jmmcd comments on Mixed strategy Nash equilibrium - Less Wrong

40 Post author: Meni_Rosenfeld 16 October 2010 04:00PM

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Comment author: jmmcd 14 October 2010 10:57:47PM *  3 points [-]

I think you're making a distinction between one-shot and iterated games. This is a different distinction than that between mixed and non-mixed strategies. You can have a mixed strategy equilibrium in a one-shot game, as in both the swords-n-armour example and the attack/defend East/West example.

So: if the game is one-shot (and you can see the current distribution), the right decision depends only on the current distribution, as you said.

Comment author: whpearson 14 October 2010 11:41:49PM 2 points [-]

The question was

Which sword and armor combination do you choose, and why?

My point was that you can't say mixed strategy to the first question, although it is a valid answer to the second part.

You could say yellow/yellow, because that was the value selected by my RNG using the mixed strategy distribution Z.

But yes I was being imprecise with my language, I'm a little rusty. I'll fix once I have had some sleep.