Solve the game with the given payoff matrix. -1 1 2 4 -1 -2 3 20 P = Optimal row player strategy Optimal column player strategy
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- Q6/ Solve the following payoff matrix to find the best strategies and the value of the game: (Use the graphical method) BI B2 B3 A1 1 3 10 A2 8 5Solve 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.Write the payoff matrix for the given game, use Rick as the row player. Two friends, Rick and Carl, play the following game. Each one has a coin, and each decides which side to turn up. They show the coins simultaneously and make payments according to the following. If both show heads, Rick pays Carl 50 cents. If both show tails, Rick pays Carl 25 cents. If a head and a tail show, Carl pays Rick 35 cents.
- Two players play a game which involves holding out a nickel or a dime simultaneously. If the sum of the coins is more than 10 cents, Player I gets both the coins; otherwise, Player II gets both the coins Find the optimal strategy for the column player. H H [9] HTwo-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 Rsolve the matrix game. 5 0 2 -3 5 2 i need the answers in simplified fraction for each matrix.
- 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 .Solve the matrix game using a geometric linear programming approach. −8 −2 −5 −6 P*= (Type integers or simplified fractions for each matrix element.) Q*= (Type integers or simplified fractions for each matrix element.) υ= (Type an integer or a simplified fraction.Solve the matrix game using a geometric linear programming approach. 0 - 5 - 3 3 P. (Type integers or simplified fractions for each matrix element.) %3D
- 2 6 -4 -7 Solve the game with the payoff Matrix 4 7 -3 -5 3 3 9. 8PROBLEM-SOLVING 1. Del, Chico, and Gino play a certain game. The player who loses each round must give each of the other player as much money as the player has at that time. In Round 1, Del loses and gives Chico and Gino as much money as they each have. In Round 2, Chico loses and gives Del and Gino as much money as they each have. Gino loses in Round 3 and gives Del and Chico as much money as they each have. They decide to quite at this point and discover that they each have 24 dollars. How much money did they each start with? 2. In a drawer, there are eight blue socks, six green socks, and twelve black socks. What is the smallest number of socks that must be taken from the drawer without looking at the socks to be certain of having two socks of the same color?Reduce the payoff matrix by dominance. b c -2 -5 2 -3 -10 10 1 3 4 -4