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As another example of LLMs doing creative problem solving: models a year ago, cleverly prompted, could oneshot this puzzle, which confused much of the internet. To my knowledge the puzzle and solution are new to the literature as of my tweet

Jan 20, 2025
Game theory puzzle:
There are 3 people. Each person announces an integer. The smallest unique integer wins: e.g. if your opponents both pick 1, you win with any number. If all 3 pick the same number, the winner is picked randomly
Question: what's the Nash equilibrium?
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