Game Theory Flashcards

(26 cards)

1
Q

What is game theory?

A

A mathematical framework for analyzing strategic interactions among rational decision-makers.

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2
Q

True or False: Game theory is only applicable in economics.

A

False

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3
Q

Fill in the blank: A __________ is a situation in which two or more players make decisions that affect the outcomes for each other.

A

game

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4
Q

What are the two main types of games in game theory?

A

Cooperative and non-cooperative games.

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5
Q

What is a Nash Equilibrium?

A

A situation where no player can benefit by changing their strategy while the other players keep theirs unchanged.

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6
Q

Multiple choice: Which of the following is a key assumption in game theory? A) Players are irrational B) Players have complete information C) Players act independently

A

B) Players have complete information

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7
Q

What is a zero-sum game?

A

A situation in which one player’s gain is exactly balanced by the losses of other players.

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8
Q

True or False: In a cooperative game, players can form binding commitments.

A

True

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9
Q

What does the term ‘dominant strategy’ refer to?

A

A strategy that is the best choice for a player, regardless of what the other players choose.

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10
Q

Fill in the blank: The __________ is a graphical representation of a game that shows the players, strategies, and payoffs.

A

payoff matrix

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11
Q

What is a mixed strategy?

A

A strategy where a player randomizes over two or more pure strategies.

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12
Q

Multiple choice: In which type of game do players choose their strategies simultaneously? A) Sequential game B) Simultaneous game C) Cooperative game

A

B) Simultaneous game

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13
Q

What is the difference between a pure strategy and a mixed strategy?

A

A pure strategy involves choosing one specific action, while a mixed strategy involves randomizing over multiple actions.

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14
Q

True or False: The Prisoner’s Dilemma demonstrates that individual rational choices can lead to a worse outcome for all players.

A

True

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15
Q

What is the significance of the ‘Pareto efficiency’ concept in game theory?

A

An outcome is Pareto efficient if no player can be made better off without making another player worse off.

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16
Q

Fill in the blank: In game theory, __________ refers to the strategies that players can choose from.

17
Q

What is the best response in game theory?

A

The strategy that yields the highest payoff for a player given the strategies chosen by the other players.

18
Q

Multiple choice: Which of the following is NOT a characteristic of a non-cooperative game? A) Binding agreements B) Individual strategies C) Payoff maximization

A

A) Binding agreements

19
Q

What is backward induction?

A

A method used to solve sequential games by analyzing the game from the end to the beginning.

20
Q

True or False: Extensive form games are represented using trees.

21
Q

What does ‘subgame perfect equilibrium’ refer to?

A

A refinement of Nash Equilibrium applicable in dynamic games where players’ strategies constitute a Nash Equilibrium in every subgame.

22
Q

Fill in the blank: In game theory, __________ refers to the additional benefit gained from a particular strategy.

23
Q

What is a coordination game?

A

A game where players benefit from making the same choices or coordinating their strategies.

24
Q

Multiple choice: Which concept explains why players might not cooperate even if it benefits them? A) Nash Equilibrium B) Dominant strategy C) Prisoner’s Dilemma

A

C) Prisoner’s Dilemma

25
What is the role of mixed strategies in game theory?
To make a player's actions less predictable and to potentially improve their payoff against opponents' strategies.
26
True or False: Game theory can be applied to biology to explain evolutionary strategies.
True