Consider the problem of utility over territory. Let’s start simply

with a one-dimensional representation. Consider two actors, 1

and 2, with utility functions defined over a single-dimensional

issue space X = [0, 1], but where the actors can own sections or

“provinces” of the interval. The boundaries between sections are

defined by a vector B = (b1, b2, b3, . . . , bn, 1).

Thus, there are n+ 1 provinces. Define a “size” vector containing the lengths of

each province, S = (b1, b2 − b1, b3 − b2, . . . , 1 − bn). Define for

each actor an “ownership” vector Oi with 1s in the place of the

provinces that it owns and 0s elsewhere.

1. Assume that each actor’s utility function is a simple sum of

how much of the space they own so ui=∑n+1,j=1, oj,sj

(a) Can the players both be made better off by exchanging

existing provinces?

(b) Can the players both be made better off by altering the

boundaries of the existing provinces while preserving the

ownership structure?

(c) Can the players both be made better off by reducing the

number of provinces – for instance, by consolidating

contiguous provinces that are owned by the same actor?

2. Now assume that the utility function is a function of the sum

of the squares of the provinces owned, indicating that there are

increasing returns to the size of a province ui=∑n+1,j=1, (oj,sj)^2

(a) Can the players both be made better off by exchanging

existing provinces (without doing anything else)?

(b) Can the players both be made better off by reducing the

number of provinces – for instance, by consolidating

contiguous provinces that are owned by the same actor?

(c) If the actors are free to adjust both the number of

provinces and the ownership structure, what set of

boundaries is Pareto optimal with this utility function?

2.2 (see formula in the attachments) Consider two states, state 1 and state 2, which can unilaterally

set their tariff rates on imported goods, ti ≥ 0. Each state has an

ideal level for its own tariff, and prefers that the other

side’s tariff be 0, Assume that each side’s utility declines

with the distance between the tariff levels and their ideal point,

as follows

1. Draw the t1, t2 quadrant and draw in the ideal points for each

player.

2. Draw in sample indifference curves for the two states around

their ideal points. What shape are they?

3. Draw in the contract curve between the two ideal points. What

shape is it and why? What equation describes it?

4. The contract curve divides the t1, t2 quadrant into two regions.

How do they differ in terms of how the players could realize

joint gains in each region?

2.3 Consider the utility function u(x) = xρ, where ρ > 0 and x ∈ [0,

1]. Under what conditions would a player with such preferences

be risk acceptant, risk neutral, and risk averse?

Consider The Problem Of Utility Over Territory. Lets Start Simplywith A One-dimensional Representation.
Consider The Problem Of Utility Over Territory. Lets Start Simplywith A One-dimensional Representation.
Consider The Problem Of Utility Over Territory. Lets Start Simplywith A One-dimensional Representation.

Answers

Answer 1
dangggggggggggggggggg

Related Questions

Last year, 140 people in a community had cell phones. This year, the number
of people in the community with cell phones has increased by 65%.
A. Wat is the percent of increase?
65%
B. What is the change in the number of people with cell phones?
C. How many people in the community have cell phones this year?

Answers

Answer:

Part B: 91 people

Step-by-step explanation:

Sorry i cant add a explanation, because im still learning about it.

Write −0.48 as a fraction in simplest form.

−0.48=
I would also like an explanation too please! please answer ASAP

Answers

Answer:

Answer:

-12/25

Step-by-step explanation: We already know that -48/100=-0.48, so we can just write -48/100 in simplest form which is -0.48. So, your answer is -0.48

Step-by-step explanation:

Taxi A charges $3.00 plus $0.30 for every
mile.
Taxi B charges $3.25 plus $0.20 for every mile.
How much money, in dollars, does Kelly save by using Taxi B instead of Taxi A?

Answers

Paper barbie I don’t wanna go with the flow

What is the result of solving this equation for x?

y−b=m(x−a)

Answers

Answer:
x=(y-b)/m

Explanation:
y-b=m(x-a)
Divide both sides by m
(y-b)/m=x-a
Add a to both sides
(y-b)/m+a=x
x=(y-b)/m

I hope this helps! Please comment if you have any questions.

What is the value of f-1(4)

Answers

Answer:

x=4 hope that helps I did it on my calculator story if it is wrong

Determine whether AB and MN are parallel, perpendicular, or neither.
Graph each line to verify your answer: A(-1,4), B(2.-5), M(-3,2). N(3, 0)

Answers

Answer:

Neither

Step-by-step explanation:

They need a 90°angle to be perpendicular.

And it has to not be touching to be parallel.

Please help if possible thank you♥️

Answers

Answer:

B.

Step-by-step explanation:

16 * 4 = 64

The square root of 64 is 8, the square root of 16 is 4, and the square root of 4 is 2

4 * 2 = 8

Please mark Brainliest thank you!!

Which of the following situations can be modeled by the expression -8 + 35?

While Shawn was sleeping, the temperature decreased by 8°F. If the temperature was 35°F when Shawn went to bed, what was the temperature when Shawn woke up?

When Shawn woke up, the temperature was -8°F. By noon, the temperature had increased by 35°F. What was the temperature at noon?

None of the above.

When Shawn woke up, the temperature was -8°F. By noon, the temperature had increased to 35°F. By how much did the temperature change?

Answers

Answer:

The second one

Click to review the online content. Then answer the question(s) below, using complete sentences. Scroll down to view additional questions.
Online Content: Site 1

In a scatterplot what does the term outlier mean?

Answers

Answer:

An outlier is defined as a data point that emanates from a different model than do the rest of the data. ... If the outlier is omitted from the fitting process, then the resulting fit will be excellent almost everywhere (for all points except the outlying point).

An outlier for a scatter plot is the point or points that are farthest from the regression line. ... If a number of points are the same farthest distance from the regression line, then all these points are outliers. If all points of the scatter plot are the same distance from the regression line, then there is no outlier.

Step-by-step explanation:

Answer:

An outlier is defined as a data point that emanates from a different model than do the rest of the data. ... If the outlier is omitted from the fitting process, then the resulting fit will be excellent almost everywhere (for all points except the outlying point).

Step-by-step explanation:

Just copy the first part of the person above me or this one its the same but I put the first graph on and go it right. ;)

What is the midpoint between n(- 4, 4) and (- 2, 2)

Answers

(-3,3) is the midpoint between the two

How are the key features of a linear function identified and interpreted from a description?
Help I’m dying with math lol

Answers

Answer:

Key features of a linear function from a table are the ordered pairs which are points on a line.In the equation,the slope of the function which is the rate of change and the y-intercept value are indicated.

Step-by-step explanation:

D=(x2+x1)+(y2-y1) this is the formula I need number 19 Please will mark brainliest and 50 points

Answers

Answer:

[tex]2\sqrt{2}[/tex] or [tex]\sqrt{8}\\[/tex]

Step-by-step explanation:

The formula is actually d= [tex]\sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2}}[/tex]. Now first, we have to find points A and C.

Point A is (1,2) and Point C is (-1,0).

Now we have to substitute the values in. That would make it d =[tex]\sqrt{(-1-1)^{2} + (0-2)^{2}}[/tex].

To simplify the parentheses, it would get to d= [tex]\sqrt{(-2)^{2}+(-2)^{2} }[/tex].

To simplify the exponents, it would get to d = [tex]\sqrt{4+4}[/tex].

To simplify the square root, it would get to d = [tex]\sqrt{8}[/tex].

So the answer is either [tex]2\sqrt{2}[/tex] or [tex]\sqrt{8}\\[/tex].

Hope this helped! If not, please let me know!

Which equation does not represent a function? Why? A) y = x2; There are two outputs for each input. B) y2 = 4x; There are two outputs for each input. C) y = x; The output value is the same as the input value. D) y = −x; The output value is the opposite of the input value.

Answers

Answer:

B) y² = 4x; There are two outputs for each input

Step-by-step explanation:

For an equation to be called a function, the input values for x must only result in a single output for y.

Based on this definition if a function, the functions y = x², y = -x and y = x are all functions because for any value of x imputed in them, we can only get one equivalent value of y.

The only exception is the function y²= 4x

For this function, for any value of x, there will be more than one output for y. Take x = 1 for example

y² = 4(1)

y² = 4

y = ±√4

y = ±2

This shows that y = 2 and -2

Also if x = 4

y² = 4(4)

y² = 16

y = ±√16

y = ±4

y = 4 and -4

No matter the value of x imputed, the output value y will always be two (a positive and a negative value)

Hence, option B is correct.

Answer:

B

Step-by-step explanation:

“without using technology describe the end behavior of f(x) equals negative 3X to the 4th+ 7X squared -12 X +13” PLEASE HELP!!!!

Answers

the end behavior is as x reaches infinity, f(x) reaches infinity and as x reaches negative infinity, f(x) reaches infinity.

In City A, the temperature rises 7 degrees F from 8AM to 9AM. Then the temperature drops 6 degrees F from 9AM to 10AM. In City B, the temperature drops 2 degrees F from 8AM to 9AM. Then the temperature drop 4 degrees F from 9AM to 10AM. Write an expression that represents the change in temperature from 8AM to 10AM for each city. Simplify and interpret each sum.

Answers

Answer:

is there like a image of this eqation?

Step-by-step explanation:

Question 4
2 pts
If a = -3, b = 2 and c = -4 find the value of the expression.
a2 +b²

Answers

Answer:

-2

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Define

a2 + b²

a = -3

b = 2

c = -4

Step 2: Substitute and Evaluate

2(-3) + 2²

-6 + 4

-2

Answer:

1

Step-by-step explanation:

Question 2
Identity the numbers that make the statement below tree
58=-= a postave number
A
B
6.3
c
500
D
5.9
E
-7.3
F
8.2
PLEASE HELP TIMED TEST!!!!!

Answers

Step-by-step explanation:

I am a math genis but the is hard

7 -14m = 2m - 5 multi step variables on both sides

Answers

7 - 14m = 2m - 5

  +14m   +14m        (add 14 on both sides)

_____________

7 = 16m - 5

+5         + 5            (add 5 on both sides)

_____________

12 =  16m

__    ___             (divide 16 on both sides)

16      16

m = 0.75

Answer:

m = 3/4

Step-by-step explanation:

7 - 14m = 2m - 5 (given)

7 + 5 - 14m = 2m - 5 + 5 (addition poe)

*add 5 to both sides to cancel -5 out*

12 - 14m = 2m

12 - 14m + 14m = 2m + 14m (addition poe)

*add 14m to both sides to cancel -14m* out*

12 = 16m

12/16 = 16m/16 (division poe)

*divide by 16 on both sides to cancel out the coefficient*

12/16 = m

m = 12/16 (symmetric property)

*mirror to the other side*

m = 12÷4/16÷4 (division poe)

*divide the numerator and denominator by its greatest common factor*

m = 3/4

Which equation can be used to find T the number of tickets each class needs to sell so that the total amount raised is the same for both classes

Answers

Answer:

C.

Step-by-step explanation:

If you know how much each class is selling tickets for and how much they've already raised then you take those two values and set them equal to each other.

2.5t + 350 = 3t + 225

To actually find the number of tickets each class would have to sell you would just solve for t.

Find f'(a)/ f(x)=[tex]\sqrt{2-2x}[/tex]

Answers

Answer:

f = √2-2x

Step-by-step explanation:

vshsgshbeeyvecv

Step-by-step explanation:

Hoping I didnt take it wrong from the question!

8 out of every 20 spectators were girls. There were a total of 1560 spectators at the game. How many of the spectators were girls

Answers

Answer: I think the answer is 624 girls im sorry if its wrong if it is can you please correct me

Step-by-step explanation:

the answer is 624 girls.

which line has a constant of proportionality between y and x of 5

Answers

Answer:

tp

Step-by-step explanation:

The constant of proportionality between y and x of 5 for line A.

What is the slope of straight line?

The slope of a straight line is the tangent of the angle formed by it with the positive x axis as the reference.

The negative slope indicates the rate of decrease while the positive shows the rate of increase.

The lines in the graph are passing through origin.

It implies that the y-intercept for all the lines is zero.

The slope-intercept equation of the line can be written as,

y = mx + c

Here c is the y-intercept.

When c = 0, the equation becomes as y = mx.

It implies that the for lines passing through origin, the slope of the line becomes the proportionality constant.

Now, from the given graph the line A is shown to be passing through (5, 1).

Then, the slope is given as,

m = (5 - 0)/(1 - 0) = 5

Hence, the line A in the given graph has constant of proportionality as 5.

To know more about slope click on,

https://brainly.com/question/3605446

#SPJ5

PLEASE HELP f(x)= x-2. Find the inverse of f(x)

Answers

Answer:

It's A

Step-by-step explanation:

If f(x) = 3x + 2, what is f(5)?​

Answers

Answer:

f(5) = 17

Step-by-step explanation:

plug in 5 in the x so 3(5)+2 =17

Answer:

17

Step-by-step explanation:

3(5) + 2 = 17

15 + 2 = 17

Olivia is a stockbroker. She earns 4% commission when she sells stocks. Last week, she earned 7200 in commission. a. What was the total amount of her sales?

Answers

Answer:

1800

Step-by-step explanation:

7200 percent divided by 4 percent equals 1800

1. (02.01 MC) Celine has a bottle that contains 20% milk and the rest water. The bottle has 1 liter of water. Part A: Write an equation using one variable that can be used to find the total number of liters of milk and water in the bottle. Define the variable used in the equation. (5 points) Part B: How many liters of milk are present in the bottle? Show your work. (5 points) (10 points)

Answers

Answer:

A. Total number of liters = 1.25 liters

B. Milk = 0.25 liters

Step-by-step explanation:

Let

x = total number of liters ( milk + water )

Milk = 20% of x

= 0.2x

Water = 1 liter

Total number of liters = milk + water

x = 0.2x + 1

x - 0.2x = 1

0.8x = 1

Divide both sides by 0.8

x = 1 / 0.8

= 1.25

x = 1.25 liters

Total number of liters = 1.25 liters

B.

Liters of milk in the bottle = Total number of liters - liters of water

= 1.25 liters - 1 liter

= 0.25 liter

Milk = 0.25 liters

Number 10 will be marked brainliest

Answers

Answer:

Sorry. Please mark as brainliest

Find the sum of 3-7i and 8+4i
A. 22-8i
B. 11+3i
C. -22+8i
D. 11-3i

Answers

D.11-3i add the numbers 11-7i+4i

HELO ASAP CONVERT ALL OF THE FOLLOWING TO STANDARD NOTATIONS

Answers

Answer:

5. 78300000

6. 25000

7. 0.000008345

8. 0.003

Step-by-step explanation:

when the exponent is negative, the decimal moves to the left

when the exponent is positive, the decimal moves to the right


For the pair of points, find the slope of the line that passes through both points.
(1,1) and (7,5)

Answers

5-1/7-1
4/6
Answer 2/3
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