Homework $7$

Name:

Math $1060-$Spring $2023$

Consider the two voting systems $3$;$2,1,1$ and $6$;$5,3,1$ where the weights are assigned to a faculty

advisor, a graduate student, and an undergraduate student, respectively. Compute the Shapley$-$Shubik

Power Index $($SSPI$)$ of each voter for the two voting systems. What does this say about the two voting

systems?

Give an example of a weighted voting system for which there are a total of $5$ voters, two voters have

veto power, and exactly one voter is a dummy voter.