On playing “Twenty Questions” with a liar

  • Authors:
  • Aditi Dhagat;Peter Gács;Peter Winkler

  • Affiliations:
  • -;-;-

  • Venue:
  • SODA '92 Proceedings of the third annual ACM-SIAM symposium on Discrete algorithms
  • Year:
  • 1992

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Abstract

Motivated by the problem of searching in the presence of adversarial errors, we consider a version of the game “Twenty Questions” played on the set {0,…,N-1} where the player giving answers may lie in her answers. The questioner is allowed Q questions and the responder may lie in upto [rQ] of the answers, for some fixed and previously known fraction r. Under three different models of this game and for two different question classes, we give precise conditions (i.e. tight bounds on r and, in most cases, optimal bounds on Q under which the questioner has a winning strategy in the game.