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Journal of Statistical Theory and Practice

, Volume 4, Issue 4, pp 679–697 | Cite as

An Enhanced Model of a Two Player Singled Out Game

  • Michal JohanisEmail author
  • Jan Rychtář
Article

Abstract

A singled out game for two players A and B is analysed. In this game, both players are trying to correctly guess answers to yes/no questions; the first player to answer n questions correctly wins the game. Player B has an advantage of knowing A’s answer before having to announce his own guess. We find the best strategy for both players and give formulas for winning probabilities. We also provide estimates of these probabilities for large n.

Key-words

Two player game Random walk Guessing Strategy 

AMS Subject Classification

91A05 91A60 

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Copyright information

© Grace Scientific Publishing 2010

Authors and Affiliations

  1. 1.Department of Mathematical AnalysisCharles UniversityPraha 8Czech Republic
  2. 2.Department of Mathematics and StatisticsThe University of North Carolina at GreensboroGreensboroUSA

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