How could I construct a 3x3 simultaneous game with 2 players with no equilibrium in pure strategies but 1 is mixed strategies . I am able to write down one with no pure strategy Nash equilibrium but how would I then know if only one mixed strategy would show not more?
I was thinking if I could eliminate one row and one column ,I.e they are strictly dominated in mixed strategies then I would only get 1 MSNE otherwise I get a continuum of mixed strategy Nash equilibria’s is that right?