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In Problems 1-8, is the matrix game strictly determined?
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- Q5) Using graphical method to solve the following matrix game B1 B2 B3 A1 1 3 12 A2 8 6 2arrow_forwardd) Solve the following game for optimum strategies and the value of the game given the following matrix; Player A 18 6 11 7 Player B 4 6 4 2 13 7 5 17 3 6 12 2arrow_forwardConsider the following matrix representing a two-person zero- sum game. -1 4 3 2 -2 3 2 1 -1 2 4 2 0 3 A. Write the primal and dual linear programming problems associated with this game. B. Solve the game.arrow_forward
- b) Consider the following game matrix: -10 -2 -1 7 -5 20 -10-10 7 -1 2 7 -10 7 -1 -10 Determine optimal mixed strategies to each player and give the value of the game. -1 7 -20 -10 -1 2-10 7 -5 20 -1 -1arrow_forwardx and value of the original matrix game. In fractions please.....arrow_forwardSolve 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.arrow_forward
- not use ai pleasearrow_forward9. Solve the matrix game M, indicating the optimal strategies P*and Q*for row player R and column player C, respectively, and the value v of the game. (First determine if the game is strictly or nonstrictly determined. P*=________ (Type an integer or simplified fraction for each matrix element.) Q*= _____________ (Type an integer or simplified fraction for each matrix element.) v=arrow_forward2arrow_forward
- Solve the matrix game M, indicating the optimal strategies P and Q for row player R and column player C, respectively, and the value v of the game. (First determine if the game is strictly or nonstrictly determined.) M= P* = -3 2 3 -2 (Type an integer or simplified fraction for each matrix element.) Carrow_forwardConsider the coin-matching game played by Richie (row) and Chuck (column) with the payoff matrix 3 −2 −2 2 . (a) Find the optimal strategies for Richie and Chuck. P = Q = (b) Find the value of the game. (Round your answer to two decimal places.)E =arrow_forwardProblem 3: (3+3+4 = 10 points) Let's look at a 2-player game where the players are A and B, and their actions are X, Y, and Z, with the following payoff matrix: B: X B: Y B: Z A: X 20,10 10, 20 1,1 A: Y 10, 20 20,10 1,1 A: Z 1,1 1,1 0,0 1) Reduce the payoff matrix using the Iterated Elimination of Strictly Dominated Strategies (IESDS) technique. 2) Do pure strategy Nash equilibrium/equilibria exist? If yes, what is/are the strategy/strategies for both players? (Hint: you should work on the reduced matrix from the previous subquestion). 3) Find the mixed strategy Nash equilibrium and both players' expected payoff at the equilibrium (Hint: you should work on the reduced matrix from the previous subquestion).arrow_forward
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