Mr. and Mrs. Ward typically vote oppositely in elections and so their votes "cancel each other out." They each gain 24 units of utility from a vote for their positions (and lose 24 units of utility from a vote against their positions). However, the bother of actually voting costs each 12 units of utility. The following matrix summarizes the strategies for both Mr. Ward and Mrs. Ward. Mr. Ward Vote Vote Mrs. Ward Mr. Ward: -12, Mrs. Ward: -12 Don't Vote Mr. Ward: -24, Mrs. Ward: 12 The Nash equilibrium for this game is for Mr. Ward to Don't Vote Mr. Ward: 12, Mrs. Ward: -24 Mr. Ward: 0, Mrs. Ward: 0 and for Mrs. Ward to . Under this outcome, Mr. Ward receives a

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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Mr. and Mrs. Ward typically vote oppositely in elections and so their votes "cancel each other out." They each gain 24 units of utility from a vote for
their positions (and lose 24 units of utility from a vote against their positions). However, the bother of actually voting costs each 12 units of utility.
The following matrix summarizes the strategies for both Mr. Ward and Mrs. Ward.
Mr. Ward
Vote
Vote
Mrs. Ward
Mr. Ward: -12, Mrs. Ward: -12
Don't Vote Mr. Ward: -24, Mrs. Ward: 12
The Nash equilibrium for this game is for Mr. Ward to
payoff of
Don't Vote
Mr. Ward: 12, Mrs. Ward: -24
Mr. Ward: 0, Mrs. Ward: 0
units of utility and Mrs. Ward receives a payoff of
and for Mrs. Ward to
units of utility.
Under this outcome, Mr. Ward receives a
Transcribed Image Text:Mr. and Mrs. Ward typically vote oppositely in elections and so their votes "cancel each other out." They each gain 24 units of utility from a vote for their positions (and lose 24 units of utility from a vote against their positions). However, the bother of actually voting costs each 12 units of utility. The following matrix summarizes the strategies for both Mr. Ward and Mrs. Ward. Mr. Ward Vote Vote Mrs. Ward Mr. Ward: -12, Mrs. Ward: -12 Don't Vote Mr. Ward: -24, Mrs. Ward: 12 The Nash equilibrium for this game is for Mr. Ward to payoff of Don't Vote Mr. Ward: 12, Mrs. Ward: -24 Mr. Ward: 0, Mrs. Ward: 0 units of utility and Mrs. Ward receives a payoff of and for Mrs. Ward to units of utility. Under this outcome, Mr. Ward receives a
Suppose Mr. and Mrs. Ward agreed not to vote in tomorrow's election.
True or False: This agreement would decrease 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.
Transcribed Image Text:Suppose Mr. and Mrs. Ward agreed not to vote in tomorrow's election. True or False: This agreement would decrease 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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