Pure Strategy Math Problem Example | Topics and Well Written Essays - 1000 words

Pure Strategy - Math Problem ExamplePlayer A would pick to have the largest jimmy possible from those highlighted. In the diagram this can be seen to occur when the line V = 2 + 7X intersects with V= 6 - 3X which occurs at the point as determined below.Value of the game is as follows.The minimax criteria is to maximise the minimum values. To recover the solution for Bs strategy we need to identify and solve the 2 by 2 pay-off hyaloplasm associated with As optimum strategy. In this case that will be the columns associated with the lines V= 2 + 7X and V= 6 - 3X. Hence3962Q3. a) SolutionThe transformation is as follows. come in Number of audience = 10000000Total audience size as a pair in from each one matrix element = 100000Total value of a pair in each matrix element = 10000000/100000 = 100Subtracting half the total value of a pair as computed higher up from each element of the payoff matrix defined in the question.Half the total value = 50Payoff Matrix SkyCastHistorical Drama w aggeryContemporaryDramaVarietyMini series60 - 5058 - 5049 - 5052 - 50RayTVDetective55 - 5052 - 5054 - 5059 - 50Film55 - 5054 - 5047 - 5055 - 50Variety47 - 5054 - 5056 - 5061 - 50Transformed Matrix SkyCastHistorical DramaComedyContemporaryDramaVarietyMini serial publication10 8-1 2RayTVDetective 5 2 4 9Film 5 4-3 5Variety-3 4 611b) Solution SkyCastHistorical DramaComedyContemporaryDramaVarietyMini Series10 8-1 2RayTVDetective 5 2 4 9Film 5 4-3 5Variety-3 4 611Comparing fourth column with the third base column 2 -1, 9 4, 5 -3...In the diagram this can be seen to occur when the line V = 2 + 7X intersects with V= 6 - 3X which occurs at the point as determined below.The minimax criteria is to maximise the minimum values. To find the solution for Bs strategy we need to identify and solve the 2 by 2 pay-off matrix associated with As optimal strategy. In this case that will be the columns associated with the lines V= 2 + 7X and V= 6 - 3X. HenceThe value decides the type of the show to be put out in order to maximise the ratings over the approach TV season. The value against Detective has more gain (approximately 3.33) and hence it has to be put out in order to maximise the ratings.