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Rounding Parallel Repetitions of Unique Games Boaz Barak #
 

Summary: Rounding Parallel Repetitions of Unique Games
Boaz Barak #
Princeton University
Moritz Hardt +
Princeton University
Ishay Haviv #
Tel Aviv University
Anup Rao §
Institute for Advanced Study
Oded Regev ¶
Tel Aviv University
David Steurer #
Princeton University
Abstract
We show a connection between the semidefinite relax­
ation of unique games and their behavior under parallel
repetition. Specifically, denoting by val(G) the value of a
two­prover unique game G, and by sdpval(G) the value of
a natural semidefinite program to approximate val(G), we
prove that for every # # N, if sdpval(G) # 1 - #, then

  

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

 

Collections: Computer Technologies and Information Sciences