jmmcd comments on Mixed strategy Nash equilibrium - Less Wrong
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Under the assumption of universal rationality. Without that assumption (which would not be fulfilled in a real fantasy sword-fighting game), the best strategy/mixed strategy does not correspond to the Nash equilibrium, and there remains plenty to argue about.
What happens when some percentage of people are picking randomly, some people are "stylin", and some people are performing "misinformed" calculations and/or simulations? The fact that some people actually did the latter shows that the effect must be taken into account.
The effect of irrationality should be taken into account, but unless you have a good way to do so (like a solid model of the effect), adopting another strategy would be akin to betting on red sometimes.