The halflie problem Academic Article uri icon

abstract

  • In Ulam's 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 form Ak(q) = 2q+k k!q-k + (2q q-k-1/2). 2003 Elsevier Science (USA). All rights reserved.

published proceedings

  • JOURNAL OF COMBINATORIAL THEORY SERIES A

author list (cited authors)

  • Spencer, J., & Yan, C. H.

citation count

  • 7

complete list of authors

  • Spencer, J||Yan, CH

publication date

  • July 2003