Problems of Information Transmission

, Volume 49, Issue 2, pp 163–166 | Cite as

Finiteness in the Beggar-My-Neighbor card game

  • E. L. LakshtanovEmail author
  • A. I. Aleksenko
Large Systems


For card games of the Beggar-My-Neighbor type, we prove finiteness of the mathematical expectation of the game duration under the conditions that a player to play the first card is chosen randomly and that cards in a pile are shuffled before being placed to the deck. The result is also valid for general-type modifications of the game rules. In other words, we show that the graph of the Markov chain for the Beggar-My-Neighbor game is absorbing; i.e., from any vertex there is at least one path leading to the end of the game.


Information Transmission Mathematical Expectation Rule Function Card Game Bernoulli Trial 
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Copyright information

© Pleiades Publishing, Ltd. 2013

Authors and Affiliations

  1. 1.Department of MathematicsAveiro UniversityAveiroPortugal

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