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ECCC
2010

A Strong Parallel Repetition Theorem for Projection Games on Expanders

9 years 10 months ago
A Strong Parallel Repetition Theorem for Projection Games on Expanders
The parallel repetition theorem states that for any Two Prover Game with value at most 1 - (for < 1/2), the value of the game repeated n times in parallel is at most (1 - 3 )(n/s) , where s is the length of the answers of the two provers [24, 17]. For Projection Games, the bound on the value of the game repeated n times in parallel was improved to (1 - 2 )(n) [23] and this bound was shown to be tight [25]. In this paper we study the case where the underlying distribution, according to which the questions for the two provers are generated, is uniform over the edges of a (bipartite) expander graph. We show that if is the (normalized) spectral gap of the underlying graph, the value of the repeated game is at most (1 - 2 )(c()
Ran Raz
Added 10 Dec 2010
Updated 10 Dec 2010
Type Journal
Year 2010
Where ECCC
Authors Ran Raz
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