Demonstrates unique fully mixed Nash equilibria with irradical probabilities in n-player games, highlighting their significance.
We present for every n≥4 an n-player game in normal form with payoffs in \0,1,2\ that has a unique, fully mixed, Nash equilibrium in which all the probability weights are irradical (i.e., algebraic but not closed form expressible even with m-th roots for any integer m).
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Orzech et al. (2025) studied this question.
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