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Use the following payoff matrix for a simultaneous-move one-shot game to answer the accompanying questions.

Player 2

Strategy

C

D

E

F

Player 1

A

26,27

8,20

14,15

7,11

B

12,21

15,13

19,19

5,4

a. What is player 1

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Hubert Koch
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6 Jan 2019

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Related questions

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 $17. If both players choose strategy B, each earns a payoff of $27. If player 1 chooses strategy A and player 2 chooses strategy B, then player 1 earns $62 and player 2 earns $11. If player 1 chooses strategy B and player 2 chooses strategy A, then player 1 earns $11 and player 2 earns $62. Suppose this game is infinitely repeated. What is the maximum interest rate that can sustain collusion? Round all calculations to 2 decimals. If 10% input .10

Use the table below and answer the following questions. Assume player A is on the left and player B is on the top. This is a simultaneous move, one-shot game.

Left

Right

Up

10, 10

60, -5

Down

-5, 60

50, 50

8. Find the dominant strategies for player A and B.

9. Find the secure strategies for players A and B.

10. Which cells constitute Nash Equilibriums?

Suppose that two players are playing the following game. Player A can choose either Top or Bottom, and Player B can choose either Left or Right. The payoffs are given in the following table:



Where the number on the left is the payoff to Player A, and the number on the right is the payoff to Player B.

A) (1 point) Does player A have a dominant strategy, and if so what is it?

B) (1 point) Does player B have a dominant strategy and if so what is it?

C) (4 points) For each of the following say true if the strategy combination is a Nash equilibrium, and false if it is not a Nash equilibrium:

i) Player A plays Top and Player B plays Left

ii) Player A plays Bottom and Player B plays Left

iii) Player A plays Top and Player B plays Right

iv) Player A plays Bottom and Player B plays Right

D) (2 points) If each player plays her maximin strategy what will be the outcome of the game? (Give your answer in terms of the strategies each player chooses)

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