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7.1
Saddle Point
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1. For the game with payoff matrix
| | | Player `B` | | | | | | `B_1` | `B_2` | `B_3` | | | | Player `A` | `A_1` | | -1 | 2 | -2 | | | `A_2` | | 6 | 4 | -6 | |
determine the best strategies for players A and B. Also determine the value of game. Is this game saddle point?
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7.2
Dominance method
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1. Dominance Example
| | | Player `B` | | | | | | `B_1` | `B_2` | `B_3` | `B_4` | | | | Player `A` | `A_1` | | 3 | 5 | 4 | 2 | | | `A_2` | | 5 | 6 | 2 | 4 | | | `A_3` | | 2 | 1 | 4 | 0 | | | `A_4` | | 3 | 3 | 5 | 2 | |
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7.3
Algebraic method
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1. Find the solution of game using algebraic method for the following pay-off matrix
| | | Player `B` | | | | | | `B_1` | `B_2` | | | | Player `A` | `A_1` | | 1 | 7 | | | `A_2` | | 6 | 2 | |
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7.4
Calculus method
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1. Find the solution of game using calculus method for the following pay-off matrix
| | | Player `B` | | | | | | `B_1` | `B_2` | | | | Player `A` | `A_1` | | 1 | 3 | | | `A_2` | | 5 | 2 | |
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7.5
Arithmetic method
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1. Find the solution of game using arithmetic method for the following pay-off matrix
| | | Player `B` | | | | | | `B_1` | `B_2` | `B_3` | | | | Player `A` | `A_1` | | 10 | 5 | -2 | | | `A_2` | | 13 | 12 | 15 | | | `A_3` | | 16 | 14 | 10 | |
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7.6
Matrix method
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1. Find the solution of game using matrix method for the following pay-off matrix
| | | Player `B` | | | | | | `B_1` | `B_2` | `B_3` | | | | Player `A` | `A_1` | | 1 | 7 | 2 | | | `A_2` | | 6 | 2 | 7 | | | `A_3` | | 5 | 1 | 6 | |
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7.7
2Xn Games
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1. Find the solution of game using 2Xn Games method for the following pay-off matrix
| | | Player `B` | | | | | | `B_1` | `B_2` | | | | Player `A` | `A_1` | | -3 | 4 | | | `A_2` | | -1 | 1 | | | `A_3` | | 7 | -2 | |
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7.8
Graphical method
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1. Find the solution of game using graphical method method for the following pay-off matrix
| | | Player `B` | | | | | | `B_1` | `B_2` | | | | Player `A` | `A_1` | | 1 | -3 | | | `A_2` | | 3 | 5 | | | `A_3` | | -1 | 6 | | | `A_4` | | 4 | 1 | | | `A_5` | | 2 | 2 | | | `A_6` | | -5 | 0 | |
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7.9
LPP method
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1. Find the solution of game using linear programming method for the following pay-off matrix
| | | Player `B` | | | | | | `B_1` | `B_2` | `B_3` | | | | Player `A` | `A_1` | | 3 | -4 | 2 | | | `A_2` | | 1 | -7 | -3 | | | `A_3` | | -2 | 4 | 7 | |
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