The Liar Game Over an Arbitrary Channel

We introduce and analyze a liar game in which t-ary questions are asked and the responder may lie at most k times. As an additional constraint, there is an arbitrary but prescribed list (the channel) of permissible types of lies. For any fixed t, k, and channel, we determine the exact asymptotics of...

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Bibliographic Details
Published inCombinatorica (Budapest. 1981) Vol. 25; no. 5; pp. 537 - 559
Main Authors Dumitriu, Ioana, Spencer, Joel
Format Journal Article
LanguageEnglish
Published Heidelberg Springer Nature B.V 01.09.2005
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ISSN0209-9683
1439-6912
DOI10.1007/s00493-005-0033-3

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Summary:We introduce and analyze a liar game in which t-ary questions are asked and the responder may lie at most k times. As an additional constraint, there is an arbitrary but prescribed list (the channel) of permissible types of lies. For any fixed t, k, and channel, we determine the exact asymptotics of the solution when the number of queries goes to infinity.
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ISSN:0209-9683
1439-6912
DOI:10.1007/s00493-005-0033-3