If a game is dominance solvable, is there a mixed strategy NE? If there is, how do I solve that?
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Hint: Suppose there exists a mixed strategy NE where player 1 randomizes between pure strategies $s_1$ and $s_1'$ with positive probability. Can you ascertain any dominance relation between $s_1$ and $s_1'$? If not, is the game with a mixed strategy NE dominance solvable? – Herr K. Jul 15 '22 at 00:45
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1Does this answer your question? Can a dominance solvable game have a mixed strategy equilibrium? – Herr K. Jul 15 '22 at 21:13