Consider the generic weighted voting system [ q : w 1 , w 2 , ... , w N ] . (Assume w 1 ≥ w 2 ≥ ... ≥ w N ). a. Find all the possible values of q for which no player has veto power. b. Find all the possible values of q for which every player has veto power. c. Find all the possible values of q for which P i , has veto power, but P i + 1 does not. ( Hint : See Exercise 60 .)
Consider the generic weighted voting system [ q : w 1 , w 2 , ... , w N ] . (Assume w 1 ≥ w 2 ≥ ... ≥ w N ). a. Find all the possible values of q for which no player has veto power. b. Find all the possible values of q for which every player has veto power. c. Find all the possible values of q for which P i , has veto power, but P i + 1 does not. ( Hint : See Exercise 60 .)
Solution Summary: The author calculates the possible values of q for which no player has a veto power, based on the weighted voting system ith.
The fraternity is electing a national president and there are four candidates: Alberto (A), Bate (B), Carl (C), and Dave (D). The voter preferences are:
(CADB) 93
(CABD) 113
(DABC) 123
(BADC) 143
Who wins the election using the Hare method? Does this violate the Condorcet criterion?
Consider the weighted voting system 25:18,14,w_(3). What is the largest possible value for the weight w_(3) which guarantees P_(3) is the only player who is a dummy?
Consider the weighted voting system [q: 15, 8, 3, 1] Find the Banzhaf power distribution of this weighted voting system,
When the quota is 15
When the quota is 16
When the quota is 18
Chapter 2 Solutions
MyLab Math with Pearson eText -- Standalone Access Card -- for Excursions in Modern Mathematics (9th Edition)
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