13. A law firm is run by four partners (A, B, C, and D). Each partner has one vote, and decisions are made by a majority rule, but in the case of a 2-2 tie the coalition with a senior partner wins. a) List all of the winning coalitions in this voting system and critical players in each. Indicate all losing coalitions by typing Lose into the answer space. For the remaining winning coalitions, type in the critical player(s) in each coalition in ascending order, separated by commas but no spaces (ex. P5,P6). If there are no critical players, type n/a. (A} KA, B} КА, В, С} КА, В, С, D} {B} KA. C} {A, B, D} (C} KA, D} (A, C,D} {D} {B, C} (В, С, D} (B,D} {C,D} b) Find the Banzhaf power index of this law firm. Type your answers as percentages rounded to two decimal places, no percentage sign (ex. 50.00). B1
13. A law firm is run by four partners (A, B, C, and D). Each partner has one vote, and decisions are made by a majority rule, but in the case of a 2-2 tie the coalition with a senior partner wins. a) List all of the winning coalitions in this voting system and critical players in each. Indicate all losing coalitions by typing Lose into the answer space. For the remaining winning coalitions, type in the critical player(s) in each coalition in ascending order, separated by commas but no spaces (ex. P5,P6). If there are no critical players, type n/a. (A} KA, B} КА, В, С} КА, В, С, D} {B} KA. C} {A, B, D} (C} KA, D} (A, C,D} {D} {B, C} (В, С, D} (B,D} {C,D} b) Find the Banzhaf power index of this law firm. Type your answers as percentages rounded to two decimal places, no percentage sign (ex. 50.00). B1
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:13. A law firm is run by four partners (A, B, C, and D). Each partner has one vote, and decisions are made by a majority rule, but in the case of a 2-2 tie the coalition
with a senior partner wins.
a) List all of the winning coalitions in this voting system and critical players in each. Indicate all losing coalitions by typing Lose into the answer space. For the
remaining winning coalitions, type in the critical player(s) in each coalition in ascending order, separated by commas but no spaces (ex. P5,P6). If there are no critical
players, type n/a.
{A}
КА, В}
КА, В, С}
КА, В, С, D}
{B}
{A. C}
КА, В, D}
(C}
КА, D}
КА, С, D}
{D}
{B, C}
(В, С, D}
{B,D}
{C,D}
b) Find the Banzhaf power index of this law firm. Type your answers as percentages rounded to two decimal places, no percentage sign (ex. 50.00).
B1
B 2
В з
B4
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