The game of Odd Man Out is a three-player coin tossgame in which each player must choose heads or tails. If allthe players make the same choice, the house pays eachplayer $1; otherwise, the odd man out pays each of the otherplayers $1.a Find the characteristic function for this game.b Find the core of this game.c Find the Shapley value for this game.
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
The game of Odd Man Out is a three-player coin toss
game in which each player must choose heads or tails. If all
the players make the same choice, the house pays each
player $1; otherwise, the odd man out pays each of the other
players $1.
a Find the characteristic function for this game.
b Find the core of this game.
c Find the Shapley value for this game.
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