Free Printable Worksheets for learning Game theory at the Middle School level

Here's some sample Game theory quizzes Sign in to generate your own quiz worksheet.

Quiz on Game Theory

Question	Answer
What is Game Theory?	Game Theory is the study of strategic decision making. It is a branch of mathematics that studies strategic interactions between different players.
What is a Nash Equilibrium?	A Nash Equilibrium is a situation in which no player can gain an advantage by changing their strategy. It is a state of balance where no player has an incentive to deviate from their current strategy.
What is a Prisoner's Dilemma?	A Prisoner's Dilemma is a classic example of a game theory problem. It is a game between two players in which each player has to decide whether to cooperate or defect. The outcome of the game depends on the decisions of both players.
What is a Zero-Sum Game?	A Zero-Sum Game is a game in which the total gains of all players sum to zero. This means that the total gains of one player must be equal to the total losses of the other player.
What is a Mixed Strategy?	A Mixed Strategy is a strategy in which a player randomly chooses between different strategies. This can be used to increase the unpredictability of a player's decisions and make it more difficult for the other player to anticipate their moves.
What is a Dominant Strategy?	A Dominant Strategy is a strategy that is always the best choice for a player regardless of the other player's strategy. It is a strategy that guarantees the best outcome for a player no matter what the other player does.
What is a Pure Strategy?	A Pure Strategy is a strategy in which a player always chooses the same action. It is a strategy that is not affected by the other player's decisions and is always the same regardless of the situation.

Here's some sample Game theory practice sheets Sign in to generate your own practice sheet worksheet.

Introduction to Game Theory

Game theory is a mathematical tool used to analyze strategic decision-making. It is a way of understanding how people interact with each other when there are incentives to behave in a certain way.

Basic Concepts

Payoff Matrix: A payoff matrix is a table that shows the gains and losses that each player in a game can expect to receive, depending on the actions taken by the other players.
Nash Equilibrium: A Nash equilibrium is when all players in a game have chosen their strategies such that none of them can do better by changing their strategy.
Dominant Strategy: A dominant strategy is a strategy that is the best choice for a player no matter what the other players do.

Practice Problems

Consider the following payoff matrix:

Player 2	Left	Right
Up	4,4	0,6
Down	6,0	2,2

What is the Nash Equilibrium for this game?

Answer: The Nash Equilibrium for this game is Up and Right, as both players will receive the highest payoff when both choose these strategies.

Consider the following payoff matrix:

Player 2	Left	Right
Up	3,3	0,6
Down	6,0	2,2

What is the dominant strategy for Player 1?

Answer: The dominant strategy for Player 1 is Up, as it is the highest payoff regardless of what Player 2 does.