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No. 1683:

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Permanent URL: https://mezzacotta.net/postcard/?comic=1683

Recovered from the browser cache of: unstattedCommoner

The author writes:

I was going to ask whether Beggar My Neighbour always terminates, but it turns out that that is actually an unsolved problem.

Blackdrip's claim to be the World Champion at the game is roughly equivalent to claiming to be the World Champion at flipping a coin, which is another game containing no element of strategy or skill and has the advantage of being known to terminate.