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gwern comments on How to avoid dying in a car crash - Less Wrong
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Well, it's not just in 'such cases' but in tons of games there are mixed strategies and even mixed strategies which are the Nash equilibrium.
Well... by such cases I kind-of meant "several-player games". (Then there is the absent-minded driver problem... maybe if you count the driver's self before and after the first intersection as different players... but then that becomes a variable-number-of-players game. Whatever. I guess I've just internalized way too much.)