A top economist explains how weighted voting could change democracy
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Vote for Math! 40 Election-Themed Word Problems |Gr 2–8 Differentiated Practice
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SOLVED:(a) Consider the weighted voting system [22: 10,10,10 10,1] . Are there any dummies? Explain your answer. (b) Without doing any work [but using your answer for (a)], find the Banzhaf and Shapley-Shubik power distributions of this weighted voting system. (c) Consider the weighted voting system [q: 10,10,10, 10,1] . Find all the possible values of q for which P5 is not a dummy. (d) Consider the weighted voting system [34: 10,10, 10,10, w] . Find all positive integers w which make P5 a dummy
SOLVED:(a) Consider the weighted voting system [22: 10,10,10 10,1] . …
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Consider a weighted voting system with three players. If Player 1 is the only player with veto power, there are no dictators, and there are no dummies: a. Find the Banzhof power distribution. b. Find the Shapley-Shubik power distribution | Numerade
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