Consider the weighted voting system (17: 15, 8, 4, 3). (a) Fill in the table below. If a coalition does not win, use O for the number of critical players. Coalition (P1, P2, P3, P4} Weight Number of Critical Players (P1, P2, P3} (P1, P2, P4} {P1, P3, P4} {P2, P3, P4} (P1, P2) (P1, P3} {P1, P4} (P2, P3) {P2, P4} {P3, P4} (b) Find the Banzhaf score (critical count) for each player: P1: P2: P3: ☐ P4: (c) Find the Banzhaf index for each player (please enter your answer as a fraction): P1: P2: P3: P4:
Consider the weighted voting system (17: 15, 8, 4, 3). (a) Fill in the table below. If a coalition does not win, use O for the number of critical players. Coalition (P1, P2, P3, P4} Weight Number of Critical Players (P1, P2, P3} (P1, P2, P4} {P1, P3, P4} {P2, P3, P4} (P1, P2) (P1, P3} {P1, P4} (P2, P3) {P2, P4} {P3, P4} (b) Find the Banzhaf score (critical count) for each player: P1: P2: P3: ☐ P4: (c) Find the Banzhaf index for each player (please enter your answer as a fraction): P1: P2: P3: P4:
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![Consider the weighted voting system (17: 15, 8, 4, 3}.
(a) Fill in the table below. If a coalition does not win, use O for the number of critical players.
Coalition
(P1, P2, P3, P4}
Weight Number of Critical Players
{P1, P2, P3}
{P1, P2, P4}
{P1, P3, P4}
{P2, P3, P4}
(P1, P2)
(P1, P3)
(P1, P4}
{P2, P3)
{P2, P4}
(P3, P4}
(b) Find the Banzhaf score (critical count) for each player:
P1: P2:
P3:
P4:
(c) Find the Banzhaf index for each player (please enter your answer as a fraction):
P1: P2: P3: P4:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdc386798-0c13-4685-aedf-e460989742cd%2F3bff97ff-fe38-4db8-8d42-d0dd43138715%2Fti3xqg_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the weighted voting system (17: 15, 8, 4, 3}.
(a) Fill in the table below. If a coalition does not win, use O for the number of critical players.
Coalition
(P1, P2, P3, P4}
Weight Number of Critical Players
{P1, P2, P3}
{P1, P2, P4}
{P1, P3, P4}
{P2, P3, P4}
(P1, P2)
(P1, P3)
(P1, P4}
{P2, P3)
{P2, P4}
(P3, P4}
(b) Find the Banzhaf score (critical count) for each player:
P1: P2:
P3:
P4:
(c) Find the Banzhaf index for each player (please enter your answer as a fraction):
P1: P2: P3: P4:
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