Chapter 2, Problem 60E

Veto power. A player P with weight w is said to have veto power if and only if $w<q$, and

$V-w<q$ (Where V denotes the total number of votes in the weighted voting system).

Explain why each of the following is true:

a. A player has veto power if and only if the player is a member of every winning coalition.

b. A player has veto power if and only if the player is a critical player in the grand coalition.