1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Svetllana [295]
3 years ago
13

An aggressive dictator is deciding where to hide his weapon of mass destruction, while the UN is deciding where to look for it.

(The US has gotten the dictator to allow UN inspectors to look for it, in exchange for not attacking the dictator’s country.) The payoff to the dictator of successfully hiding the weapon is 5 and from having it found is 2. For the UN, the payoff to finding the weapon is 9 and from not finding it is 4. The dictator can hide it in facility X, Y or Z. The UN inspectors have limited time and personnel, so they can inspect any two facilities –that is, the UN’s pure strategies are XY, XZ, YZ.
a.Write out the normal form game in matrix form, with players 1 = dictator, 2 = UN inspectors.
b.Find a mixed strategy Nash equilibrium.
c. What is the probability that the weapon is found?
Business
1 answer:
trasher [3.6K]3 years ago
7 0

Answer:

(a)

z = UN

Let the Matrix of players 1 = dictator

            X             Y            Z

           9   ²       9   ²       4   ⁵

           9   ²       4   ⁵       9   ²

           4   ⁵       9   ²       9   ²

Above is the normal form of game in matrix form with player 1 = dictator strategy.

Now, the matrix of players inspectors

    XY     9  ²      9  ²      4  ⁵

    XZ     9  ²      4  ⁵      9  ²

    YZ     4  ⁵      9  ²      9  ²

The above strategy is player 2 = UN inspectors strategy.

(b)

Mixed strategy N ash equilibrium

Therefore,

The matrix of player 1 = dictator hiding strategy :

 X   =    9,2    9,2    4,5

  Y   =    9,2    4,5    9,2

  Z   =    4,5    4,5    9,2

The matrix of player 2 = inspector secret strategy

 XY  =   9,2    9,2    4,5

 XZ  =   9,2    4,5    4,5

 YZ  =   4,5    9,2    9,2

(c)

The probability that the weapon is found

=> Seeing the table above, we will calculate 6 of 9 times of inspector calculating weapon.

=> The probability that the weapon is found is

  = 6 / 9

  = 2 / 3

  = 0.67

Explanation:

You might be interested in
What are payroll taxes?
Brut [27]

Answer:

This is all the information I could find.

5 0
3 years ago
If the U.S. economy is producing at a level that is substantially less than potential GDP and the government's budget deficits a
diamong [38]

Answer:

an inflationary increase in the price level.

Explanation:

Monetary policy can be defined as the actions (macroeconomic policies) adopted and undertaken by the central bank of a particular country to control the money supply and interest rates so as to boost or enhance economic growth. The central bank uses monetary policies to manage inflation, economic growth through long-term interest rates and level of unemployment in a country.

In order to boost economic growth, a monetary policy is implemented to increase money supply (liquidity). Also, it is used to prevent inflation by reducing money supply.

An inflationary gap, also referred to as an expansionary gap in economics, is typically used for measuring the difference between the gross domestic product (GDP) and the current level of Real Gross Domestic Products that exists when a country's economy is gauged at a full employment rate. Consequently, this situation causes the price of goods and services to go up with a low income level among the people living in the country.

A budget deficit is the amount by which spending exceeds income.

All other factors held constant or all things being equal (ceteris paribus), an increase in government's budget deficit drives the interest rate up.

Generally, when there's a deficit in government budget, they resort to issuing more bonds or borrowing money from creditors. These creditors are likely to be sceptical about the government's ability to repay the debt and as such would increase the interest rate.

Hence, an inflationary increase in the price level of goods and services is not much of a danger if the U.S. economy is producing at a level that is substantially less than potential gross domestic product (GDP) and the aggregate demand is being increased by government's budget deficits.

3 0
2 years ago
Can you contest a divorce on the very last day?
Citrus2011 [14]
You actually can cause it wasn’t far alone in the relationship
6 0
3 years ago
Read 2 more answers
A market researcher who uses his ability to identify a logical sequence to predict demand for a new line of winter clothing is u
Charra [1.4K]

Answer:

The correct answer is Inductive reasoning.

Explanation:

Inductive reasoning is a form of reasoning in which the truth of the premises supports the conclusion, but does not guarantee it. A classic example of inductive reasoning is:

  1. All the crows observed so far have been black
  2. Therefore, all crows are black

In principle, it could be that the next crow observed is not black. In contrast to deductive reasoning, inductive reasoning has the advantage of being expansive, that is, the conclusion contains more information than is contained in the premises. Given its expansive nature, inductive reasoning is very useful and frequent in science and in everyday life. However, given its fallible nature, its justification is problematic. When are we justified in making an inductive inference, and concluding, for example, that all crows are black from a limited sample of them? What distinguishes a good inductive argument from a bad one? These and other related problems give rise to the problem of induction, whose validity and importance has continued for centuries.

7 0
3 years ago
A state charges a 7% sales tax on non-grocery items.
zvonat [6]

Answer:

$8.75

Explanation:

The sales tax is on non-grocery  is 7%

Sales tax on an item costing $125 will be

=7% of $125

=7/100 x $125

=0.07 x $125

=$8.75

7 0
3 years ago
Other questions:
  • How can the owners of Antoun Hair Salon determine whether they made a
    13·1 answer
  • Time is an important factor when evaluating a managed mutual fund for which of the following?
    15·1 answer
  • Allied Paper Products, Inc., offers a restricted stock award plan to its vice presidents. On January 1, 2021, the company grante
    12·1 answer
  • 11. Regarding employee relations, demoting an employee is an alternative to
    15·1 answer
  • XYZ, Inc. purchased an office building on October 1, 2020, that was put on the books at $800,000. The building is expected to be
    15·1 answer
  • All of the following information should be researched before a job interview EXCEPT what?
    8·2 answers
  • A
    8·1 answer
  • Identify the statement that characterizes the Age Discrimination in Employment Act. Multiple Choice It permits an employer to re
    9·1 answer
  • a. what happens to the number of sandwiches and ice cream cones consumed if the price of ice cream cones rises to $2 a piece?
    11·1 answer
  • Contribution margin ______.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!