Refer to the weighted voting system and the Banzhaf definition of ...

[jman1234]

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, P₂, P₃, P₄}?
◦ P₁ and P₂ only
◦ P₁ only
◦ P₁, P₂ and P₃ only
◦ All of the players
◦ None of the players

[lorealeza77]

P₁ only

[nramada]

Refer to the weighted voting system 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

[ktidd]

P₁ only

[newbem]

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
◦ 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

[guyanai]

all coalitions with three or more players except for {P₂, P₃, P₄}.

[Marty]

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

[dpost18]

Answer 1

11.

Answer 2

P₁: ; P₂: ; P₃: ; P₄: .

[TVarnum]

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

[amit]

Answer 1

Answer 2

31.