• Title of article

    The halflie problem

  • Author/Authors

    Spencer، نويسنده , , Joel and Yan، نويسنده , , Catherine H.، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2003
  • Pages
    21
  • From page
    69
  • To page
    89
  • Abstract
    In Ulamʹs game Paul tries to find one of n possibilities with q Yes–No questions, while responder Carole is allowed to lie a fixed number k of times. We consider an asymmetric variant in which Carole must say yes when that is the correct answer (whence the halflie). We show that the maximal Ak(q) for which Paul wins has the asymptotic formAk(q)=2q+kk!q−k+Θ(2qq−k−12).
  • Keywords
    Asymptotic formula , Ulamיs problem , Liarיs game , Asymmetric packing
  • Journal title
    Journal of Combinatorial Theory Series A
  • Serial Year
    2003
  • Journal title
    Journal of Combinatorial Theory Series A
  • Record number

    1530812