Consider the following two-player game. Both players simultaneously call out laver 1 wins if the sum of the numbers called is odd and Player 2 wins if their sum is even. The loser pays the winner the one of the numbers: {2,3}. product of the two numbers called (in dollars) la) Draw the payoff matrix for this game. lb) Find a (pure of mixed) Nash equilibrium in this game. Show your steps if it is a mixed equilibrium 1c) Now imagine that it is a Stackelberg game, where Player 1 is the leader and Player 2 is the follower. Find an optimal strategy for Player 1 in this game. Explain why it is an optimal strategy