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Rock Paper Scissors (or RPS, as it's known) is pretty darn easy to simulate because there aren't really many variants or possible outcomes. If you've never played it before, it's a one-vs.-one game ...
Zen and the art of RPS. The best part of the site is where they boil down Rock, Paper, and Scissors into archetypes—the characters of the game, c omplete with some outstanding MS paint mockups.