Dictators, Dummies, and Veto Power
Dictators, Dummies, and Veto Power
Dictators, Dummies, and Veto Power
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trovanotizie.com<br />
<strong>Dictators</strong>, <strong>Dummies</strong>, <strong>and</strong> <strong>Veto</strong><br />
<strong>Power</strong><br />
Unit 2 – Weighted Voting
<strong>Dictators</strong><br />
What is a dictator?<br />
Look at this weighted voting<br />
system:<br />
trovanotizie.com<br />
[11:12, 5, 4]<br />
One of the players, ________ is in complete control.<br />
It doesn’t matter what P 2<br />
<strong>and</strong> P 3 want.<br />
If ______ is for the motion, it passes. If ______ is<br />
against the motion, then it fails.
<strong>Dummies</strong><br />
A dummy<br />
__________________________________<br />
__________________________________<br />
Take this voting system:<br />
[30: 10, 10, 10, 9]<br />
What are the only two combinations of players that will result in a<br />
passed motion?<br />
or
<strong>Veto</strong> power:<br />
<strong>Veto</strong> <strong>Power</strong><br />
- must not be a dictator<br />
_____________________________________________<br />
____________________________________________.<br />
* A player cannot force a motion to pass, but can force a motion to fail<br />
A player with weight w has veto power if <strong>and</strong> only if w < q <strong>and</strong> V-w < q (where<br />
V = w 1 + w 2 +…+ w N ).<br />
Consider this weighted voting<br />
system:<br />
[12: 9, 5, 4, 2]<br />
Can P 1 make the motion pass by himself/herself? __________<br />
Can P 2 , P 3 , <strong>and</strong> P 4 make the motion pass without P 1 ?<br />
__________________________________________________________