Nash Equilibrium in Game Theory
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Questions and Answers

What is the Nash equilibrium in game theory?

  • A state where one player has everything to gain by changing their own strategy
  • A state where players can increase their expected payoff by changing their strategy
  • A state where each player knows the equilibrium strategies of the other players (correct)
  • A state where players have no strategy choices
  • In a Nash equilibrium, what does it mean when a player 'has no other strategy available that does better'?

  • It means the player has exhausted all possible strategies
  • It means the player has found a strategy that guarantees maximum payoff
  • It means the player has no knowledge of alternate strategies
  • It means the player's current strategy is optimal given the other players' strategies (correct)
  • How does Nash equilibrium apply to a game with more than two players?

  • It involves finding a set of strategies where no player can unilaterally change their own strategy to achieve a better outcome (correct)
  • It is not applicable to games with more than two players
  • Each player seeks to maximize their own payoff without considering others' strategies
  • It requires unanimous agreement among all players on their strategies
  • What did Nash show about Nash equilibrium in finite games?

    <p>There is possibly a Nash equilibrium, including mixed strategies, for every finite game</p> Signup and view all the answers

    How did Cournot contribute to the principle of Nash equilibrium?

    <p>He applied it to competing firms choosing outputs</p> Signup and view all the answers

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