Finiteness of the playing time in 'Beggar-my-neighbour' card game

Details Finiteness of the playing time in 'Beggar-my-neighbour' card game Finiteness of the playing time in 'Beggar-my-neighbour' card game

2011-09-07

arxiv.org/abs/1109.1460v2

Mathematics

Probability

The paper has been submitted to the Problems of Information Transmission. It will appear in English in the English version of

Scientific paper

It is proved that in card games similar to 'Beggar-my-neighbour' the
mathematical expectation of the playing time is finite, provided that the
player who starts the round is determined randomly and the deck is shuffled
when the trick is added. The result holds for the generic setting of the game.

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