Consider the following payoff matrix, where the payoffs are profits in thousand $.

Explanation of payoff: If Player 1 chooses Strategy A and player 2 chooses Strategy B then Player 1 gets $100,000 and Player 2 gets $50,000

Player 2

Strategy A B C

A 250, 200100, 50170, 280

Player 1

B 260, 140 270,270130, 130

C 265, 300120, 130125, 140

1. Find the Nash equilibrium if the players make the decisionssimultaneously.
2. Are there any dominant strategies in the game?
3. Is this a prisoner's dilemma type problem? Explain why.
4. Find the outcome if both players are risk averse and choose a maxi-min strategy.
5. Now consider the game as sequential.How much would player 2 invest to be the first mover? Is there any potential for side payments? (one player offering the other to be 2ndmover) If so, who will pay and how much?