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such as solving 2x2/mxn game problem by using maximin minmax principle,mixed strategy,dominence property, modified dominance property,graphical method,matrix method, linear programming problem etc.

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As far as I know the only software developed for finding equilibria in games is Gambit. I never worked with it so I do not know what it can do. At the same time finding equilibria in infinite games is a computational nightmare, so I would assume Gambit works only for finite games.

Maybe the answers here will help as well?