Weighted Voting Systems

A player who has the ability to pass a motion alone, regardless of everyone else, is called a

• Donald Trump
• dictator
• King Geoffrey
• dummy

Tags

CCSS.7.NS.A.3

A player who has no power (never is needed to pass the motion) is called a

• dummy
• dictator
• critical player
• awkward cousin you were obligated to invite to the party

A player is said to have this if they can keep a motion from being passed if they are the only player to vote "no".

• super powers
• presidential power
• dictatorship
• veto power

Tags

CCSS.7.EE.B.3

[17: 9, 6, 3, 1]
Which player(s) have veto power?

• P1
• P1, P2
• P1, P2, P3
• P1, P2, P3, P4

[17: 9, 6, 3, 1]
Are there any dummies? Who?

• Yes; P1
• Yes; P4
• Yes; P3 and P4
• No dummies

[17: 9, 6, 3, 1]
Which of the following is a WINNING coalition?

• {P1, P2}
• {P1, P3}
• {P1, P2, P3}
• {P1, P2, P4}

Tags

CCSS.HSS.CP.B.9

[15: 11, 7, 5, 2]
Which player(s) have veto power?

• P1
• P1, P2
• P1, P2, P3
• P1, P2, P3, P4

[15: 11, 7, 5, 2]
What is the weight of the coalition {P1, P3, P4}?

• 17
• 18
• 19
• 20

Tags

CCSS.HSA.SSE.A.1

[15: 11, 7, 5, 2]
In the winning coalition {P1, P3, P4}, who is/are the critical player(s)?

• P1
• P1, P2
• P1, P2, P4
• None are critical

[q: 7, 5, 3, 1, 1]
What is the smallest value of q so that P1 has veto power?

• 9
• 10
• 11
• 12