Calculate the expected payoff of the game with payoff matrix 20-1 2 -100-3 P = -200 1 42-2 2 using the mixed strategies supplied. HINT [See Example 1.] R= [0 0 0 1], C = [1 0 0 0] x
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- solve the matrix game using a geometric liner progrmming aproach [0 -3] [-6 6] i cant make bigger brackets but its the matrixSolve the game whose pay off matrix is given below: Player B B, B2 A, 2 2 Player A A2 -4 -1 -2 3 -3 B, 1.(ii) Explain Nonzero-sum game along with an example. For what value of A, the game with following payoff matrix is strictly determinable? B₂ A₁ A₂ A3 В1 λ -1 -2 6 λ 4 B3 2 -7 λ
- E/Solve the following payoff matrix to find the best strategies and the value of game: B1 B2 8 5 2 AI 1 42 3 A3 10 یاQ. 3 (a) Consider complete pivoting strategy to discuss the following system of 1 equation. 4x, - 4x, - 3x, +7x, 1.3 8x, - 3x, - 8x, +17x, 6.6 12x, - 12x, - 16.x, + 29x, -2.1 - 8x, + 33 x, - 25x, +36x, = 10.4 %3D (b) Discuss the real roots of polynomial equation x*-5x' + 5x + 5x-7 = 0, correct to 4 dp, given that the equation has roots near 3 and -1.Determine the maximin and minimax strategies for the two-person, zero-sum matrix game. −3 5 6 7 The row player's maximin strategy is to play row .The column player's minimax strategy is to play column .
- Two-Finger Morra is a game in which two players each hold up one or two fingers. The payoff, in dollars, is the total number of fingers shown. R receives the payoff if the total is even, and C receives the payoff if the total is odd. Write the payoff matrix. C R2 6 -4 -7 Solve the game with the payoff Matrix 4 7 -3 -5 3 3 9. 8A politician can emphasize jobs or the environment in her election campaign. The voters can be concerned about jobs or the environment. A payoff matrix showing the utility of each possible outcome is shown. The political analysts feel there is a 0.51 chance that the voters will emphasize jobs. Voters Jobs Environment +25 Jobs - 10 Environment - 15 +30 Which strategy should the candidate adopt? What is the expected utility? Which should the candidate emphasize to gain the highest utility? Jobs Environment What is the expected utility of the strategy chosen in the previous step? 7.05 (Type an integer or a decimal.)