5. You are given the weighted voting system (q: 10,5, 3,2). (a) What is the highest possible value of the quota q? (b) Is there a value of g for which P is a dictator? (e) [Bonus] For which values of the quota q are there exactly two players with veto power?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 28PPS
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5. You are given the weighted voting system (q: 10,5, 3,2).
(a) What is the highest possible value of the quota q?
(b) Is there a value of q for which P₁ is a dictator?
(c) [Bonus] For which values of the quota q are there exactly two players with veto power?
Transcribed Image Text:5. You are given the weighted voting system (q: 10,5, 3,2). (a) What is the highest possible value of the quota q? (b) Is there a value of q for which P₁ is a dictator? (c) [Bonus] For which values of the quota q are there exactly two players with veto power?
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