Solve the game with the given payoff matrix. -1 2 1 3 -1 -2 P = 2 Optimal row player strategy Optimal column player strategy Expected value of the game

solve the matrix game using a geometric liner progrmming aproach   [0  -3] [-6  6]  i cant make bigger brackets but its the matrix

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] H

not use ai please

In two player’s dynamic games the player who moves second gets the advantage because we solve the game backwards. Explain why or why not?

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

2.)A jar contains 2 red, 3 green, and 6 blue marbles. In a game a player closes their eyes, reaches into the jar and randomly chooses two marbles. The player wins the game if at least one of their marbles is red. Suppose it costs $1 to play the game and the winning prize is $3. Mathematically analyze this game and determine if it is in your financial interest to play the game.

A game consists of rolling a colored die with 3 red sides, 2 green sides, and one blue side. A roll of a red loses. A roll of a green pays $3.00. A roll of blue pays $8.00. The charge to play the game is $3.00. Would you play the game? Why or why not? Yes you should play. On any given roll the cost to play exceeds the amount you are expected to win. Yes you should play. On any given roll your expected value exceeds the amount that it cost to play the game. O No you should not play. On any given roll the cost to play exceeds the amount you are expected to win, O No you should not play. On any given roll your expected value exceeds the amount that it cost to play the game. O Yes you should play. You have a chance to win $8 and you only had to pay $2 to play.

Study 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,…

Please solve (Game Theory - Neumann-Morgenstern theory):         Please don't solve if unsure