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Nash Equilibrium in Game Theory
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Nash Equilibrium in Game Theory

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Questions and Answers

What is the Nash equilibrium in game theory?

  • A situation where players keep changing their strategies to gain more payoff
  • A situation where each player tries to maximize their own payoff without considering others' strategies
  • A situation where no player can increase their payoff by unilaterally changing their strategy (correct)
  • A situation where players collaborate to maximize their collective payoff
  • When is (A, B) a Nash equilibrium in a game involving Alice and Bob?

  • When Alice has no other strategy that does better than A in response to Bob choosing B, and Bob has no other strategy that does better than B in response to Alice choosing A (correct)
  • When Alice and Bob both choose the same strategy
  • When Alice and Bob have equal payoffs with their chosen strategies
  • When Alice's strategy A is always better than Bob's strategy B
  • What did Cournot do with the principle of Nash equilibrium in 1838?

  • Used it for cooperative games
  • Ignored its significance in game theory
  • Developed it as a mathematical theorem
  • Applied it to competing firms choosing outputs (correct)
  • What did Nash show about Nash equilibrium in games?

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

    When is (A, B, C, D) a Nash equilibrium in a game involving Alice, Bob, Carol, and Dan?

    <p>A is Alice's best response to (B, C, D), B is Bob's best response to (A, C, D), and so forth</p> Signup and view all the answers

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