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
Accessibility + On-Screen Keyboard + About + Consider the weighted voting system [q:12, 6, 2, 1]....
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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?
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
Is the weighted voting system in the IMF, World Bank, and UN General Assembly the best...
Is the weighted voting system in the IMF, World Bank, and UN
General Assembly the best way the maximize worldwide
prosperity?
5.) For the data set 2 4 4 5 7 8 9 10 12 12 13...
5.) For the data set
2
4
4
5
7
8
9
10
12
12
13
13
16
16
16
16
17
19
19
20
23
24
24
24
25
26
26
27
28
28
29
31
32
34
34
36
37
38
42
44
45
46
47
47
48
50
52
53
53
54
55
56
56
57
58
(a) Find the 80th percentile.
The 80t percentile is =
(a) Find the 42nd percentile.
The 42nd percentile is...
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