In front of two players there is a pile of n stones. Each player in turn decides to take 1 or 2 stones from the pile. Player 1 starts first. The last player to take a stone loses the game! a. For n = 4, draw the game tree representation and formally describe the story as 1 an extensive form game, that is specify formal objects such as the histories, players. (5 points) b. For n = 4, find all SPE (subgame perfect equilibrium) of this game. c. For any arbitrary n, who is the winner of this game (as a function of n)? Describe the SPE strategies of the players.