Zero-Sum Games (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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