Clem (C) is sitting at the best seat in the Sports bar minding his own business when in walks the Dark Stranger (DS). The Dark Stranger would like to Bully Clem to get the seat, but only if Clem is a Wimp. If Clem is Tough, the Dark Stranger prefers to Defer to Clem. The Dark Stranger doesn't know whether Clem is a Wimp or is Tough, but he knows that with probability 1/3 Clem is Tough and with probability 2/3 Clem is a Wimp. If Clem is a Wimp and the Dark Stranger Bullies him, Clem will move, but if Clem is Tough and the Dark Stranger Bullies him, Clem will ght for his place at the bar. Clem can signal whether he is Tough or a Wimp by choosing to consume either Beer or Quiche. Real men (those who are Tough) don't like quiche but do like Beer and Wimps like Quiche and don't like Beer. Clem gets 3 points for consuming something he does like and nothing for consuming something he doesn't like. Also, he gets 6 points if the Dark Stranger Defers to him and nothing if he is Bullied. The Dark Stranger gets 3 points if he Bullies a Wimp or Defers to a Tough guy, and he gets nothing if he Bullies a Tough guy or Defers to a Wimp. Draw a game tree for this situation. Describe the strategy sets for the two players. Give the strategic form of the game. Show that the game in a has no Subgame Perfect Nash Equilibria in pure strategies. 9"? 15"