Understanding Nash Equilibrium in Game Theory

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What is the Nash equilibrium in game theory?

A solution where no player has anything to gain by changing only their own strategy

What does it mean for a strategy choice to constitute a Nash equilibrium?

No player can increase their expected payoff by changing only their own strategy

Who is the mathematician after whom the Nash equilibrium is named?

John Nash

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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