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FOCS
2009
IEEE
14 years 3 months ago
Smoothed Analysis of Multiobjective Optimization
Abstract— We prove that the number of Pareto-optimal solutions in any multiobjective binary optimization problem with a finite number of linear objective functions is polynomial...
Heiko Röglin, Shang-Hua Teng
FOCS
2009
IEEE
14 years 3 months ago
Decomposing Coverings and the Planar Sensor Cover Problem
We show that a k-fold covering using translates of an arbitrary convex polygon can be decomposed into Omega(k) covers (using an efficient algorithm). We generalize this result to ...
Matt Gibson, Kasturi R. Varadarajan
FOCS
2009
IEEE
14 years 3 months ago
Convergence to Equilibrium in Local Interaction Games
— We study a simple game theoretic model for the spread of an innovation in a network. The diffusion of the innovation is modeled as the dynamics of a coordination game in which ...
Andrea Montanari, Amin Saberi
FOCS
2009
IEEE
14 years 3 months ago
Orthogonal Range Reporting in Three and Higher Dimensions
In orthogonal range reporting we are to preprocess N points in d-dimensional space so that the points inside a d-dimensional axis-aligned query box can be reported efficiently. T...
Peyman Afshani, Lars Arge, Kasper Dalgaard Larsen
FOCS
2009
IEEE
14 years 3 months ago
Convergence of Local Dynamics to Balanced Outcomes in Exchange Networks
— Bargaining games on exchange networks have been studied by both economists and sociologists. A Balanced Outcome [9], [15] for such a game is an equilibrium concept that combine...
Yossi Azar, Benjamin E. Birnbaum, L. Elisa Celis, ...