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arxiv: 1210.2419 · v2 · pith:GQUBUXQWnew · submitted 2012-10-08 · 🧮 math.CO

Flashcard games

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keywords gamesnumberflashcardappearsbelievecallcardcertain
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We study a certain family of discrete dynamical processes introduced by Novikoff, Kleinberg and Strogatz that we call flashcard games. We prove a number of results on the evolution of these games, an in particular we settle a conjecture of NKS on the frequency with which a given card appears. We introduce a number of generalizations and variations that we believe are of interest, and provide a large number of open questions and problems.

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