Copy of Copy of Consider the following matrix game M 5 Set up the minimization and...
Consider the following reward matrix for a two-person zero-sum game: 9 0 6 3 2 4 3 1 5 (a) Find optimal strategies for both the row and column players. (b) What is the value of the game to the column player?. (c) Who is favoured by the game?
1. Consider the following game in normal form. Player 1 is the "row" player with strate- gies a, b, c, d and Player 2 is the "column" player with strategies w, x, y, 2. The game is presented in the following matrix: a b c d w 3,3 1,1 0,0 0,0 x 2,1 1,2 1,0 0,5 y 0,2 1,0 3, 2 0,2 z 2,1 1,4 1,1 3,1 (a) Find the set of rationalizable strategies. (b) Find the set of Nash...
5. Consider the following game matrix of payoffs t m b LMR 1,1 5,4 4,6 4,7 0,2 3,1 2,0 2,123 ,0 a) Find the pure strategy Nash Equilibria for the above game, assuming that it is a simultaneous move game. b) Suppose Column moves first, and Row moves sequentially after that. Draw a game tree and solve for the equilibrium path. Would Column want to move first? Would Row want to let them? c) Answer the same questions in (b)...
3. Consider the following game in normal form. Player 1 is the "row" player with strate- gies a, b, c, d and Player 2 is the "column" player with strategies w, x, y, z. The game is presented in the following matrix: W Z X y a 3,3 2,1 0,2 2,1 b 1,1 1,2 1,0 1,4 0,0 1,0 3,2 1,1 d 0,0 0,5 0,2 3,1 с Find all the Nash equilibria in the game in pure strategies.
5. Consider the following game matrix of payoffs: M t 1,1 5,4 4,6 0,2 4,7 3,1 3,0 b 2,0 2,12 Find the pure strategy Nash Equi libria for the above game, ass uming that it is a simultaneo us a) move game. b) Suppose Column moves first, and Row moves sequentially after that. Draw a game tree and solve for the equilibrium path. Would Column want to move first? Would Row want to let them? c) Answer the same questions...
The payoff matrix for a game is 3 -5 2 (a) Find the expected payoff to the row player if the row player R uses the maximin pure strategy and the column C player uses the minimax pure strategy (b Find the expected payoff to the row player if R uses the maximin strategy 40% of the time and chooses each of the other two rows 30% of the bme while C uses the miin ax strategy 50% of the...
1 -1 1 1/2 4. For the matrix game 5), compute the value, the optimal 1 - 1 - 1 strategy for the row player, and two optimal strategies for the column player.
2. Consider a static game described by the following payoff matrix: LR a,1 2,6 3,0 2,c B The two numbers in each cell is the payoffs to the row player and the column player, respectively. (a) [6] Find all parameter values of a, b, and c for which the strategy profile (T, L) is a weakly dominant strategy equilibrium. (b) [6] Find all parameter values of a, b, and c for which the strategy profile (T, L) is a pure...
linear Algebra Find the optimal row and column strategies and the value of each matrix game. 4. a, A=[3 5 3 2 -1 91 8 0 1 -1 43 b. A=11-1 3-1-3 2 -1 4 0 -2 -I 0-221」 Find the optimal row and column strategies and the value of each matrix game. 4. a, A=[3 5 3 2 -1 91 8 0 1 -1 43 b. A=11-1 3-1-3 2 -1 4 0 -2 -I 0-221」
Find the optimum strategies for player A and player in the game represented by the following payoff matrix. Find the value of the game. What is the optimum strategy for player A? Choose the correct answer below, and fill in the answer box(es) to complete your choice. (Type integers or simplified fractions.) O A. The game is strictly determined. Player A should choose row and row 2 with probability O B . The game is not strictly determined. Player A...