Question
Mr. and Mrs. Ward typically vote oppositely in elections and so their votes cancel each other out. They each gain 4 units of utility from
Mr. and Mrs. Ward typically vote oppositely in elections and so their votes "cancel each other out." They each gain 4 units of utility from a vote for their positions (and lose 4 units of utility from a vote against their positions). However, the bother of actually voting costs each 2 units of utility. The following matrix summarizes the strategies for both Mr. Ward and Mrs. Ward.
Mrs. Ward | |||
Vote | Don't Vote | ||
Mr. Ward | Vote | Mr. Ward: -2,Mrs. Ward: -2 | Mr. Ward: 2,Mrs. Ward: -4 |
Don't Vote | Mr. Ward: -4,Mrs. Ward: 2 | Mr. Ward: 0,Mrs. Ward: 0 |
The Nash equilibrium for this game is for Mr. Ward to and for Mrs. Ward to . Under this outcome, Mr. Ward receives a payoff of
units of utility and Mrs. Ward receives a payoff of
units of utility.
Suppose Mr. and Mrs. Ward agreed not to vote in tomorrow's election.
True or False: This agreement would increase utility for each spouse, compared to the Nash equilibrium from the previous part of the question.
True
False
This agreement not to vote a Nash equilibrium.
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