1. Find the range of values for p and q that will render the entry 5...

 

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1. Find the range of values for "p" and "q" that will render the entry "5" a saddle point in the following two-person zero-sum game. q6 5 10 6 2 3 Julius Malema A = p 2. Presidency Incumbent contester Cyril Ramaphosa (ANC) and Julius Malema (EFF) are contesting the South African presidency seat. The election hinges on the swing vote in three cities: Polokwane, Tzaneen and Louis-Trichardt, where polls show them to be in a dead heat. The candidates have decided to spend the last four weeks prior to the election campaigning in those cities. Their campaign strategists have come up with the following payoff matrix representing the number of potential votes gained or lost for each one-day campaign stop. SSOA022 Polokwane Tzaneen Louis-Trichardt Cyril Ramaphosa Polokwane Tzaneen -200 -300 -500 500 -500 0 Finding solutions for Africa (5) (4 1 -3) A = 3 2 5 10 1 6 Louis-Trichardt 300 -100 0 ASSIGNMENT 1 2022 What percentage of the time should each candidate spend at each city in order to maximize votes? If both candidates follow these strategies and make a campaign stop every day for the next two weeks, predict the resulting vote. (15) 3. Consider the following game matrix: Using both the Dominance and Linear Programming approaches, determine the optimal mixed strategies to both players and give the value of the game. (15) 1. Find the range of values for "p" and "q" that will render the entry "5" a saddle point in the following two-person zero-sum game. q6 5 10 6 2 3 Julius Malema A = p 2. Presidency Incumbent contester Cyril Ramaphosa (ANC) and Julius Malema (EFF) are contesting the South African presidency seat. The election hinges on the swing vote in three cities: Polokwane, Tzaneen and Louis-Trichardt, where polls show them to be in a dead heat. The candidates have decided to spend the last four weeks prior to the election campaigning in those cities. Their campaign strategists have come up with the following payoff matrix representing the number of potential votes gained or lost for each one-day campaign stop. SSOA022 Polokwane Tzaneen Louis-Trichardt Cyril Ramaphosa Polokwane Tzaneen -200 -300 -500 500 -500 0 Finding solutions for Africa (5) (4 1 -3) A = 3 2 5 10 1 6 Louis-Trichardt 300 -100 0 ASSIGNMENT 1 2022 What percentage of the time should each candidate spend at each city in order to maximize votes? If both candidates follow these strategies and make a campaign stop every day for the next two weeks, predict the resulting vote. (15) 3. Consider the following game matrix: Using both the Dominance and Linear Programming approaches, determine the optimal mixed strategies to both players and give the value of the game. (15)

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1 The range of values for p and q that will render the entry 5 a saddle point in the given twoperson zerosum game is p 3 and q 6 To find the saddle po... View the full answer