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Stochastic Programming Duality: L∞ Multipliers for Unbounded Constraints with an Application to Mathematical Finance  (Make Corrections)  
Lisa A. Korf



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Abstract: A new duality theory is developed for a class of stochastic programs in which the probability distribution is not necessarily discrete. This provides a new framework for problems which are not necessarily bounded, are not required to have relatively complete recourse, and do not satisfy the typical Slater condition of strict feasibility. These problems instead satisfy a di#erent constraint qualification called `direction-free feasibility' to deal with possibly unbounded constraint sets, and... (Update)

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BibTeX entry:   (Update)

@misc{ korf-stochastic,
  author = "Lisa A. Korf",
  title = "Stochastic Programming Duality: L∞ Multipliers for Unbounded Constraints
    with an Application to Mathematical Finance",
  url = "citeseer.ist.psu.edu/596197.html" }
Citations (may not include all citations):
110   Variational Analysis (context) - Rockafellar, J-B - 1998
61   A general version of the fundamental theorem of asset pricin.. (context) - Delbaen, Schachermayer - 1994
33   Conjugate Duality and Optimization (context) - Rockafellar - 1974
14   Minimax theorems (context) - Fan - 1953
14   Martingale measures for discrete-time processes with infinit.. - Schachermayer - 1994
6   Stochastic convex programming: basic duality (context) - Rockafellar, J-B - 1976
5   Duality for stochastic programming interpreted as L (context) - Eisner, Olsen - 1975
3   martingales in stochastic optimization problems (context) - Rockafellar, J-B et al. - 1976
2   Stochastic convex programming: singular multipliers and exte.. (context) - Rockafellar, J-B - 1976
2   Duality and martingales: a mathematical programming perspect.. (context) - King - 2000
2   Minimax and Monotonicity (context) - Simons - 1998
2   The optimal recourse problem in discrete time: -multipliers .. (context) - Rockafellar, J-B - 1978
2   Stochastic convex programming: relatively complete recourse .. (context) - Rockafellar, J-B - 1976
1   A new approach to Lagrange multipliers (context) - Clark - 1976
1   Contingent claims analysis from an optimization viewpoint (context) - King, Korf - 2000

Documents on the same site (http://www.math.washington.edu/~korf/abstracts.html):   More
Insurer's Portfolios of Risks: Approximating Infinite Horizon.. - Korf (1998)   (Correct)
An Approximation Framework For Infinite - Horizon Stochastic Dynamic   (Correct)
Martingale Pricing Measures in Incomplete Markets via.. - King, Korf (2002)   (Correct)

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