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Analytical approach to parallel repetition

Dinur, Irit, Steurer, David·2014·Proceedings of the forty-sixth annual ACM symposium on Theory of computing

Abstract

We propose an analytical framework for studying parallel repetition, a basic product operation for one-round twoplayer games. In this framework, we consider a relaxation of the value of projection games. We show that this relaxation is multiplicative with respect to parallel repetition and that it provides a good approximation to the game value. Based on this relaxation, we prove the following improved parallel repetition bound: For every projection game G with value at most ρ, the k-fold parallel repetition G⊗k has value at most

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Metadata

Authors
Dinur, I., & Steurer, D.
Venue
Proceedings of the forty-sixth annual ACM symposium on Theory of computing
Publisher
ACM
Published
2014-05-31
Pages
624-633
OpenAlex
W2044471216
Cited by
406
References
11
FWCI
53.49
Type
conference paper
Language
en
Open access
closed

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CoChat. (2026). Citation check: Analytical approach to parallel repetition. https://app.cochat.ai/papers/10.1145/2591796.2591884
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Dinur, I., & Steurer, D. (2014). Analytical approach to parallel repetition. Proceedings of the forty-sixth annual ACM symposium on Theory of computing. https://doi.org/10.1145/2591796.2591884

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