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- Determine the optimal pure strategies for the payoff matrix of the game. If the game is strictly determined, give its value. -9 4 2-2 *** Determine the optimal pure strategies for the payoff matrix of the game. The optimal pure strategy for R is to choose row (Type whole numbers.) Select the correct choice below and, if necessary, fill in the answer boxes within your choice. The optimal pure strategy for C is to choose column. OA. The game is strictly determined. The value of the game is (Type an integer or a decimal.) OB. The game is not strictly determined.Consider the consistent system below. For what values of p, q, and r is the following matrix in reduced row-echelon form? Q2.1 p must be either 0 or 1 1 other 0 Q2.2 Select all that must be true: r must be 0 r must be 1 g must be 0 q must be either 0 or 1 must be either 0 or 1 none of the above q must be 1 10000 12 0 Р 1 009 00-10 r 0 21. Suppose two roommates i = 1,2 must decide how much time, 5< tį < 10 (and integer), to spend on cleaning their apartment. The payoff (per unit) to roommate i = 1,2 is given by the following function: (20i Pij (50j – 30i if j 2i if jPreventing heart attacks: Medical researchers performed a comparison of two drugs, clopidogrel and ticagrelor, which are designed to reduce the risk of heart attack or stroke in coronary patients. A total of 6728 patients were given clopidogrel, and 6678 were given ticagrelor. Of the clopidogrel patients, 573 suffered a heart attack or stroke within one year, and of the ticagrelor patients, 672 suffered a heart attack or stroke. Can you conclude that the proportion of patients suffering a heart attack or stroke is greater for ticagrelor? Let p₁ denote the proportion of patients suffering a heart attack or stroke with clopidogrel and p2 denote the proportion of patients suffering a heart attack or stroke with ticagrelor. Use the a= 0.05 level of significance and the P-value method with the TI-84 Plus calculator. Part: 0 / 4 Part 1 of 4 State the null and alternate hypotheses. Ho: H₁ : This hypothesis test is a (Choose one) ▼ test. OBanzhaf Power Index 1. Compute the Banzhaf power indices of players A, B, C, and D in the system [5 : 3,2,21] by determining the winning coalitions and the critical players.QUESTION 2 Player 1 and Player 2 will play one round of the Rock-Paper-Scissors game. The winner receives a payoff +1, the loser receives a payoff-1. If it is a tie, then each player receives a payoff of zero. Suppose Player 2 is using a non-optimal strategy: he/she plays Rock with probability 35%; Paper with probability 45%; and Scissors with probability 20%. Given that Player 1 knows Player 2 is using this strategy, the best response of Player 1 is to play O a mixed strategy with probability 1/3 each (Rock, Paper and Scissors) O Rock with probability 100% O Paper with probability 100% Scissors with probability 100% O any strategy (any strategy is a best response for Player 1)SEE MORE QUESTIONSRecommended textbooks for youAdvanced Engineering MathematicsAdvanced MathISBN:9780470458365Author:Erwin KreyszigPublisher:Wiley, John & Sons, Incorporated
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