Give an example of a 2 x 2 matrix game with exactly three nash equilibria in pure strategies. Explain.

Answers

Answer 1

Answer:

A Nash equilibrium is a profile of strategies (s1,s2) such that the strategies are best responses to each other, i.e., no player can do strictly better by deviating. This helps us to find the (pure strategy) Nash equilibria.

To start, we find the best response for player 1 for each of the strategies player 2 can play. I will demonstrate this by underlining the best responses:

ABCA1–,10,101–,−10B10–––,01,11,10C−10,110–––,11,1

Player 1 is the row player, player 2 is the column player. If 2 plays column A, then player 1's best response is to play either row A or C, which gives him 1 rather than 0 as payoff. Similarly, the best response to column B is row A, and to column C it is row B.

Now we do the same for player 2 by underlining the best responses of the column player:

ABCA1–,1–0,10–––1–,−10B10–––,01,11,10–––C−10,1–10–––,11,1

So, if player 1 plays row A then player 2 best responds either with column A or column C, giving him 1 rather than 0. We also find the best responses for row B and C.

Now a pure strategy Nash equilibrium is a cell where both payoffs are underlined, i.e., where both strategies are best responses to each other. In the example, the unique pure strategy equilibrium is (A,A). (There may also be mixed strategy equilibria.) In all other cells, at least one player has an incentive to deviate (because it gives him a higher payoff).

EDIT: How to compute mixed strategy equilibria in discrete games?

In a mixed Nash strategy equilibrium, each of the players must be indifferent between any of the pure strategies played with positive probability. If this were not the case, then there is a profitable deviation (play the pure strategy with higher payoff with higher probability).

Consider player 2. He plays column A with probability p, B with probability q, and C with probability 1−p−q. We need to find p,q such that player 1 is indifferent between his pure strategies A,B,C. He is indifferent between row A (left hand side) and row B (right hand side) if p,q are such that

p+10q−10(1−q−p)=q+10(1−p−q).

He is indifferent between B and C if

q+10(1−p−q)=p+q+1−q−p=1.

You just have to solve the first condition for q as function of p, substitute q in the second condition and you have p. Inserting p again in the first gives you q.

Now we do the same with strategies for player 1 such that player 2 is indifferent. Player 1 plays A with probability x, B with probability y and C with probability 1−x−y. The two conditions that follow are

1x+10y−10(1−x−y)=x+10(1−x−y)x+10(1−x−y)=1

Solve this again to find x,y. This is a mixed-strategy equilibrium, because neither player has a profitable deviation. Remember, we constructed the profile (x,y;p,q) such that the other player is indifferent between his pure strategies. So, no matter how the other player unilaterally deviates, his expected payoff will be identical to that in equilibrium (x,y;p,q). In general, depending on the game and solutions x,y,p,q, there may be infinitely many mixed Nash equilibria, or none. The more pure strategies there are, the more tedious it is to compute mixed strategy equilibria, since we solve for N−1 variables for each player (N being the number of pure strategies of the other player).

Moreover, to find all equilibria, if there are more than 2 actions for a player, then every possible combination of actions has to be checked. Here, a player has 3 actions, and a mixed strategy equilibrium could entail mixing over all three or just any two of them. Since such a player would not have to be indifferent regarding the strategy played with probability 0, the equations you have to set up are different. In summary, manually checking for all possible mixed strategy equilibria if at least one player has more than two actions can require a lot of effort.

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Related Questions

How can olive oil help in preventing and managing diabetes when included in the daily diet? suppose a mechanism.​

Answers

Answer:

The rise in blood sugar levels was much smaller after the meal with extra virgin olive oil than after the meal with corn oil. The findings were consistent with previous studies, which have linked extra virgin olive oil to higher levels of insulin, making it beneficial to people with type 2 diabetes.

Explanation:

Answer:

reduces glucose levels LDL (low density lipoprotien) and triglycerdes

A pharmacy technician would tell a patient about a contraindication if the patient is taking

nitroglycerin for angina.
warfarin along with aspirin.
a laxative to manage constipation.
an analgesic and anesthetic for acute pain.

Answers

Answer:

pharmacy

analgesic and aneSTHETIC

what are tubes that carry blood back to the heart ?
a. arteries
b.veins
c.pipes
d.tubes​

Answers

Answer:

arteries and veins

Explanation:

those two are the answers

Answer:

I think it's veins.

Explanation:

Arteries carry the blood away from the heart and the veins carry the blood back to the heart.

Alopecia areata has a genetic and
basis.

Answers

Answer:

Sorry you got the wrong question

Answer:

autoimmune

Explanation:

took assignment on edge

you admitted a patient with hypotensive crisis with the following data and doctors
patient juan dela cruz 45 years old NGT for gavage feeding every 4 hours
With indwelling foley catheter for urine output monitoring
6:30 a.m. clients vs bp =70/40 rr = 15 pr = 59 o2sat = 98%
doctor's order fluid regimen
R hand start ivf off d5lrs 1 liter to run 48 hours using macro set with slide drift of levophed to ampules + 96 cc of pnss x 15 ugtts per minute
second line le start ivf pnss 1 l x 10 gttsper minute start blood transfusion of two unit prbc once available properly type and crossmatch
you receive the patient at exactly 7:00 a.m. and started the fluid regimen
8:00 a.m. started gavage feeding of 1 glass osterized feeding with 1/2 glass of plain water to dilute the feeding
8:00 a.m. urine output
8:30 a.m. pack rbc for blood transfusion available
9:00 a.m. started blood transfusion with 250 ml of 1 unit prbc to run for 4 hours no reactions noted
12:00 noon next feeding do but the patient was restless was not available to give the full feeding remaining half glass was discarded
1:00 p.m. urine collected is 200ml
1:30 p.m. finish one prbc, hooked 2nd prbc with same rate
3:00 p.m. no urine output recorded
End of Shift
instruction complete the intake and output form every two hours ​

Answers

Answer:

8

Explanation:

instruction the intake and output

How can health care professionals prepare for working with various age groups?

Answers

Answer:

They can work with kids and adults and teenager's so that they can see how they have to work in each age group. They have to look at the emotions feelings actions and a bunch of different things so that they can see what working with the different age groups do so that you can become closer to what they are looking for and their needs and create a stronger bond with all of them individually.  But they can start of with maybe baby sitting to help with the younger age and or work at a assisted living facilitys so that you can see what working with the elderly agr group is also for like teenagers you could go work as a school nurse to help with the seeing what it is like.

Hope this helps! :)

When health care professionals take care of the kids and elderly, they should take care of these:

Strive to maintain their dignity as best as you can. Be mindful of their physical and mental health. Particularly in regards to mental health, you need to be mindful and observant of the health status of the individuals you are taking care of.

What are age-specific considerations?

The definition of Age-Specific Considerations in Patient Care is to provide healthcare professionals with notification, about other age groups, how to identify needs related to these age groups, and how to vary approaches to patient care with age-specific needs in mind.

Thus, it is important to prepare for work according to various age groups.

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Is lean good (educational purposes only)

Answers

Always, alwayssssssssss

The tendency of a person to catastrophize the extent of loss lowers his blood pressure.

Answers

Answer: What is the question

Explanation:

Shirya is at the dentist getting a cavity filled. The doctor injects her with a local anesthetic. Which drug did Shirya most likely receive?

lidocaine or procaine
methohexital or lorazepam
lorazepam or procaine
fentanyl or methohexital

Answers

Answer:
Lidocaine
Hope this helps u

The risk of getting lung cancer at some point in time in one's life for men who have never smoked is about 13 in 1000. The risk for men who smoke is just over 13 times the risk for non-smokers. What is the approximate lifetime risk of getting lung cancer for men who smoke

Answers

0.169  is the approximate lifetime risk of getting lung cancer for men who smoke.

In the United States, about 10 to 20% of lung cancer cases, or 20,000 to 40,000 lung cancers each year, occur in people who have never smoked or have smoked fewer than 100 cigarettes in their lifetime.

In this case, if we talk about the risk of smokers in terms of the risk of non-smokers, so the baseline risk is the risk for the non-smokers. So the baseline risk for lung cancer in men over an entire lifetime is the risk of lung cancer for men who have never smoked, over their lifetime, which is =0.013

The approximate lifetime risk of getting ling cancer, for male smokers, can be calculated as being 13 times the base risk= 0.169

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1-Which of the following is a feature of Irreversible Cell Injury:
a) Glycogen stores are depleted
b) Cytoplasmic sodium increases
c) Nuclei undergo karyorrhexis
d) Intracellular pH diminishes
e) Blebs form on cell membranes

Answers

Answer:

Cytoplasmic sodium increase.

Explanation:

Pls mark as brainliest

Answer:

cevap bursa cytoplasmic sodium increases

Medicare Part D covers
A. occupational therapy visits.
B. hospital inpatient stays.
C. physician surgeries.
D. prescription drugs.

Answers

Answer:

D

Explanation:

Medicare Part D, the prescription drug benefit, is the part of Medicare that covers most outpatient prescription drugs.

Through the use of dental images, the dental radiographer can detect ________ that cannot be detected clinically.

Answers

Through the use of dental images, the dental radiographer can detect diseases, abscesses or cysts that cannot be detected clinically.

Dental radiographer generates the image of a person's teeth which help them to see the proper condition of the teeth properly.

By the use of dental imaging, people are able to find out about diseases, abscesses or cysts, decay in tooth are hidden. With the help of dental imaging, dental radiographer  can find out about developmental abnormalities also.

It also helps in the detection of bone infections, gum infections and diseases. One can identify those defects that are not visible in a visual dental examination.

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why do
do halo-halo stores sprout during summer​

Answers

That is the time and season they sprout
Because of the time and the season

Given a 20% w/v solution of chlorhexidine gluconate, what volume is required to make 400 mL of a 2% w/v solution?

Answers

Answer:

Explanation:

A 2% w/v solution contains 2 g in 100 mL, or 8 g in 400 mL.

In a means-end chain for milk, the calcium content of milk leads to healthier bones, which leads to a display of wisdom and a comfortable life free of osteoporosis. The display of wisdom and a comfortable life component of the means-end chain is the: Group of answer choices

Answers

Answer: Leverage point

Explanation:

The display of wisdom and a comfortable life component of the means-end chain is referred to as the leverage point.

The leverage point simply means a message that is passed by the company to the customers and prospective customers or where the company shows the emotional benefits and the advantages that one gets when the product is bought from them than from other competitors.

Imagine that you are working with a team of bioarchaeologists that has just excavated a medieval cemetery site in Italy. The cemetery has over 200 graves, with all sexes and ages represented in the skeletal sample. You are interested in knowing whether there were gender differences in health among members of the medieval community. How would you answer this question using the skeletal remains

Answers

Answer:

By analyzing the pelvis bone (sex determination) and the length of the diaphyseal bone and nonsynovial joints (age determination of non-adult skeletons and adult skeletons, respectively)

Explanation:

Bioarchaeologists are professionals that study human skeletons from archaeological sites. Bioarchaeologists can estimate the age and sex of human skeletons and thus determine the health and dynamics of past human populations. In regard to sex determination, the pelvis is a bone that can be used to estimate the sex of an individual with an accuracy higher than 95%. In regard to the age, characteristics associated with bone growth such as, for example, the length of the diaphyseal bone, can be good indicators to estimate the age of non-adult skeletons, while nonsynovial joints (i.e. joints without a synovial membrane) which are commonly called synarthroses or solid joints, can be used to estimate the age of adult skeletons.

Order: Pfizerpen (penicillin potassium) 200,000 units IM q6h

a) Which concentration is best to administer the dose?

Answers

Answer:

Explanation:

I'm only like 60% sure so you might want to double check this.

Think:

Need 400 mg

Have 100 mg per mL ( Need four times that amount )

Calculate:

Dosage on hand       Dosage desired

                             =

Amount on hand      X Amount desired

Cross multiply  100 mg  400 mg

                          1 mL X  =mL

                          100 X = 400

                          100 X  = 400

Simplify             ----------------------

                          100         100

                          X 4 mL

Withdraw 4 mL of reconstituted Zithromax using 5 mL syringe

Further dilute and give IV

Since single-dose vial, discard any remaining drug

Hopefully this helps!

When should the nurse advise a client being prescribed fluoxetine hydrochloride for depression to take the medication

Answers

The nurse should advise the client to take the prescribed fluoxetine hydrochloride for depression at bedtime.

Fluoxetine hydrochloride is an antidepressant of the selective serotonin reuptake inhibitor (SSRI) class that is marketed under the brand names Prozac and Sarafem, among others. Bulimia nervosa, panic disorder, major depressive disorder, obsessive-compulsive disorder (OCD), and premenstrual dysphoric disorder are among the conditions it is used to treat.

fluoxetine hydrochloride is used to treat depression, obsessive-compulsive disorder (OCD), bulimia nervosa, premenstrual dysphoric disorder (PMDD), and panic disorder

Fluoxetine hydrochloride works by increasing the amount of serotonin (a natural substance) in your brain. Serotonin aids in preserving mental stability. Serotonin levels are raised to help with the symptoms of panic attacks, bulimia nervosa, obsessive-compulsive disorder, and sadness.

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which of the following is an anesthetic that would be commonly stockpiled and used during a disaster

Answers

Explanation:

A cellular phone network uses towers to

transmit calls. If the equation of the circular area

transmits by the tower is represented by (x-5)2 +

ly-1)2 = 22. Can you identify if you are inside or

outside of the circular area, if your coordinate

location is (6,0)? How about if your location is

(8,2)?

How to keep our surroundings clean?? Explain clearly.​

Answers

Answer:

don't litter

Explanation:

keep roads,,Your house and school clean , try not to litter anywhere , also keeping cleanliness is a good way to become better person

Answer:

A clean environment is essential for the existence of all living beings. People should prompt some laws to reduce environmental pollution.

...

Answer:

Save water.

Save electricity.

Using reusable bags.

Avoid taking cars as much as possible.

Growing more trees and plants.

Reducing pollution.

Saving natural resources.

“Diseases of the present age are very different from diseases of the past.

Answers

Answer:

Yes, the diseases of present age are different from those of past. In past, diseases that spread by poor sanitati.

Explanation:

A ________ is not typically used in the prehospital setting for oxygen administration.

Answers

A  partial re-breather mask is not typically used int he prehospital setting for oxygen administration. It is initiated for variety of reasons.

Increased metabolic demand , maintenance of oxygenation while proving anesthesia. This the most common method for home use and provide flow rate of 2 to 6 liter per minute. Allowing the delivery of oxygen while maintaining the patient's ability to utilize their mouth to talk, eat, etc.

The main purpose is  treatment for patient with acute respiratory failure and those with chronic lung disease and hypoglycemia. The maintain normal hemoglobin saturation so as facilitate normal oxygen delivery to peripheral tissues.

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what is the WHO formula for ORT​

Answers

Answer:

ORS consists of 4 constituents: 1. sodium chloride, 3.5 grams; 2. trisodium citrate, dihydrate, 2.9 grams; 3. potassium chloride, 1.5 grams; 4.

Explanation:

I think .... im not sure though

Which best describes how lenalidomine and thalidomide function in the body?

Both drugs treat multiple myeloma by inhibiting inflammation, inhibiting formation of red blood cells, and modulating the immune system to kill cancer cells.
Both drugs treat leukemia by depriving the cancer cells of asparagine and preventing protein formation resulting in cellular death.
Both drugs treat breast cancer by blocking the aromatase enzyme necessary for estradiol production.
Both drugs treat lymphoma by aiding the immune system in identifying and binding to antigen proteins on the surface of cancer cells and triggering the cell to die.

Answers

Answer:

Multiple myeloma is a B-cell malignancy characterized by an excess of monotypic plasma cells in the bone marrow. The molecular mechanisms that are involved in disease progression depend on the interaction between the multiple myeloma cells and the bone microenvironment. Because these mechanisms have been well characterized, it is possible to develop regimens that are more specific to pathways involved in the pathogenesis of multiple myeloma than is typical for conventional chemotherapy in disease management. Thalidomide and immunomodulatory drugs (IMiDs) have now been shown to block several pathways important for disease progression in multiple myeloma. First established as agents with antiangiogenic properties, thalidomide and IMiDs inhibit the production of interleukin (IL)-6, which is a growth factor for the proliferation of myeloma cells. In addition, they activate apoptotic pathways through caspase 8-mediated cell death. At the mitochondrial level, they are responsible for c-jun terminal kinase (JNK)-dependent release of cytochrome-c and Smac into the cytosol of cells, where they regulate the activity of molecules that affect apoptosis. By activating T cells to produce IL-2, thalidomide and IMiDs alter natural killer (NK) cell numbers and function, thus augmenting the activity of NK-dependent cytotoxicity. Data delineating these events have been derived from experiments done in resistant and sensitive multiple myeloma cell lines. Although thalidomide and IMiDs demonstrate similar biologic activities, IMiDs are more potent than thalidomide and achieve responses at lower doses. Lenalidomide, a thalidomide derivative, has also been shown to have a different toxicity profile. Our understanding of the mechanism of action of these agents has provided a platform for exciting clinical trials evaluating combinations of thalidomide and lenalidomide with both conventional chemotherapy and newer targeted agents.

Explanation:

HCPCS level II codes are: a. sometimes replaced by HCPCS level III temporary codes. b. intended for use by all private and public health insurers. c. maintained by the AMA's Editorial Board, which makes decisions about additions, revisions, and deletions. d. updated by CMS when necessary, without participation by the HCPCS National Panel.

Answers

Answer:

HCPCS Level II codes are alphanumeric medical procedure codes, primarily for non-physician services such as ambulance services and prosthetic devices,. They represent items, supplies and non-physician services not covered by CPT-4 codes (Level I).

Explanation:

Side effects associated with keratolytics include _______

Answers

Answer:

Explanation:

I think so it might be I think so it might be

Private health insurance is also called
A. individual insurance or non-group insurance.
B. VA Administration Insurance.
C. Schip Third-Party Payor Insurance.
D. Medicode insurance.

Answers

Answer:

Private health insurance is, instead, offered by a private entity instead (most often a for-profit company). You may also hear private health insurance plans called “off-exchange” plans–this means it's a major medical plan

in the ear, the basilar membrane and hair cells are found in the?

Answers

Answer:

cochlea

Explanation:

Answer:

Cochlea

Explanation:

Cross-section of the cochlea. The inner hair cells are located at the termination of the "inner hair cell nerves" and the outer hair cells are located at the termination of the "outer hair cell nerve"

If 3 grams of a drug are contained in 50 mL of solution, write the ratio.

Answers

Answer:

3:50

Explanation:

there are 3 g of a drug in 50 ml of solution, so it is 3/50. In a ratio it looks like this: 3:50

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