# Is there a mixed strategy in dominance solvable game?

If a game is dominance solvable, is there a mixed strategy NE? If there is, how do I solve that?

• 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? Jul 15, 2022 at 0:45
• Does this answer your question? Can a dominance solvable game have a mixed strategy equilibrium? Jul 15, 2022 at 21:13