Linear Programming and Game Theory 1 (AQA A-Level Further Maths): Quizzes

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Zero-Sum Games
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What is the defining characteristic of a zero-sum game?

One player's gain equals the other's loss

What does the payoff matrix show in a zero-sum game?

The row player's gains

In a payoff matrix, what does a positive number represent?

Row player gains, column player loses

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

Maximin strategy

How do you find the column player's minimax strategy?

Find max in each column, choose minimum

When does a zero-sum game have a stable solution?

Max of row minima = Min of column maxima

What is the value of the game?

Row player's payoff at stable solution

When does row ii dominate row jj?

All values in row ii \geq row jj

When does column ii dominate column jj?

All values in column ii \leq column jj

Which values does the column player prefer in the payoff matrix?

Smaller values

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