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MOR
2006
93views more  MOR 2006»
13 years 9 months ago
Optimization of Convex Risk Functions
We consider optimization problems involving convex risk functions. By employing techniques of convex analysis and optimization theory in vector spaces of measurable functions we d...
Andrzej Ruszczynski, Alexander Shapiro
MOR
2006
123views more  MOR 2006»
13 years 9 months ago
Bin Packing in Multiple Dimensions: Inapproximability Results and Approximation Schemes
We study the multidimensional generalization of the classical Bin Packing problem: Given a collection of d-dimensional rectangles of specified sizes, the goal is to pack them into ...
Nikhil Bansal, José R. Correa, Claire Kenyo...
MOR
2000
67views more  MOR 2000»
13 years 9 months ago
Superlinear Convergence of an Interior-Point Method Despite Dependent Constraints
We show that an interior-pointmethodfor monotonevariationalinequalitiesexhibits superlinear convergence provided that all the standard assumptions hold except for the well-known as...
Daniel Ralph, Stephen J. Wright
MOR
2007
116views more  MOR 2007»
13 years 9 months ago
Optimal Strategies and Utility-Based Prices Converge When Agents' Preferences Do
A discrete-time financial market model is considered with a sequence of investors whose preferences are described by utility functions Un defined on the whole real line. It is s...
Laurence Carassus, Miklós Rásonyi
MOR
2010
106views more  MOR 2010»
13 years 8 months ago
Smoothing Techniques for Computing Nash Equilibria of Sequential Games
We develop first-order smoothing techniques for saddle-point problems that arise in the Nash equilibria computation of sequential games. The crux of our work is a construction of ...
Samid Hoda, Andrew Gilpin, Javier Peña, Tuo...