author is indebted to the Probability Editor, whose remarks improved the present version of the note.
- Communicated by: Claudia M. Neuhauser
- © Copyright 2002 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 131 (2003), 285-290
- MSC (2000): Primary 91B24, 91B70; Secondary 60G42, 46A40
- DOI: https://doi.org/10.1090/S0002-9939-02-06523-1
- MathSciNet review: 1929048