Matching pennies (35 points)a) (7 points) the normal form of the game was given in the lecture. draw the extensive form of thisgame. b) (7 points) in the lecture, this was presented as a simultaneous move game (both players flipped at thesame time). what would be the difference(s), if any, if it were a sequential move game (the secondplayer flips after the first player’s flip is finished)? c) (7 points) now assume that instead of flipping a penny randomly and letting nature determine whetherit lands heads or tails, each player gets to write down either "heads" or "tails" on a piece of paper. the papers are revealed simultaneously. what would be the difference(s), if any, compared to thesituation where nature determines the outcome? d) (7 points) assume that rather than flipping a coin, players are writing down "heads" or "tails" and itis a sequential game. draw the game tree with payouts. e) (7 points) in part d, is there an advantage to being either the first mover or second mover? why orwhy not?