Consider the following two-person zero-sum game. Assume the two players have the same three strategy options.

Player B
Player A Strategy b1 Strategy b2 Strategy b3
Strategy a1 1 3 -6
Strategy a2 2 -1 2
Strategy a3 2 7 -5

1. Is there an optimal pure strategy for this game?
2. If so, what is it?
3. Identify and eliminate dominated strategies and reduce the game to a 2x2 game.

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Consider the following two-person zero-sum game. Assume the two players have the same three strategy options.
Player B
Player A Strategy b1 Strategy b2 Strategy b3
Strategy a1 1 3 -6
Strategy a2 2 -1 2
Strategy a3 2 7 -5
1. Is there an optimal pure strategy for this game?
2. If so, what is it?
3. Identify and eliminate dominated strategies and reduce the game to a 2x2 game.

A zero sum game is a game that when the wins and losses are add up in a game, the sum is zero for each set of strategies chosen. The zero sum game is a game in which one player's winning equal the other player's losses. The definition requires a zero sum for every set of strategies. If there is even one strategy set for which the sum differs from zero, then the game is not zero sum.

For the two person zero sum games, the solution to the game is the maximum criterion. Each player ...

Solution Summary

A zero sum game is a game that when the wins and losses are add up in a game, the sum is zero for each set of strategies chosen. The zero sum game is a game in which one player's winning equal the other player's losses. The definition requires a zero sum for every set of strategies. If there is even one strategy set for which the sum differs from zero, then the game is not zero sum.

6. Considerthefollowingtwo-person, zero-sumgame. Identify the pure strategy. What is the value of the game?
Player B
________b1_____b2_____b3
player A A1________8______5______7
A2________2______4____ _10

Three people play a game in which one person loses and two people win each game.The one who loses must double the amount of money that each of the other players has at that time. Thethreeplayers agree to play three games. At the end of thethree games, each player has lost one game and each has $8. What was the original st

Suppose that a cake is being divided in thefollowing way among twoplayers. Each player writes down a number from zero to one on his piece of paper. Then both players turn over their pieces of paper. If the sum is less than or equal to one, each player gets a share of the cake equal to the number he wrote. If the sum is bigge

In a two-player, one-shot simultaneous-move game each player can choose strategy A or strategy B. If both players choose strategy A, each earns a payoff of $500. If both players choose strategy, each earns a payoff of $100. If player one chooses strategy A and player 2 chooses strategy B, then the player 1 earns $0 and player

1. In a Nash equilibrium,
each player has a dominant strategy.
no playershave a dominant strategy.
at least one player has a dominant strategyplayers may or may not have dominant strategies.
the player with the dominant strategy will win.
2. Nash equilibria are stable because,

Find the value and the optimal strategies for thetwo person zero-sum game below.
Player 2
Player 1 1 2 3
2 0 3
I have determined the value of the game, but I don't know how to get to the optimal strategy. Please step through. My professor gave us the answer: Row Player Value = 4/3, The optimal strategy for the ro

Two basketball players, Barbara and Juanita, are the best offensive players on the school's team. They know if they "cooperate" and work together offensively-feeding the ball to each other, providing screens for the other player, and the like- they can each score 12 points. If one player "monopolizes" the offensive game, whil

9. Thefollowing is the pay-off matrix for zero sum game. What is the each player's dominated strategy of thefollowingzero-sum game?
Firm 2
Firm 1 C1 C2 C3
R1 6 -6 -4
R2 -1 3 0
R3 3 2 1
a. R1 for Firm 1 and no dominated strategy for Firm 2.
b. R2 for Firm 1 and no dominated strategy

In a two play, one shot simultaneous-move game each player can choose strategy A, each earns a payoff of $500. If both players choose strategy A, each ears a payoff of $500. If both players choose strategy B, each earns a payoff of $100. If player 1 chooses strategy A and player 2 chooses strategy b, then player 1 earns $0 and p