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1 \ 2 |
a |
b |
c |
A |
2,2 |
2,1 |
0,0 |
B |
3,1 |
3,0 |
1,3 |
C |
1,3 |
3,2 |
3,1 |
Eliminate iteratively all strictly dominated strategies.
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- Solve it correctly both subparts early.PLEASE DO 14.4A researcher studying the effects of a new fertilizer on crop yields plansto carry out an experiment in which different amounts of the fertilizerare applied to 100 different 1-acre parcels of land. There will be fourtreatment levels. Treatment level 1 is no fertilizer, treatment level 2 is50% of the manufacturer’s recommended amount of fertilizer, treatmentlevel 3 is 100%, and treatment level 4 is 150%. The researcher plans toapply treatment level 1 to the first 25 parcels of land, treatment level 2to the second 25 parcels, and so forth. Can you suggest a better way toassign treatment levels? Why is your proposal better than the researcher’smethod?
- A major proposed industry in the future is the provision of global satellite wifi. However, the actual willingness to pay for such a service is unknown. Assume there's a 40% chance that there are 1 billion people willing to pay $100/year for a service that would cost $60/year to provide and a 60% chance that those people would be willing to pay $10/year for a service that would cost $60/year to provide. Assume that the enterprise involved with this risky industry has an interest rate or discount rate of 20%.a. What is the expected value, annually, of providing this service?b. Assume that you could spend $75 billion to launch a testbed of the program, that could then either be scrapped if the willingness to pay were $10 or continue at normal cost afterward (for simplicity, assume that the program will last forever and generate constant annual returns if it is continued) if the willingness to pay were $100. What is the net expected value of this testbed?There is a city, which looks like a trapezoid, as shown below. Citizens liveuniformly distributed all over the city. Two ice-cream vendors, A and B, must independently set up stores in the city. Each citizen buys from the vendor closest to their location and when equidistant from both vendors they choose bycoin toss. Each vendor’s aim is to maximize the expected number of customers. A choice oflocation by the two vendors is a Nash equilibrium if no vendor can do better by deviatingunilaterally. Does this game have a Nash equilibrium? If so, describe it. If not, explain why not.only answer Q9 B)
- 1.4. Suppose you are against one of two alternatives but 90% of theelectorate disagrees with your position and favors that option. Is there avoting method that is anonymous, neutral, and monotone that preventsthat option from being selected as the winning alternative?Use 7.3A Starbucks and Dunkin' compete for coffee customers on Cooper Street. Each can sell a large coffee for either $1 or $2 with 60% of the price being profit. It is expected that 2000 large coffees will be bought by UTA students per month at the two coffee shops and 1000 per month by non-students. Students choose the shop with the most inexpensive coffee if possible. When the prices are the same, students are equally likely to choose either coffee shop. Non-students are always equally likely to choose either coffee shop. If the goal of both coffee shops is to maximize profit for large coffees (and thereby all coffee hopefully), what would be the strategies for both coffee shops in a two-person game? $1 and $2 O 1000 and 2000 O 80% and 20% O none of the other choices « Previous Next Simpfun
- A bunch of cookies should be divided among students by a teacher. Each student writes secretly on a sheet of paper his name and the amount of the cookies (his bid) he wants to get (other students cannot see this number). Then the teacher sorts these bids in ascending order and gives cookies to the students starting from the bid with the smallest amount. If cookies are finished at some point the rest of the students get nothing. If there are several equal bids that cannot be satisfied simultaneously with the current amount of cookies, cookies are equally divided among the students who named these bids. If there are extra cookies, the teacher keeps them. You should assume that cookies are perfectly divisible. Find a Nash Equilibrium in pure strategies. Explain why the set of strategies you propose is indeed a Nash Equilibrium in pure strategies. Explain why there are no other Nash equilibria.Halsen, a marketing manager at Business X, has determined four possible strategies (X1, X2, X3, and X4) for promoting the Product X in London. She also knows that major competitor Product Y has 4 competitive actions (Y1, Y2, Y3 and Y4) it’s using to promote its product in London, too. Ms. Halsen has no previous knowledge that would allow her to determine probabilities of success of any of the four strategies. She formulates the matrix below to show the various Business X strategies and the resulting profit, depending on the competitive action used by Business Y. Determine which strategy Ms. Halsen should select using. Maximax, maximin or minimax regret? Business X Strategy Business Y Strategy Y1 Y2 Y3 Y4 X1 25 57 21 26 X2 17 29 20 34 X3 47 31 32 37 X4 35 27 30 35Halsen, a marketing manager at Business X, has determined four possible strategies (X1, X2, X3, and X4) for promoting the Product X in London. She also knows that major competitor Product Y has 4 competitive actions (Y1, Y2, Y3 and Y4) it’s using to promote its product in London, too. Ms. Halsen has no previous knowledge that would allow her to determine probabilities of success of any of the four strategies. She formulates the matrix below to show the various Business X strategies and the resulting profit, depending on the competitive action used by Business Y. Determine which strategy Ms. Halsen should select using, the following decision criteria. Please explain your answer for each strategy. a)Maximax; b)Maximin; c)Minimax regret Business X Strategy Business Y Strategy Y1 Y2 Y3 Y4 X1 25 57 21 26 X2 17 29 20 34 X3 47 31 32 37 X4 35 27 30 35