Game Theory

In game theory, a Nash equilibrium refers to a situation where:

• One player dominates the other

• Both players cooperate for mutual benefit

• No player can benefit by changing their strategy unilaterally

• Players reach a stalemate and stop playing

In a simultaneous game, players:

• Make decisions sequentially

• Make decisions simultaneously without knowledge of the other player's choice

• Make decisions after observing the other player's choice

• Make decisions in a predetermined sequence

What does a payoff matrix show in game theory?

• The number of moves in a game.

• The probabilities of different outcomes.

• The payment to each player for a particular strategy.

• The optimal mixed strategy.

which type of game when one player gains, the other player loses, and the net gain for both is zero?

• Cooperative equilibrium

• Non-zero-sum game

• Zero-sum game

• Mixed strategy equilibrium

Which of the following is an example of a non-cooperative game?

• Poker

• Chess

• None of them

• Both of them

In a cooperative game, players:

• Act independently to maximize their individual outcomes

• Make decisions without knowledge of the other players' choices

• Form coalitions and negotiate to achieve joint outcomes

• Play against each other with predetermined rules

What is game theory?

• The study of video games and their design.

• The study of board games and their rules.

• A theory about winning strategies in competitive sports.

• A branch of mathematics analyzing strategic interactions.

Which type of game involves a situation where the outcome depends on the choices made by two or more rational decision-makers?

• Cooperative game

• Non-cooperative game

• Sequential game

• Simultaneous game