A company is run by two senior executives and three junior executives. Suppose that these five executives vote on all decisions made. In order for a decision to pass both senior executives and one junior executive must vote in favor of it. What is the Banzhaf Power of a senior executive?
A) 1 / 17
B) 6 / 17
C) 7 / 17
D) 8 / 17
E) None of the above.

Question

A company is run by two senior executives and three junior executives. Suppose that these five executives vote on all decisions made. In order for a decision to pass both senior executives and one junior executive must vote in favor of it. What is the Banzhaf Power of a senior executive?
A)  1 / 17 
B)  6 / 17 
C)  7 / 17 
D)  8 / 17 
E) None of the above.

Quizplus · Accepted Answer

The Banzhaf Power Index measures the power of a voter by counting the number of times a voter can change an outcome from a loss to a win. In this scenario, a senior executive can change the outcome by voting in favor or against, as both senior executives are needed for a decision to pass. There are 6 winning coalitions where a senior executive is pivotal, and the total number of pivotal votes is 17, giving a power index of 6/17 for each senior executive.

A Company Is Run by Two Senior Executives and Three