Home

About

Advanced Search

Browse by Discipline

Scientific Societies

E-print Alerts

Add E-prints

E-print Network
FAQHELPSITE MAPCONTACT US


  Advanced Search  

 
Parallel Repetition in Projection Games and a Concentration University of Washington
 

Summary: Parallel Repetition in Projection Games and a Concentration
Bound
Anup Rao
University of Washington
anuprao@cs.washington.edu
September 17, 2010
Abstract
A two player game is played by cooperating players who are not allowed to communicate. A
referee asks the players questions sampled from some known distribution and decides whether
they win or not based on a known predicate of the questions and the players' answers. The
parallel repetition of the game is the game in which the referee samples n independent pairs of
questions and sends the corresponding questions to the players simultaneously. If the players
cannot win the original game with probability better than (1 - ), what's the best they can do
in the repeated game?
We improve earlier results of [Raz98] and [Hol07], who showed that the players cannot win
all copies in the repeated game with probability better than (1-/2)(n2
/c)
(here c is the length
of the answers in the game), in the following ways:
We show that the probability of winning all copies is (1 - /2)(n)

  

Source: Anderson, Richard - Department of Computer Science and Engineering, University of Washington at Seattle

 

Collections: Computer Technologies and Information Sciences