whatsthaat
New member
- Joined
- Jun 19, 2019
- Messages
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Hi Guys,
Could you help me to solve this out, it is based on game theory.
Here is matrix of the winnings of two players:
How to find the optimal mixed strategy for player A.
After that:
Using the data above, how to define the expected win of player A, if he apply the optimal mixed strategy and player B apply the following mixed strategy:
- On every strategy, forming Nash equilibrium, he gives 10 points, every maxmin strategy gives 10 points and on every minmax gives 20 points. After that, he distributes
probabilities to strategies proportionally to to all strategy points. For example, if one strategy received half of the points, will receive probability of 0.5.
Could you help me to solve this out, it is based on game theory.
Here is matrix of the winnings of two players:
| | | Player B: | | |
| Strategies: | M | N | P | Q |
Player A: | X | 5, -3 | 7, 9 | 9, 7 | -3, 8 |
Y | 7, 7 | 4, 1 | -2, -4 | 2, -1 |
How to find the optimal mixed strategy for player A.
After that:
Using the data above, how to define the expected win of player A, if he apply the optimal mixed strategy and player B apply the following mixed strategy:
- On every strategy, forming Nash equilibrium, he gives 10 points, every maxmin strategy gives 10 points and on every minmax gives 20 points. After that, he distributes
probabilities to strategies proportionally to to all strategy points. For example, if one strategy received half of the points, will receive probability of 0.5.