Post by: fagboi on May 5, 2020
Question 1
Consider the generic weighted voting system
. Which of the following mathematical statements is equivalent to saying that P1 has veto power?◦ w1 ≥ q
◦ w1 > q
◦ w1 > w2
◦ w2 + w3 + . . . + wN < q and w1 < q
◦ none of these
Question 2
Refer to the weighted voting system
and the Banzhaf definition of power. (The four players are P1, P2, P3, and P4.)The weight of the coalition {P2, P3, P4} is
◦ 25.
◦ 57.
◦ 60.
◦ 28.
◦ none of these
Post by: Harbringer on May 5, 2020
Answer 1
w2 + w3 + . . . + wN < q and w1 < qAnswer 2
28.Post by: pepyto on May 5, 2020
and the Banzhaf definition of power. (The four players are P1, P2, P3, and P4.)The winning coalitions are:
◦ all coalitions with two or more players, one of which is P1.
◦ all coalitions with three or more players.
◦ all coalitions with two or more players.
◦ all coalitions.
◦ none of these
Post by: moormoney on May 5, 2020
Post by: V@ndy87 on May 5, 2020
Question 1
Refer to the weighted voting system and the Banzhaf definition of power. (The four players are P1, P2, P3, and P4.)The number of winning coalitions is
◦ 7.
◦ 15.
◦ 8.
◦ 24.
◦ none of these
Question 2
Refer to the weighted voting system and the Banzhaf definition of power. (The four players are P1, P2, P3, and P4.)Which players in the coalition {P1, P3} are critical?
◦ P1 only
◦ None of the players
◦ P1 and P3
◦ P3 only
◦ none of these
Post by: parshano on May 5, 2020
Answer 1
7.Answer 2
P1 and P3Post by: Mimi on May 5, 2020
and the Banzhaf definition of power. (The four players are P1, P2, P3, and P4.)Which players in the coalition {P1, P3, P4} are critical?
◦ P1 and P3 only
◦ All three players
◦ None of the players
◦ P1 only
◦ none of these
Post by: patma1981 on May 5, 2020
Post by: tiffannnnyyyyyy on May 5, 2020
and the Banzhaf definition of power. (The four players are P1, P2, P3, and P4.)The Banzhaf power distribution of the weighted voting system is
◦ P1: 40%; P2: 20%; P3: 20%; P4: 20%.
◦ P1: 70%; P2: 10%; P3: 10%; P4: 10%.
◦ P1: 60%; P2: 20%; P3: 10%; P4: 10%.
◦ P1: 75%; P2: 8
%; P3: 8%; P4: 8%.◦ none of these
Post by: jamesnevil303 on May 5, 2020
Post by: ec501234 on May 5, 2020
Question 1
Refer to the weighted voting system
and the Banzhaf definition of power. (The four players are P1, P2, P3, and P4.)The weight of the coalition {P2, P3, P4} is
◦ 40.
◦ 21.
◦ 22.
◦ 25.
◦ none of these
Question 2
Refer to the weighted voting system and the Banzhaf definition of power. (The four players are P1, P2, P3, and P4.)The winning coalitions are
◦ all coalitions with two or more players, one of which is P1.
◦ all coalitions with three or more players.
◦ all coalitions with two or more players.
◦ all coalitions.
◦ none of these
Post by: meow1234 on May 5, 2020
Answer 1
21.Answer 2
all coalitions with two or more players, one of which is P1.Post by: rl on May 5, 2020
Question 1
Refer to the weighted voting system and the Banzhaf definition of power. (The four players are P1, P2, P3, and P4.)The number of winning coalitions is
◦ 8.
◦ 15.
◦ 7.
◦ 1.
◦ none of these
Question 2
Refer to the weighted voting system and the Banzhaf definition of power. (The four players are P1, P2, P3, and P4.)Which players in the coalition {P1, P2} are critical?
◦ P1 and P2
◦ None of the players
◦ P1 only
◦ P2 only
◦ none of these
Post by: djofnc on May 5, 2020
Answer 1
7.Answer 2
P1 and P2Post by: roselinechinyere27m on May 5, 2020
and the Banzhaf definition of power. (The four players are P1, P2, P3, and P4.)Which players in the coalition {P1, P3, P4} are critical?
◦ P1 and P3 only
◦ All three players
◦ None of the players
◦ P1 only
◦ none of these
Post by: bigsis44 on May 5, 2020
Post by: karlynnae on May 5, 2020
and the Banzhaf definition of power. (The four players are P1, P2, P3, and P4.)The Banzhaf power distribution of the weighted voting system is
◦ P1: 70%; P2: 10%; P3: 10%; P4: 10%.
◦ P1: 60%; P2: 20%; P3: 10%; P4: 10%.
◦ P1: 25%; P2: 25%; P3: 25%; P4: 25%.
◦ P1: 40%; P2: 20%; P3: 20%; P4: 20%.
◦ none of these
Post by: b614102004 on May 5, 2020
Post by: melly21297 on May 5, 2020
Question 1
Refer to the weighted voting system
and the Banzhaf definition of power. (The four players are P1, P2, P3, and P4.)What is the weight of the coalition {P2, P3, P4}?
◦ 13
◦ 12
◦ 8
◦ 14
◦ none of these
Question 2
Refer to the weighted voting system and the Banzhaf definition of power. (The four players are P1, P2, P3, and P4.)Which players in the coalition {P1, P2, P3, P4} are critical?
◦ P1 only
◦ All four players
◦ P1 and P2
◦ None of the players
◦ none of these
Post by: bobsmith on May 5, 2020
Answer 1
13Answer 2
P1 and P2Post by: pragya sharda on May 5, 2020
Question 1
Refer to the weighted voting system and the Banzhaf definition of power. (The four players are P1, P2, P3, and P4.)What is the total number of winning coalitions?
◦ 5
◦ 1
◦ 15
◦ 3
◦ none of these
Question 2
Refer to the weighted voting system and the Banzhaf definition of power. (The four players are P1, P2, P3, and P4.)The Banzhaf power distribution of the weighted voting system is
◦ P1: 40%; P2: 30%; P3: 20%; P4: 10%.
◦ P1: 40%; P2: 40%; P3: 10%; P4: 10%.
◦ P1: 25%; P2: 25%; P3: 25%; P4: 25%.
◦ P1: 37.5%; P2: 37.5%; P3: 12.5%; P4: 12.5%.
◦ none of these
Post by: jomama on May 5, 2020
Answer 1
3Answer 2
P1: 37.5%; P2: 37.5%; P3: 12.5%; P4: 12.5%.Post by: savannahhooper on May 5, 2020
Question 1
Refer to the weighted voting system
and the Banzhaf definition of power. (The four players are P1, P2, P3, and P4.)What is the weight of the coalition {P2, P3, P4}?
◦ 6
◦ 12
◦ 10
◦ 9
◦ none of these
Question 2
Refer to the weighted voting system and the Banzhaf definition of power. (The four players are P1, P2, P3, and P4.)Which players in the coalition {P1, P2, P3, P4} are critical?
◦ P1 and P2
◦ P1 only
◦ None of the players
◦ All four players
◦ none of these
Post by: Ksh22 on May 5, 2020
Answer 1
9Answer 2
P1 and P2Post by: JGIBBSON on May 5, 2020
Question 1
Refer to the weighted voting system and the Banzhaf definition of power. (The four players are P1, P2, P3, and P4.)What is the total number of winning coalitions?
◦ 5
◦ 15
◦ 1
◦ 3
◦ none of these
Question 2
Refer to the weighted voting system and the Banzhaf definition of power. (The four players are P1, P2, P3, and P4.)The Banzhaf power distribution of the weighted voting system is
◦ P1: 40%; P2: 30%; P3: 20%; P4: 10%.
◦ P1: 37.5%; P2: 37.5%; P3: 12.5%; P4: 12.5%.
◦ P1: 40%; P2: 40%; P3: 10%; P4: 10%.
◦ P1: 25%; P2: 25%; P3: 25%; P4: 25%.
◦ none of these
Post by: diana chang on May 5, 2020
Answer 1
3Answer 2
P1: 37.5%; P2: 37.5%; P3: 12.5%; P4: 12.5%.Post by: jc611 on May 5, 2020
Question 1
Refer to the weighted voting system
and the Banzhaf definition of power. (The four players are P1, P2, P3 and P4.)The number of winning coalitions is
◦ 5.
◦ 15.
◦ 3.
◦ 4.
◦ none of these
Question 2
Refer to the weighted voting system and the Banzhaf definition of power. (The four players are P1, P2, P3 and P4.)The Banzhaf power distribution of the weighted voting system is
◦ P1: 40%; P2: 20%; P3: 20%; P4: 20%.
◦ P1: 25%; P2: 25%; P3: 25%; P4: 25%.
◦ P1: 60%; P2: 20%; P3: 10%; P4: 10%.
◦ P1: 50%; P2: 30%; P3: 10%; P4: 10%.
◦ none of these
Post by: bhavsar on May 5, 2020
Answer 1
4.Answer 2
P1: 40%; P2: 20%; P3: 20%; P4: 20%.Post by: Jramos095 on May 5, 2020
Question 1
Refer to the weighted voting system
and the Banzhaf definition of power. (The four players are P1, P2, P3 and P4.)The weight of the coalition {P1, P3, P4} is
◦ 25.
◦ 41.
◦ 32.
◦ 43.
◦ none of these
Question 2
Refer to the weighted voting system and the Banzhaf definition of power. (The four players are P1, P2, P3 and P4.)Which players are critical in the coalition {P1, P3, P4}?
◦ P1 only
◦ All three players
◦ None of the players
◦ P1 and P3 only
◦ none of these
Post by: lkanara2 on May 5, 2020
Answer 1
32.Answer 2
P1 and P3 onlyPost by: DelorasTo on May 5, 2020
and the Banzhaf definition of power. (The four players are P1, P2, P3 and P4.)Which players are critical in the coalition {P1, P2, P3, P4}?
◦ All of the players
◦ P1, P2, and P3 only
◦ P1 and P2 only
◦ P1 only
◦ None of the players
Post by: LegendaryAnswers on May 5, 2020
Post by: Diane on May 5, 2020
and the Banzhaf definition of power. (The four players are P1, P2, P3 and P4.)In this weighted voting system, which players have veto power?
◦ All of the players
◦ P1 only
◦ P1, P2, and P3 only
◦ P1 and P2 only
◦ None of the players
Post by: miss.ashley on May 5, 2020
Post by: Mr. Wonderful on May 5, 2020
and the Banzhaf definition of power. (The four players are P1, P2, P3 and P4.)The winning coalitions are:
◦ all coalitions with P1 in it.
◦ {P1, P2}, {P1, P3}, and all coalitions with three or more players.
◦ all coalitions with two or more players.
◦ all coalitions with three or more players.
◦ none of these
Post by: makaylafy on May 5, 2020
Post by: newbem on May 5, 2020
Question 1
Refer to the weighted voting system and the Banzhaf definition of power. (The four players are P1, P2, P3 and P4.)The number of winning coalitions is
◦ 7.
◦ 5.
◦ 15.
◦ 8.
◦ none of these
Question 2
Refer to the weighted voting system and the Banzhaf definition of power. (The four players are P1, P2, P3 and P4.)The Banzhaf power distribution of the weighted voting system is
◦ P1:
; P2: 
; P3: ; P4: 
.◦ P1:
; P2: 
; P3: ; P4: 
.◦ P1:
; P2: ; P3: ; P4: 
.◦ P1:
; P2: ; P3: ; P4: .◦ none of these
Post by: mbcrismon on May 5, 2020
Answer 1
7.Answer 2
P1:; P2: ; P3: ; P4: .
Post by: neverstopbelieb on May 5, 2020
and the Banzhaf definition of power. (The four players are P1, P2, P3 and P4.)Which players are critical in the coalition {P1, P3, P4}?
◦ P1 only
◦ P1 and P3 only
◦ None of the players
◦ All three players
◦ none of these
Post by: frre432 on May 5, 2020
Post by: jman1234 on May 5, 2020
and the Banzhaf definition of power. (The four players are P1, P2, P3 and P4.)Which players are critical in the coalition {P1, P2, P3, P4}?
◦ P1 and P2 only
◦ P1 only
◦ P1, P2 and P3 only
◦ All of the players
◦ None of the players
Post by: lorealeza77 on May 5, 2020
Post by: nramada on May 5, 2020
and the Banzhaf definition of power. (The four players are P1, P2, P3 and P4.)In this weighted voting system, which players have veto power?
◦ P1, P2 and P3 only
◦ P1 only
◦ P1 and P2 only
◦ All of the players
◦ None of the players
Post by: ktidd on May 5, 2020
Post by: newbem on May 5, 2020
and the Banzhaf definition of power. (The four players are P1, P2, P3 and P4.)The winning coalitions are
◦ only the grand coalition.
◦ all coalitions with two or more players except for {P3, P4}.
◦ all coalitions with three or more players.
◦ all coalitions with three or more players except for {P2, P3, P4}.
◦ none of these
Post by: guyanai on May 5, 2020
Post by: Marty on May 5, 2020
Question 1
Refer to the weighted voting system and the Banzhaf definition of power. (The four players are P1, P2, P3 and P4.)The number of losing coalitions is
◦ 14.
◦ 11.
◦ 1.
◦ 4.
◦ none of these
Question 2
Refer to the weighted voting system and the Banzhaf definition of power. (The four players are P1, P2, P3 and P4.)The Banzhaf power distribution of the weighted voting system is
◦ P1:
; P2: 
; P3: ; P4: .◦ P1:
; P2: ; P3: ; P4: .◦ P1:
; P2: ; P3: ; P4: .◦ P1:
; P2: ; P3: ; P4: .◦ none of these
Post by: dpost18 on May 5, 2020
Answer 1
11.Answer 2
P1:; P2: ; P3: ; P4: .
Post by: TVarnum on May 5, 2020
Question 1
The Banzhaf power index of player P4 in the weighted voting system
is◦
◦
◦ 0
◦
◦ none of these
Question 2
Refer to the weighted voting system
and the Banzhaf definition of power. (The five players will be called P1, P2, P3, P4, and P5.)The number of coalitions is
◦ 63.
◦ 120.
◦ 15.
◦ 31.
◦ none of these
Post by: amit on May 5, 2020
Answer 1
Answer 2
31.Post by: @Brianna17 on May 5, 2020
Question 1
Refer to the weighted voting system and the Banzhaf definition of power. (The five players will be called P1, P2, P3, P4, and P5.)The number of coalitions having exactly two players is
◦ 5
◦ 1
◦ 10
◦ 20
◦ none of these
Question 2
Refer to the weighted voting system and the Banzhaf definition of power. (The five players will be called P1, P2, P3, P4, and P5.)The number of coalitions having exactly three players is
◦ 20
◦ 5
◦ 10
◦ 1
◦ none of these
Post by: Qarqy on May 5, 2020
Answer 1
10Answer 2
10Post by: SAVANNAHHOOPER23 on May 5, 2020
Question 1
Refer to the weighted voting system and the Banzhaf definition of power. (The five players will be called P1, P2, P3, P4, and P5.)The number of winning coalitions having exactly three players is
◦ 10
◦ 5
◦ 1
◦ 2
◦ none of these
Question 2
Refer to the weighted voting system and the Banzhaf definition of power. (The five players will be called P1, P2, P3, P4, and P5.)The number of coalitions having exactly four players is
◦ 1
◦ 5
◦ 20
◦ 10
◦ none of these
Post by: LVPMS on May 5, 2020
Answer 1
2Answer 2
5Post by: Sufayan.ah on May 5, 2020
Question 1
Refer to the weighted voting system and the Banzhaf definition of power. (The five players will be called P1, P2, P3, P4, and P5.)The number of winning coalitions having exactly four players is
◦ 3
◦ 4
◦ 2
◦ 1
◦ none of these
Question 2
Refer to the weighted voting system and the Banzhaf definition of power. (The five players will be called P1, P2, P3, P4, and P5.)In this weighted voting system,
◦ P3 has three times as much power as P4.
◦ P3 has twice as much power as P4.
◦ P3 and P4 have the same power.
◦ P3 has four times as much power as P5.
◦ none of these
Post by: juliaf on May 5, 2020
Answer 1
4Answer 2
P3 and P4 have the same power.Post by: SO00 on May 5, 2020
and the Banzhaf definition of power. (The five players will be called P1, P2, P3, P4, and P5.)In this weighted voting system, giving any individual player one more vote has the effect of
◦ giving that player 1/19 more power.
◦ giving that player 1/31 more power.
◦ giving that player no more power.
◦ giving that player 1/5 more power.
◦ none of these
Post by: BUTTHOL369 on May 5, 2020
Post by: shenderson6 on May 5, 2020
Question 1
Refer to the weighted voting system
and the Banzhaf definition of power. (The five players will be called P1, P2, P3, P4, and P5.)The number of coalitions is
◦ 31.
◦ 120.
◦ 15.
◦ 63.
◦ none of these
Question 2
Refer to the weighted voting system and the Banzhaf definition of power. (The five players will be called P1, P2, P3, P4, and P5.)The number of winning coalitions is
◦ 10.
◦ 5.
◦ 15.
◦ 3.
◦ none of these
Post by: juiceman1987 on May 5, 2020
Answer 1
31.Answer 2
5.