Consider the following two player bi-matrix game 19 6 19 1 -10 21 B = 0 -8 -5 A = 7 12 6 2 14 16/ -9 1 -3. a) Find all pure strategic equilibria. b) Find safety levels of players.
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- Determine the dimension of the matrix 14710238.Solve 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.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 .
- (P, P2) Consider the game given by the following game matrix. Find the optimal strategy p * = for the row player "R" -2 -5 3 M= - 3 4The pay-off matrix of the stratogies followed by two players A & B is given bolow. Player B Strategy B1 B2 B3 B4 2 -5 63 A2 36 4 5 Player A Al Check whether the game has a saddie point or not and find the solution of the game using graphical methodTwo 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] H
- 2 6 -4 -7 Solve the game with the payoff Matrix 4 7 -3 -5 3 3 9. 8Study techniques Your mathematics test is tomorrow and will cover the following topics: game theory, linear programming, and matrix algebra. You have decided to do an "all-nighter" and must determine how to allocate your 8 hours of study time among the three topics. If you were to spend the entire 8 hours on any one of these topics (thus using a pure strategy), you feel confident that you would earn a 90% score on that portion of the test but would not do so well on the other topics. You have come up with the following table, where the entries are your expected scores. (The fact that linear programming and matrix algebra are used in game theory is reflected in these numbers.) Test Game Linear Matrix Your Strategies Theory Programming Algebra Game Theory 90 80 60 Linear Programming 50 90 50 Matrix Algebra 70 30 90 You have been told that the test will be weighted as follows: game theory: 25%; linear programming: 50%; matrix algebra: 25%. (a) If you spend 25% of the night on game theory,…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 یا
- 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.******* Determine the maximin and minimax strategies for the two-person, zero-sum matrix game. -43] 45 The row player's maximin strategy is to play row The column player's minimax strategy is to play column Need Help? Read It