Talk page
Title:
Analytical Approach to Parallel Repetition
Speaker:
Abstract:
We propose an “analytical” framework for studying parallel repetitions of one-round two-prover games. We define a new relaxation of the value of a game, val+, and prove that it is both multiplicative and a good approximation for the true value of the game. These two properties imply Raz's parallel repetition theorem as
$val(G^k) ~ val+(G^k) = val+(G)^k ~ val(G)^k$
Using this approach, we will describe a reasonably simple proof for the NP-hardness for $label-cover(1,delta)$, the starting point of many inapproximability results.
We also discuss some new results, including
* parallel repetition for small-soundness games
* a new reduction from general to projection games
* a tight bound for few repetitions matching Raz's counterexample.
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