Understanding Nash Equilibrium in Game Theory
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Questions and Answers

What is the Nash equilibrium in game theory?

  • A solution where players are assumed to be unaware of each other's strategies
  • A solution in a cooperative game involving two or more players
  • A solution where each player can increase their expected payoff by changing their strategy
  • A solution where no player has anything to gain by changing only their own strategy (correct)
  • What does it mean for a strategy choice to constitute a Nash equilibrium?

  • Players are unaware of each other's strategies
  • No player can increase their expected payoff by changing only their own strategy (correct)
  • Each player can maximize their payoff by changing their strategy
  • It only applies to finite games
  • Who is the mathematician after whom the Nash equilibrium is named?

  • Alice
  • John Nash (correct)
  • John Cournot
  • Bob
  • When is (A, B) considered a Nash equilibrium for Alice and Bob's strategies?

    <p>When Alice has no other strategy available that does better than A at maximizing her payoff in response to Bob choosing B</p> Signup and view all the answers

    What did Nash prove regarding the existence of Nash equilibrium?

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

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