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Conference Paper

The Interval Liar Game

MPS-Authors
http://pubman.mpdl.mpg.de/cone/persons/resource/persons44338

Doerr,  Benjamin
Algorithms and Complexity, MPI for Informatics, Max Planck Society;

http://pubman.mpdl.mpg.de/cone/persons/resource/persons44908

Lengler,  Johannes
Algorithms and Complexity, MPI for Informatics, Max Planck Society;

http://pubman.mpdl.mpg.de/cone/persons/resource/persons44035

Asano,  Tetsuo
Algorithms and Complexity, MPI for Informatics, Max Planck Society;

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Citation

Doerr, B., Lengler, J., & Steurer, D. (2006). The Interval Liar Game. In Algorithms and Computation: 17th International Symposium, ISAAC 2006 (pp. 318-327). Berlin, Germany: Springer.


Cite as: http://hdl.handle.net/11858/00-001M-0000-000F-2424-9
Abstract
We regard the problem of communication in the presence of faulty transmissions. In contrast to the classical works in this area, we assume some structure on the times when the faults occur. More realistic seems the model that all faults occur in some small time interval. Like previous work, our problem can best be modelled as a two-player perfect information game, in which one player (“Paul”) has to guess a number x from {1, . . . , n} using Yes/No-questions, which the second player (“Carole”) has to answer truthfully apart from few lies. In our setting, all lies have to be in a consecutive set of k rounds. We show that Paul needs roughly log n + log log n + k rounds to determine the number, which is only k more than the case of just one single lie.