Find the pure and mixed strategy Nash equilibriums for the following game. Show computation.
Homework Answers
Answer :
First consider player 2
| Player 2 | |||
| Player 1 | Left | Down | |
| Up | 11, 12 | (15), 10 | |
| Down | (12), 1 | 6, 0 | |
Now, Consider player 1
| Player 1 | |||
| Player 1 | Left | Down | |
| Up | 11, (12) | 15, 10 | |
| Down | 12, (1) | 6, 0 | |
Thus,
| Player 2 | |||
| Player 1 | Left | Down | |
| Up | 11, (12) | (15), 10 | |
| Down | (12), (1) | 6, 0 | |
Therefore,
Choose cell which has both values circled
The Nash Equilibrium is
{ Down, Left }
The game has no mixed equilibrium
Add Answer to:
Find the pure and mixed strategy Nash equilibriums for the
following game. Show computation.
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Consider the following extensive-form game with two players, 1 and 2. a). Find the pure-strategy Nash...
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Marks]
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If players play this mixed Nash equilibrium in the subgame, would 1
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2
3
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a). Find the pure-strategy Nash equilibria of the game. [8
Marks]
b). Find the pure-strategy subgame-perfect equilibria of the
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[Hint: Write down the normal-form of the subgame and derive the
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be sustainable?
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