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Ulam’s searching game with lies. (English) Zbl 0674.90110
Summary: We determine the minimal number of yes-no queries sufficient to find an unknown integer between 1 and \(2^ m\) if at most two of the answers may be erroneous.

MSC:
91A99 Game theory
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[1] Berlekamp, E.R, Block coding for the binary symmetric channel with noiseless, delayless feedback, (), 61-85 · Zbl 0176.49404
[2] Czyzowicz, J; Mundici, D; Pelc, A, Solution of Ulam’s problem on binary search with two lies, J. combin. theory ser. A, 49, 384-388, (1988) · Zbl 0662.68059
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[4] Rivest, R.L; meyer, A.R; Kleitman, D.J; Winklmann, K; Spencer, J, Coping with errors in binary search procedures, J. comput. system sci., 20, 396-404, (1980) · Zbl 0443.68043
[5] Spencer, J, Guess a number—with lying, Math. mag., 57, No. 2, 105-108, (1984) · Zbl 0538.90110
[6] Ulam, S.M, Adventures of a Mathematician, (), 281 · Zbl 0352.01009
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