'nti mar Consider the following game: There are 2 steps. In Step 1 Player 1 chooses between strategy Tails and strategy Heads. If strategy Tails is chosen, Player 1 looses 1 unit of hist'her payoff. If strategy Heads is chosen then player 1 loses nothing. After observing the action chosen in Step 1, Player 1 and 2 simultaneously play the following game in Step 2: a. Represent this scenario as an extensive form game. [8 nut-Its] b. Find the equivalent strategic game of the extensive form game in (a). [15 marks] c. Find the strategies that survive the iterative elimination of weakly and or strictly dominated for the game obtained in part (b). [4 marks] d. Find all pure strategy Nash equilibrium of the game obtained in part (b). [3 marks]