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STPM Mathematics (M) Term 3 Assignment

STPM 2016 Term 3 Assignment MM

Mathematics (M)

2016 Term 3 05-05Question Received! Save Save Save
STPM 2016 Term 3 Mathematics (M) Assignment
Thanks for submitting the question paper.
In a two-person zero-sum game, the gain of one player is the loss of the other. Play-safe strategies are adopted in a game having a stable solution. Mixed strategies are adopted in a game having no stable solution, where a graphical method or simplex algorithm may be used depending on the order of the pay-off matrix. 1 Find 2×3 or 3×2 pay-off matrix, without any dominant rows or columns, which has no saddle point. (a) Use a graphical method to determine the optimal mixed strategy for each player. (b) Use the simplex algorithm given below to determine the optimal mixed strategy for each player. (c) Comment on the graphical method and simplex algorithm in solving two-person zero-sum games. 2 Find a 3×3 pay-off matrix, without any dominant rows or columns, which has no saddle point. Determine the optimal mixed strategy for each player.

Sample Solution

Question 1a.

Yes, I am not going to write the solution for the graphical method. You can refer to any examples in the textbook.

Question 1b.

I used 3×2 game as example. You can refer the sample solution with complete working below

Question 2.

You can refer the sample solution with complete working below

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KK LEE

KK LEE has been a STPM Mathematics tuition teacher since June 2006, but his love of Maths dates back to at least 1999 when he was Form 4. KK LEE started teaching in 2006 at Pusat Tuisyen Kasturi. He was known as "LK" when he was teaching in PTK. After teaching STPM Mathematics for 8 years in PTK, he joined Ai Tuition Centre in 2014. Over the years he has taught Mathematics (T), Mathematics (S), Mathematics (M), Additional Mathematics.

2 Comments

  1. Mijanil Sri

    I can’t solve my matrix for question 1 part (b)…I need ur help sir

    Reply
  2. Mijanil Sri

    I can’t get the correct answer for my matrix in no.1 part b question….the answer for both part is not the same…Can you help me?

    Reply

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