Games as Linear Programming Problems (AQA A-Level Further Maths): Quizzes

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Games as Linear Programming Problems
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What defines a zero-sum game?

One player's gain = other's loss

In a pay-off matrix, whose perspective are the values shown from?

Row player (player A)

What is the row player's play-safe strategy called?

Maximin strategy

What does the column player do to find their play-safe strategy?

Minimum of column maxima (minimax)

When does a game have a stable solution?

Max of row minima = min of column maxima

What is the formula for expected payoff?

E(x)=∑xipiE(x) = \sum x_ip_i

Why add a constant to pay-off matrix entries?

Make all entries non-negative for simplex

What must you do after solving LP if you added a constant?

Subtract constant from final value

What is the objective function in LP formulation?

Maximize P=vP = v

What is the purpose of slack variables?

Convert inequalities to equations

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