Optimality of non-adaptive strategies: The case of parallel games

G. Demay, P. Gazi, U. Maurer, B. Tackmann, in:, IEEE International Symposium on Information Theory, IEEE, 2014.


Conference Paper | Published | English

Scopus indexed
Author
Demay, Grégory; Gazi, PeterIST Austria; Maurer, Ueli; Tackmann, Björn
Department
Abstract
Most cryptographic security proofs require showing that two systems are indistinguishable. A central tool in such proofs is that of a game, where winning the game means provoking a certain condition, and it is shown that the two systems considered cannot be distinguished unless this condition is provoked. Upper bounding the probability of winning such a game, i.e., provoking this condition, for an arbitrary strategy is usually hard, except in the special case where the best strategy for winning such a game is known to be non-adaptive. A sufficient criterion for ensuring the optimality of non-adaptive strategies is that of conditional equivalence to a system, a notion introduced in [1]. In this paper, we show that this criterion is not necessary to ensure the optimality of non-adaptive strategies by giving two results of independent interest: 1) the optimality of non-adaptive strategies is not preserved under parallel composition; 2) in contrast, conditional equivalence is preserved under parallel composition.
Publishing Year
Date Published
2014-01-01
Proceedings Title
IEEE International Symposium on Information Theory
Article Number
6875125
Conference
IEEE International Symposium on Information Theory Proceedings
Conference Location
Honolulu, USA
Conference Date
2014-06-29 – 2014-07-04
IST-REx-ID

Cite this

Demay G, Gazi P, Maurer U, Tackmann B. Optimality of non-adaptive strategies: The case of parallel games. In: IEEE International Symposium on Information Theory. IEEE; 2014. doi:10.1109/ISIT.2014.6875125
Demay, G., Gazi, P., Maurer, U., & Tackmann, B. (2014). Optimality of non-adaptive strategies: The case of parallel games. In IEEE International Symposium on Information Theory. Honolulu, USA: IEEE. https://doi.org/10.1109/ISIT.2014.6875125
Demay, Grégory, Peter Gazi, Ueli Maurer, and Björn Tackmann. “Optimality of Non-Adaptive Strategies: The Case of Parallel Games.” In IEEE International Symposium on Information Theory. IEEE, 2014. https://doi.org/10.1109/ISIT.2014.6875125.
G. Demay, P. Gazi, U. Maurer, and B. Tackmann, “Optimality of non-adaptive strategies: The case of parallel games,” in IEEE International Symposium on Information Theory, Honolulu, USA, 2014.
Demay G, Gazi P, Maurer U, Tackmann B. 2014. Optimality of non-adaptive strategies: The case of parallel games. IEEE International Symposium on Information Theory. IEEE International Symposium on Information Theory Proceedings
Demay, Grégory, et al. “Optimality of Non-Adaptive Strategies: The Case of Parallel Games.” IEEE International Symposium on Information Theory, 6875125, IEEE, 2014, doi:10.1109/ISIT.2014.6875125.
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