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I can't think of any way there could be an easy, completely elegant/satisfying answer to this question, particularly because the ending payoff is so hard to compute; however, my thoughts are too lengthy to post as a comment. The best idea I have is this: In the case of chess, try approximating the probability that White will win based on White's material ...


Is there a tool which solves parametric games? Not that I am aware of (I am a co-author of GTE and help with Gambit). The best suggestion I have if you don't find such a tool (and I doubt one exists) is to do a parameter sweep and solve a bunch of individual instantiations and see what the resulting sets of equilibria say about $EQ()$. Gambit is very ...

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