Consider the game with matrix A=[ 23 – 12] - 46 32 %3D Find the saddle point of this game (show your work).
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A: Given - The following are the demand and supply functions for three competing mobile phone models of…
Q: find the twelfth pawer X of the matrix X that satusfies the Equation 12 X A = AD
A: XA=AD⇒X=ADA-1⇒X12=ADA-112=ADA-1·ADA-1·…·ADA-1=ADA-1ADA-1A·…·A-1ADA-1=AD12A-1
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Q: In the exercise, a mixed row strategy is given. Use -1 0 21 -2 0 2 22 0 P = -1 0 -3 and find the…
A: Given mixed row strategy is P=-102-102220-10-3 and R=1201414.
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Q: A matrix A is similar to matrix B, if for some invertible matrix P, B = P''AP. Is B similar to A?
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Q: b) Suppose a 6 × 8 matrix A has four pivot columns. What is the dim (Null A)? Is Col A = R* ?…
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Q: 18. Let A be a 3 x 5 matrix with 2 pivots. What is the dimension of Nul(A)?
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Q: 4 Is the matrix a linear combination of the ma- 3 and 1 ? Justify your answer. trices
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Q: e singular values
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Q: Suppose a 6 x 8 matrix A has four pivot columns. What is the dim (Null A)? Is Col A = Rª ? Explain.
A: see below the answer
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Q: Find the LU- Factorization of the matrix A below 1 -2 3 A = 2 1 -4 4 1-4 6. 5 -2
A: Given 21-1-20321-441-465-2
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Q: (b) Compute the covariance matrix of the data given by x1 = [2 1]', x2 = [3 %3D x3 = [2 3]'and x4 =…
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Q: If A is a 2 x 2 skew symmetric matrix, must det(A) = 0?
A: we have a 2×2 skew symmetric matrix.
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- Explain how you can determine the steady state matrix X of an absorbing Markov chain by inspection.The Chinese government has created a fund worth more than 20 trillion won to foster the semiconductorindustry. Although there is a large technological difference between memory semiconductors, systemsemiconductors can be developed in a short period of time. The number of companies producinghomogeneous quality products has increased.■Question (a) In the Cournot game, when the number of firms increases from 2 to n, compare the output,total output, and profit of each firm with N.E. in the Cournot model. ■Question (b) If the number of companies participating in the semiconductor market increases to infinity,that is, in a perfectly competitive market, what will be the equilibrium point?A particular two-player game starts with a pile of diamonds and a pile of rubies. Onyour turn, you can take any number of diamonds, or any number of rubies, or an equalnumber of each. You must take at least one gem on each of your turns. Whoever takesthe last gem wins the game. For example, in a game that starts with 5 diamonds and10 rubies, a game could look like: you take 2 diamonds, then your opponent takes 7rubies, then you take 3 diamonds and 3 rubies to win the game.You get to choose the starting number of diamonds and rubies, and whether you gofirst or second. Find all starting configurations (including who goes first) with 8 gemswhere you are guaranteed to win. If you have to let your opponent go first, what arethe starting configurations of gems where you are guaranteed to win? If you can’t findall such configurations, describe the ones you do find and any patterns you see.
- In a top business school, 60% of its students are female, and 40% are male. All of them have totake a core module, Business Analytics. Although there are quite a number of students who like themodule, there are also quite a number who dislike it. The remaining students are indifferent to it.A study found that 40% of the female students dislike the module. Only 25% of male students dislikeit. Moreover, only 10% of students are indifferent to it. Interestingly, equal numbers of male andfemale students are indifferent to it, among all students. Given that a student who like Businessanalytics, what is the probability that this student is a male student?Every day, Eric takes the same street from his home to the university. There are 4 streetlights along his way, and Eric has noticed the following Markov dependence. If he sees agreen light at an intersection, then 60% of time the next light is also green, and 40% of timethe next light is red. However, if he sees a red light, then 70% of time the next light is alsored, and 30% of time the next light is green.(a) Construct the transition probability matrix for the street lights.(b) If the first light is green, what is the probability that the third light is red?(c) Eric’s classmate Jacob has many street lights between his home and the university. Ifthe first street light is green, what is the probability that the last street light is red?(Use the steady-state distribution.)A courtroom has 2000 documents, of which 1250 are classified. Each week, 10% of the classified documents become declassified and 20% are shredded. Also, 20% of the unclassified documents become classified and 5% are shredded. Find and interpret the steady state matrix for this situation.
- Calculate the expected payoff of the game with payoff matrix.The quality of wine obtained from a vineyard varies from year to year depending on a combination of factors, some of which are predictable and some which are not. (...) Formulate the Markov chain for wine qualityOne can use the equations of the Markowitz model to derive the CAPM equation. At thispoint, one would be wrong to conclude that this is the CAPM model. What additional argumentis necessary to make the transition from one model to the other?a. All other options are necessary.b. There is a single investor who holds the mean-variance efficient portfolio.c. There is at least one investor who holds the market portfolio.d. Investors know the returns and standard deviations of all securities in the economy.
- A researcher analyzing the determinants of earnings and she has data on 16 occupation categories that exhausts all possibilities. If the researcher runs a regression of earnings on a binary (dummy variable) for all 16 categories, which least-square assumption is violated?A researcher is interested in understanding how the flexibility of vacation policies at a company influence employee satisfaction with their job. Company 1, Vance Refrigeration, has a 2 week vacation policy in which employees can take those 2 weeks at any time during the year. Company 2, Dunder Mifflin Paper Company, has a 2 week vacation policy in which employees can only take vacation days during specific pre-approved times of year. How could the confound be fixed for Scenario A? Be sure to tell me what technique you are using (constancy, repeated measures, randomization, elimination, or balancing), as well as how you would apply that technique to this specific scenario, and how that would fix this confound.PLEASE SHOW ME HOW YOU GOT MATRIX [], SPECIALLY 0.9 AND 0.2 A medical researcher is studying the spread of a virusin a population of 1000 laboratory mice. During any week, there is an 80%probability that an infected mouse will overcome the virus, and during thesame week there is a 10% probability that a noninfected mouse will becomeinfected. Three hundred mice are currently infected with the virus. Pleaseanswer the following.1. What is the stochastic matrix that models this process?