2. Hawk-Dove isa classical game in game theory and called the chicken game. It's about two animals fighting over some prey. Each can be passive or aggressive. Each prefers to be aggressive if its opponent is passive, and passive if its opponent is aggressive; given its own it prefers the outcome when its opponent is passive to that in which its opponent is aggressive. (a) (b) (c) (d) (f) Write down the set of players and their strategy Write down the preference of each player. (Hint: The order of all the outcomes of each player. If a is preferred than b, then a * b) Formulate this situation as a strategic game (normal form game). (Hmt: a is preferred than b if and only if the payoff of a is higher than the payoff of b a > b u(a) > u(b)) Find its Nash equilibria. Is any of them strict? Explain. Find out all the pareto efficient outmmes of the game. A symmetric game is a game in which all players have the same actions and symmetric payoffs given each individual's action. = I, s, S. Is this a symmetric game? Explain.