This agreement would improve each spouse's utility relative to the Nash equilibrium from of the prior section of the inquiry, claims the author. The claim is True.
<h3>What is Nash equilibrium?</h3>
Key Learnings. The Nash equilibrium, a judgment theorem in game theory, states that a player can accomplish the desired outcome by adhering to their initial strategy.. Each player's approach inside the Nash equilibrium is the best one given what the other players have decided.
<h3>How is the Nash equilibrium determined?</h3>
We look at each action profile separately to order to identify the Nash equilibria. By deciding to take an alternative course of action to her current one, neither player can increase her payout. And so this action profile is indeed a Nash equilibrium.
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I understand that the question you are looking for is:
Mr. and Mrs. Ward typically vote oppositely in elections and so their votes "cancel each other out." They each gain 20 units of utility from a vote for their positions (and lose 20 units of utility from a vote against their positions). However, the bother of actually voting costs each 10 units of utility. The following matrix summarizes the strategies for both Mr. Ward and Mrs. Ward.
Mrs. Ward
Mrs. Ward Vote
Vote Mr. Ward: -10, Mrs. Ward: -10
Don't vote Mr. Ward: 10, Mrs. Ward: -20
Don't Vote
Vote Mr. Ward: -20, Mrs. Ward: 10
Don't Vote Mr. Ward: 0, Mrs. Ward: 0
True or false: this agreement would increase utility for each spouse, compared to the Nash equilibrium from the previous part of the question.
