Howard Whose has left an estate of $200,000 to supporthis three ex-wives. Unfortunately, Howard’s attorney hasdetermined that each ex-wife needs the following amount ofmoney to take care of Howard’s children: wife 1—$100,000;wife 2—$200,000; wife 3—$300,000. Howard’s attorneymust determine how to divide the money among the threewives. He defines the value of a coalition S of ex-wives tobe the maximum amount of money left for the ex-wives inS after all ex-wives not in S receive what they need. Usingthis definition, construct a characteristic function for thisproblem. Then determine the core and Shapley value forthis 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.
Howard Whose has left an estate of $200,000 to support
his three ex-wives. Unfortunately, Howard’s attorney has
determined that each ex-wife needs the following amount of
money to take care of Howard’s children: wife 1—$100,000;
wife 2—$200,000; wife 3—$300,000. Howard’s attorney
must determine how to divide the money among the three
wives. He defines the value of a coalition S of ex-wives to
be the maximum amount of money left for the ex-wives in
S after all ex-wives not in S receive what they need. Using
this definition, construct a characteristic function for this
problem. Then determine the core and Shapley value for
this game.
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