Question
In: Advanced Math
Consider the weighted voting system [15: 12, 9, 5, 2]. (a) Which players are critical in...
Consider the weighted voting system
[15: 12, 9, 5, 2].
|
(a) |
Which players are critical in the coalition
{P1, P2, P3}? |
|
(b) |
Write down all winning coalitions. |
|
(c) |
Find the Banzhaf power distribution of this weighted voting system |
Solutions
Colby Messinger answered 2 years agoRelated Solutions
Consider a weighted voting system with nine players (P1-P9). a) Find the number of sequential coalitions...
Consider a weighted voting system with nine players (P1-P9).
a) Find the number of sequential coalitions in this weighted
voting system.
b) How many sequential coalitions in this weighted voting system
have P7 as the last player?
c) How many sequential coalitions in this weighted voting system
have P6 as the third player?
d) How many sequential coalitions in this weighted voting system
do NOT have P1 as the first player?
Accessibility + On-Screen Keyboard + About + Consider the weighted voting system [q:12, 6, 2, 1]....
Accessibility
+
On-Screen Keyboard
+
About
+
Consider the weighted voting system [q:12, 6, 2, 1].
Find the Banzhaf power distribution of this weighted voting
system when
(a)q=12
(b)q=13
(c)q=18
(d)q=21.
(a)
Find
the Banzhaf power distribution when q=12.
β1=
β2=
β3=
β4=
(Type integers or simplified fractions.)
(b)
Find
the Banzhaf power distribution when q=13.
β1=
β2=
β3=
β4=
(Type integers or simplified fractions.)
(c)
Find
the Banzhaf power distribution when q=18.
β1=
β2=
β3=
β4=
(Type integers or...
17. Consider the weighted voting system [36: 20, 18, 16, 2] a) Find the Banzhaf power distribution...
17. Consider the weighted voting system [36: 20, 18,
16, 2]
a) Find the Banzhaf power distribution of this system.
P1 P2 P3 P4 P1 P2 P3 P1 P2
P1 P2
P4 P1 P3
P1 P3 P4
P2 P3 P4
P1: P2: P3: P4:
b) Name the dictator in this system, if there is
one. If not, write "none".
c) Name the players with veto power in this
system. If there are none, write "none".
d) Name the dummies in this system. If there are
none, write "none".
Consider the following differential equations: ?3?/??3 + 9 ?2?/??2 + 20 ??/?? + 12? = 15...
Consider the following differential equations:
?3?/??3 + 9 ?2?/??2
+ 20 ??/?? + 12? = 15
?(0) = ?̇(0) = ?̈(0) = 0
a) Find the solutions to the equation using Laplace
transform.
b) Use the Final Value Theorem to determine ?(?) as ?→∞
from?(?).
Note: Dots denote differentiation with respect to time.
Table: x: 6, 2, 15, 9, 12, 5, 8 y: 8, 9, 4, 7, 6, 9,...
Table:
x: 6, 2, 15, 9, 12, 5, 8
y: 8, 9, 4, 7, 6, 9, 8
1) Make the scatter diagram.
2) Find the equation of the regression line using the formulas
given in class. They must appear the intermediate steps of
substitutions. Round the answers to three decimal places.
3) Find the correlation coefficient using the formulas given in
class. Steps should appear intermediates of substitutions. Round
the answer to three decimal places.
4) Find the value predicted...
Consider an income weighted voting system. Each individuali with income yi has yi votes.
Consider an income weighted voting system. Each individuali with income yi has yi votes. There
are n voters (with n odd). Is it possible for a
Condorcet Loser to win an election under wealth-weighted voting? If
it is possible, provide an example. If it is not possible, then
provide a formal argument (proof). Can you think of a polity in
which wealth-weighted voting (or something very close to it) is
used?
Consider the following code: values = [2, 5, 8, 12, 15] values2 = {v % 3...
Consider the following code:
values = [2, 5, 8, 12, 15]
values2 = {v % 3 for v in values}
What will be the length of values2?
Consider the following code:
values = ["moose", "giraffe", "antelope", "tortoise", "chinchilla"]
values2 = [len(s) for s in values if "a" in s]
What will be the value of values2[1]?
Consider the following code:
numbers = [1, 2, 7, 9, 13]
numbers2 = [n // 2 for n in numbers]
What will be the...
4. [22 pts] For the function ?(?) = 2?5 − 9?4 + 12?3 − 12?2 +...
4. [22 pts] For the function ?(?) = 2?5 − 9?4 + 12?3 − 12?2 +
10? − 3 answer the following:
a. [2 pts] Determine whether the function represents a
polynomial. Justify your answer.
b. [4 pts] Determine whether the function satisfies the
Intermediate Value Theorem on the interval [0, 5]. Justify your
answer.
c. [2 pts] Determine the number (quantity) of complex zeros that
the function has, provided the each zero is counted by its
multiplicity.
d. [4...
number of absences 6 2 15 9 12 5 8 final grade 82 86 43 74...
number of absences
6
2
15
9
12
5
8
final grade
82
86
43
74
58
90
65
The data below were obtained in a study on the number of
absences and the final grades (in percentages) of seven randomly
selected students in a statistics class. Number of absences 6 2 15
9 12 5 8 Final grade 82 86 43 74 58 90 65 (2 4 6 8 10 12 14
5 0 6 0 7 0 8...
Find the Banzhaf power distribution of the following weighted voting system: [q : 15,13,8,6] a. If...
Find the Banzhaf power distribution of the following weighted
voting system:
[q : 15,13,8,6]
a. If q=27
b. If q=22
c. If q=32
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