Odd Man Out is a three player coin toss game in which each player chooses H or T. If all three… 1 answer below »

Odd Man Out is a three player coin toss game in which each player chooses H or T. If all three make the same choice, the house pays each player 1; otherwise the odd man out pays the other players 1. Consider this as a three player nonzero sum game. (a) Find the characteristic function for the game.

 (b) Find the core