Data berikut digunakan untuk menjawab soal nomor 1 - 4 . & multicolumn(5)(|c|)( PERSIB ) & & Strategi 1 & Strategi 2 & Strategi 3 & Strategi 4 & Strategi 1 & 4 & 4 & -5 & 6 & Strategi 2 & -3 & -4 & -9 & -2 & Strategi 3 & 6 & 7 & -8 & -9 & Strategi 4 & 7 & 3 & -9 & 5 1) Strategi maximin kesebelasan PSMS terletak pada strategi .... A. 1 B. 2 C. 3 D. 4 2) Strategi minimax kesebelasan Persib terletak pada strategi .... A. 1 B. 2 C. 3 D. 4 3) Saddle point pada game di atas bernilai .... A. -9 B. -5 C. 6 D. 7 4) Saddle point terjadi pada suatu game apabila nilai game tertinggi .... A. < nilai terendah B. = nilai terendah C. > nilai terendah D. neq nilai terendah

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Data berikut digunakan untuk menjawab soal nomor 1 - 4 . & multicolumn(5)(|c|)( PERSIB ) & & Strategi 1 & Strategi 2 & Strategi 3 & Strategi 4 & Strategi 1 & 4 & 4 & -5 & 6 & Strategi 2 & -3 & -4 & -9 & -2 & Strategi 3 & 6 & 7 & -8 & -9 & Strategi 4 & 7 & 3 & -9 & 5 1) Strategi maximin kesebelasan PSMS terletak pada strategi .... A. 1 B. 2 C. 3 D. 4 2) Strategi minimax kesebelasan Persib terletak pada strategi .... A. 1 B. 2 C. 3 D. 4 3) Saddle point pada game di atas bernilai .... A. -9 B. -5 C. 6 D. 7 4) Saddle point terjadi pada suatu game apabila nilai game tertinggi .... A. < nilai terendah B. = nilai terendah C. > nilai terendah D. neq nilai terendah

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Answer 1

1) A. 1
2) C. 3
3) B. $-5$
4) B. $=nilai\quad terendah$

Answer 2

Step 1:

Determine the Maximin Strategy for PSMS

The maximin strategy involves finding the maximum of the minimum payoffs for each strategy of PSMS. For each row (strategy) of PSMS, identify the smallest value and then choose the largest among these minimum values.
- PSMS Strategi 1:

Minimum = $-6$
- PSMS Strategi 2: Minimum = $-9$
- PSMS Strategi 3: Minimum = $-9$
- PSMS Strategi 4: Minimum = $-9$

The maximum of these minimums is $-6$, which corresponds to Strategi 1.

Step 2:

Determine the Minimax Strategy for PERSIB

The minimax strategy involves finding the minimum of the maximum payoffs for each strategy of PERSIB. For each column (strategy) of PERSIB, identify the largest value and then choose the smallest among these maximum values.
- PERSIB Strategi 1:

Maximum = $7$
- PERSIB Strategi 2: Maximum = $7$
- PERSIB Strategi 3: Maximum = $-5$
- PERSIB Strategi 4: Maximum = $4$

The minimum of these maximums is $-5$, which corresponds to Strategi 3.

Step 3:

Identify the Saddle Point

A saddle point occurs where the maximin value equals the minimax value. From the previous steps, we have:

- Maximin value for PSMS = $-6$
- Minimax value for PERSIB = $-5$

Since there is no common value, there is no saddle point in this game.

Step 4:

Condition for a Saddle Point
A saddle point exists when the highest value of the game is equal to the lowest value. In this context, it means that the maximin value should equal the minimax value.

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