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#26
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[ QUOTE ]
I think you have this confusion exactly backwards. First, I am not necessarily talking about facing "maximally exploitive opponents" when I am talking about using mixed strategies in the OP or elsewhere in this thread. Second, even when playing "maximally exploitive opponents", I'm saying I believe that there are times a mixed strategy is called for even when the various parts of the mix have different expected values. In your earlier post you denied this assertion, and then claim that it all flows from a DEFINITION, of all things. And then you call me clueless. I'm not going to get into a flame war with you, and maybe I'm wrong in my second assertion (though I doubt it), but you are showing an incredible lack of reading comprehension. [/ QUOTE ] Wow. Let me walk you through this, one step at a time. [ QUOTE ] First, I am not necessarily talking about facing "maximally exploitive opponents" when I am talking about using mixed strategies in the OP or elsewhere in this thread. [/ QUOTE ] Yes, you're talking about using exploitive strategies, not optimal ones. And exploitive strategies are always pure strategies. It doesn't make sense to talk about mixing strategies against exploitable opponents, and I defy you to provide any example to the contrary. (Hint: none exist. Oscillating between different pure strategies can be indicated, but never mixing.) [ QUOTE ] Second, even when playing "maximally exploitive opponents", I'm saying I believe that there are times a mixed strategy is called for even when the various parts of the mix have different expected values. [/ QUOTE ] Here you are also categorically wrong. The very definition of an optimal mixed strategy in game theory requires that the mixed strategy yield equal EV across all actions vs. a maximally exploitive opponent. [ QUOTE ] In your earlier post you denied this assertion [/ QUOTE ] No. [ QUOTE ] And then you call me clueless. [/ QUOTE ] Yes. If you ever swallow your pride enough to actually acquire even the most cursory familiarity with game theory, you will agree. |
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