4. Consider the following variant of the card game discussed in class. Initially each player puts a dollar in the pot. Then each player is dealt a card; each player's card is equally likely to be High or Low, independent of the other player's card. Each player sees only her own card. Player 1 may see or raise. If she sees, then the players compare their cards. The one with the higher card Wins the pot; if the cards are the same, then each player takes back the dollar she had put in the pot. If player 1 raises, then she adds $2 to the pot, and player 2 may pass or meet. If player 2 passes, then player 1 takes the money in the pot. If player 2 meets, then she adds $2 to the pot and the players compare cards, the one with the higher card winning the pot; if the cards are the same, then each player takes back the $3 she had put in the pot. a. Model this card game as an extensive game. (Drawing a diagram is sufcient; you can avoid the need for information sets to cross histories by putting the initial move in the center of your diagram.) b. Find each player's strategies in this game. c. Find the Nash equilibria of this game