8 From the following pay-off table, find the best strategy i) Maximax criteria is applied ii) Maximin criteria is applied. Strategy Natures Ni N2 N3 S1 200 50 40 S2 100 60 30 S3 40 30 10
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- Let's consider the following game between Matt and Claudia, two newly wedded couple. They are deciding if they should buy a larger house in a rural area (L1) or a smaller place in an urban area (L2). Their payoffs reflect both their happiness and their convenience to their daily commuting to work: Claudia L1 L2 Matt L1 200, 1000 0,0 L2 0,0 800, 500 c) What is the solution of the game, that is, the optimal strategy (or strategies) of the game and the expected payoff for each player? d) What type of solution did we reach (Dominated strategy, Nash Equilibrium or Mixed Strategy)rClass Exercise 2: Player I holds a black Ace and a red 8. Player II holds a red 2 and a black 7. The players simultaneously choose a card to play. If the chosen cards are of the same color, Player I wins. Player II wins if the cards are of different colors. The amount won is a number of rands equal to the number on the winner's card (Ace counts as 1.) Set up the payoff function.Suppose that you watch the game show over many years and find that door #1 hides the car 50% of the time, door #2 has the car 40% of the time, and door #3 has the car 10% of the time. What then is your optimal strategy? In other words, which door should you pick initially, and then should you stay or switch? What is your probability of winning with the optimal strategy? Explain.
- Pls helpAssume that we want to construct a confidence interval. Do one of the following, as appropriate: (a) find the critical value t,/2, (b) find the critical value z/2, or (c) state that neither the normal 40- distribution nor the t distribution applies. 30- The confidence level is 95%, o is not known, and the histogram of 58 player salaries (in thousands of dollars) of football players on a team is as shown. 20- 10- 0- 4000 Salary (thousands of dollars) 8000 12000 16000 20000 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. ta/2 = %3D (Round to two decimal places as needed.) В. Za/2 =| (Round to two decimal places as needed.) O C. Neither the normal distribution nor the t distribution applies. FrequencyChoose one statistic from the construction choices and one statistic from the receptionist choices that have the same salart construction: minimum, 1st quartile, median, 3rd quartile, maximum receptionist: minimum, 1st quartile, median, 3rd quartile, maximum
- PLEASE ANSWER EVERYTHING. I WILL UPVOTE ALL I PROMISE. DO NOT DO THIS IF YOU ALREADY DID THIS.Q8 A desk lamp produced by DavidLee Company was found to be defective (D). There are three factories (A, B, C) where such desk lamps are manufactured. A Quality Control Manager (QCM) is responsible for investigating the source of found defects. This is what the QCM knows about the company's desk lamp production and the possible source of defects: Factory A B с % of Total Production 25%, or P(A) = 0.25 35%, or P(B) = 0.35 40%, or P(C)=0.40 % of defective 3.5%, or P(D/A) =0.035 4.5%, or P(D/B) = 0.045 6.5%, or P(D/C) = 0.065 If 100 products are randomly selected from these three factories, how many defects will be found?There are three players in a public good game. Each player (i=1,2,3) has 100 dollars to contribute the amount of money cı, i=1,2,3, for a public good. Each player's payoff depend on the following: (i) The amount of her remaining wealth 100-c, i=1,2,3, for spending in private good. 3. (ii) The amount of public good is equal to the sum of contributions from all players. (iii) Each person cares about the amount of public good and her consumption of private goods. Based on the above assumption, each players ui-(100+c)+(c1+c2+c3)(100-c), i=1,2,3 (a) What is the amount of each player contribute to the public good for Nash equilibrium for the non-cooperative simultaneous game? .What is total payoffs for all players in the non-cooperative simultaneous game? What is the amount of each player contributes to the public for social optimum if (b) (c) there are no discrimination of all players? Hint: The social optimum is the maximum total payoff if all players cooperate together. You might think…
- Matching options: 1. x1y1 + x2y2 + x1y3 + x2y4 + x1y2 + x2y1 + x1y4 + x2y3 2. x1y1 + x2y2 + x1y2 + x2y1 + x1y3 + x2y4 + x1y4 + x2y3 3. x1y1 + x2y1 + x1y2 + x2y2 + x1y3 + x2y3 + x1y4 + x2y4 4. y1x1 + y1x2 + y1x3 + y1x4 + y2x1 + y2x2 + y2x3 + y2x4 5. y1x1 + y2x1 + y1x2 + y2x2 + y1x3 + y2x3 + y1x4 + y2x4 6. x1y1 + x1y2 + x1y3 + x1y4 + x2y1 + x2y2 + x2y3 + x2y4TEST SEMESTER/SESSION : 1/ 2021/2022 PROGRAMME : BFF COURSE NAME CIVIL ENGINEERING COURSE CODE BFC 34303 STATISTICS Number of drivers involved with accidents 600 during night time. Number of drivers involved with accidents 300 during day time. Number of drivers involved with accidents 175 during both night and day time. Number of drivers have no experience with 50 road accidents. FIGURE Q1(b): Data from the survey conducted among teenagers who drive a carUse the sample information x⎯⎯x¯ = 42, σ = 7, n = 16 to calculate the following confidence intervals for μ assuming the sample is from a normal population. (a) 90 percent confidence. (Round your answers to 4 decimal places.) (b) 95 percent confidence. (Round your answers to 4 decimal places.) (c) 99 percent confidence. (Round your answers to 4 decimal places.) (d) Describe how the intervals change as you increase the confidence level.multiple choice The interval gets narrower as the confidence level increases. The interval gets wider as the confidence level decreases. The interval gets wider as the confidence level increases. The interval stays the same as the confidence level increases.