A group of n hunters together can kill a tiger. Alternatively, each hunter alone may shoot a flamingo, but only if the n hunters together don't hunt for a tiger. Assume that a coalition may split its spoils any way among its members and that each hunter prefers getting 1/????th of a tiger to having a flamingo.

a) Model this as a coalitional game with transferable payoffs, specify the worth of each coalition, and find the core of the game.

b) What are the Pareto-optimal outcomes in this game?