In tic-tac-toe, there are at least two very different optimum strategies for the first player, depending on whether you choose to play in the centre or in the corner. Sincerely, Adam P. Goucher
Sent: Saturday, August 16, 2014 at 1:41 AM From: "Dan Asimov" <dasimov@earthlink.net> To: math-fun <math-fun@mailman.xmission.com> Subject: Re: [math-fun] Game Theory/Chess strategy question
I wonder if there necessarily *is* only one optimum strategy.
Of course in any given game -- let's say chess -- there just might accidentally be several strategies that are tied for optimum.
Even if not, if we define a tolerance vaguely by saying that even 10 moves ahead the best human players could not say which of 2 different strategies is better . . . there might be plenty of strategies like that.
Or, suppose we could eliminate draws from chess -- so everyone is just trying to win -- would there be a theorem that there is a unique optimal strategy?
That's really too vague to answer, but still.
--Dan
On Aug 15, 2014, at 4:37 PM, Dave Dyer <ddyer@real-me.net> wrote:
For games such as chess, the optimum strategy is what it is, there's no choice about it. Attack and defence, aggression and resistance, are human concepts with no basis in reality.
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