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Electronic Colloquium on Computational Complexity

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Reports tagged with multi-player games:
TR18-121 | 20th June 2018
Justin Holmgren, Lisa Yang

Characterizing Parallel Repetition of Non-Signaling Games: Counterexamples and a Dichotomy Theorem

Non-signaling games are an important object of study in the theory of computation, for their role both in quantum information and in (classical) cryptography. In this work, we study the behavior of these games under parallel repetition.

We show that, unlike the situation both for classical games and for two-player ... more >>>

TR22-167 | 23rd November 2022
Mark Braverman, Subhash Khot, Dor Minzer

Parallel Repetition for the GHZ Game: Exponential Decay

We show that the value of the $n$-fold repeated GHZ game is at most $2^{-\Omega(n)}$, improving upon the polynomial bound established by Holmgren and Raz. Our result is established via a reduction to approximate subgroup type questions from additive combinatorics.

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ISSN 1433-8092 | Imprint