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FOCS
2009
IEEE
14 years 5 months ago
Settling the Complexity of Arrow-Debreu Equilibria in Markets with Additively Separable Utilities
We prove that the problem of computing an Arrow-Debreu market equilibrium is PPAD-complete even when all traders use additively separable, piecewise-linear and concave utility fun...
Xi Chen, Decheng Dai, Ye Du, Shang-Hua Teng
CALCO
2007
Springer
100views Mathematics» more  CALCO 2007»
14 years 4 months ago
Applications of Metric Coinduction
Metric coinduction is a form of coinduction that can be used to establish properties of objects constructed as a limit of finite approximations. One can prove a coinduction step s...
Dexter Kozen, Nicholas Ruozzi
WINE
2005
Springer
182views Economy» more  WINE 2005»
14 years 4 months ago
Inapproximability Results for Combinatorial Auctions with Submodular Utility Functions
We consider the following allocation problem arising in the setting of combinatorial auctions: a set of goods is to be allocated to a set of players so as to maximize the sum of t...
Subhash Khot, Richard J. Lipton, Evangelos Markaki...
LICS
2003
IEEE
14 years 3 months ago
New Directions in Instantiation-Based Theorem Proving
We consider instantiation-based theorem proving whereby instances of clauses are generated by certain inferences, and where inconsistency is detected by propositional tests. We gi...
Harald Ganzinger, Konstantin Korovin
CDC
2009
IEEE
123views Control Systems» more  CDC 2009»
14 years 1 months ago
Dealing with stochastic reachability
Abstract— For stochastic hybrid systems, stochastic reachability is very little supported mainly because of complexity and difficulty of the associated mathematical problems. In...
Manuela L. Bujorianu