O'Neill's game:-
Consider the game in Figure 1.
a. Find a completely mixed Nash equilibrium in which each player assigns the same probability to the actions 1, 2, and 3.
b. Use the facts that in a strictly competitive game the players' equilibrium payoffs are unique and each player's equilibrium strategy guarantees her payoff is at least her equilibrium payoff to show that the equilibrium you found in part a is the only equilibrium of the game.
