Q1 Matching Pennies Two players are playing the \"Matching Pennies\" game. Both players simultaneously and inde pendently select either Head(H) or Tail[T). Player 1 wins when pennies match [i.e., Head and Head or Tail and Tail), and Player 2 wins when they do not mateh[i.e., Head and Tail or Tail and Head). The loser pays $1 to the winner. (a) Write down the standard payoff matrix for this game. (b) Suppose that Player 1 plays H with probability p and Player 2 plays H with probability q. Construct and plot best response functions, BR1[q) and BR2 (1)). (c) Find all Nash equilibria in pure strategies [if any). (d) Find all Nash equilibria in mixed strategies (if any}