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MFCS
2001
Springer
13 years 11 months ago
Playing Games with Algorithms: Algorithmic Combinatorial Game Theory
Combinatorial games lead to several interesting, clean problems in algorithms and complexity theory, many of which remain open. The purpose of this paper is to provide an overview...
Erik D. Demaine
STOC
2007
ACM
119views Algorithms» more  STOC 2007»
14 years 7 months ago
Balanced max 2-sat might not be the hardest
We show that, assuming the Unique Games Conjecture, it is NPhard to approximate MAX 2-SAT within LLZ + , where 0.9401 < LLZ < 0.9402 is the believed approximation ratio of t...
Per Austrin
SIAMMAX
2010
164views more  SIAMMAX 2010»
13 years 2 months ago
Uniqueness of Low-Rank Matrix Completion by Rigidity Theory
The problem of completing a low-rank matrix from a subset of its entries is often encountered in the analysis of incomplete data sets exhibiting an underlying factor model with app...
Amit Singer, Mihai Cucuringu
FOSSACS
2009
Springer
14 years 2 months ago
Facets of Synthesis: Revisiting Church's Problem
In this essay we discuss the origin, central results, and some perspectives of algorithmic synthesis of nonterminating reactive programs. We recall the fundamental questions raised...
Wolfgang Thomas
SIGECOM
2003
ACM
135views ECommerce» more  SIGECOM 2003»
14 years 19 days ago
Playing large games using simple strategies
We prove the existence of -Nash equilibrium strategies with support logarithmic in the number of pure strategies. We also show that the payoffs to all players in any (exact) Nash...
Richard J. Lipton, Evangelos Markakis, Aranyak Meh...