Mixed-Strategy Games (AQA A-Level Further Maths): Quizzes

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Mixed-Strategy Games
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What indicates a game needs mixed strategies?

Max row minima ≠ min column maxima

Why do players randomize strategies in mixed-strategy games?

To prevent opponent predicting moves

What is A's play-safe value?

Maximum of the row minima

In E(x)=xipiE(x) = \sum x_i p_i, what do you calculate?

Each payoff × probability, then sum

What does player A maximize when finding optimal strategy?

The value of the game vv

What is the value of the game to player B?

v-v (negative of value to A)

In a 2×5 game, how many strategies does the column player use optimally?

Only 2 strategies

Where does maximum vv occur on the graph for player A?

Where constraint lines intersect

What should you check FIRST before finding mixed strategies?

Whether a stable solution exists

How can you verify your solution is correct?

Value to A = negative of value to B

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