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Excuse me, since I am modeling a situation into a nonzero-sum n-player non-cooperative game. I wonder if there is any algorithm for computing its Nash equilibria?

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I did a quick search, something that I highly suggest you do before asking questions here, and found this. It gives a step-by-step for computing the equilibria. Here's another discussing non-cooperative games.

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    $\begingroup$ This is only for NE in pure strategy. Things get more complicated when computing NE in mixed strategy. But thank you, I've found some algorithms. $\endgroup$ – Rita Tseng Aug 15 '15 at 8:35

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