1. Individual Problems 15-1 Mr. Ward and Mrs. Ward typically vote oppositely in elections, so their votes "cancel each other out." They each gain 10 units of utility from a vote for their positions (and lose 10 units of utility from a vote against their positions). However, the bother of actually voting costs each 5 units of utility. The following matrix summarizes the strategies for both Mr. Ward and Mrs. Ward. Using the given information, fill in the payoffs for each cell in the matrix. For example, in the top left cell, fill in the payoffs for Mr. Ward and Mrs. Ward if they both vote. (Hint: Be sure to enter a minus sign if the payoff is negative.) Mr. Ward Vote Don't Vote Mr. Ward: Mr. Ward: Vote Mrs. Ward Mrs. Ward Mrs. Ward Mr. Ward: Mr. Ward: Don't Vote Mrs. Ward Mrs. Ward
1. Individual Problems 15-1 Mr. Ward and Mrs. Ward typically vote oppositely in elections, so their votes "cancel each other out." They each gain 10 units of utility from a vote for their positions (and lose 10 units of utility from a vote against their positions). However, the bother of actually voting costs each 5 units of utility. The following matrix summarizes the strategies for both Mr. Ward and Mrs. Ward. Using the given information, fill in the payoffs for each cell in the matrix. For example, in the top left cell, fill in the payoffs for Mr. Ward and Mrs. Ward if they both vote. (Hint: Be sure to enter a minus sign if the payoff is negative.) Mr. Ward Vote Don't Vote Mr. Ward: Mr. Ward: Vote Mrs. Ward Mrs. Ward Mrs. Ward Mr. Ward: Mr. Ward: Don't Vote Mrs. Ward Mrs. Ward
Chapter8: Game Theory
Section: Chapter Questions
Problem 8.7P
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![1. Individual Problems 15-1
Mr. Ward and Mrs. Ward typically vote oppositely in elections, so their votes "cancel each other out." They each gain 10 units of utility from a vote for
their positions (and lose 10 units of utility from a vote against their positions). However, the bother of actually voting costs each 5 units of utility. The
following matrix summarizes the strategies for both Mr. Ward and Mrs. Ward.
Using the given information, fill in the payoffs for each cell in the matrix. For example, in the top left cell, fill in the payoffs for Mr. Ward and Mrs.
Ward if they both vote. (Hint: Be sure to enter a minus sign if the payoff is negative.)
Mr. Ward
Vote Mr. Ward:
Don't Vote Mr. Ward:
Vote
Mrs. Ward
Mrs. Ward
Mrs. Ward
Mr. Ward:
Mr. Ward:
Don't Vote
Mrs. Ward
Mrs. Ward](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe8648ba9-73fc-4208-b995-9a7d6ca7f29b%2F9c8cd851-972a-42f3-8677-7ade93d5da24%2Fv1r5ur_processed.png&w=3840&q=75)
Transcribed Image Text:1. Individual Problems 15-1
Mr. Ward and Mrs. Ward typically vote oppositely in elections, so their votes "cancel each other out." They each gain 10 units of utility from a vote for
their positions (and lose 10 units of utility from a vote against their positions). However, the bother of actually voting costs each 5 units of utility. The
following matrix summarizes the strategies for both Mr. Ward and Mrs. Ward.
Using the given information, fill in the payoffs for each cell in the matrix. For example, in the top left cell, fill in the payoffs for Mr. Ward and Mrs.
Ward if they both vote. (Hint: Be sure to enter a minus sign if the payoff is negative.)
Mr. Ward
Vote Mr. Ward:
Don't Vote Mr. Ward:
Vote
Mrs. Ward
Mrs. Ward
Mrs. Ward
Mr. Ward:
Mr. Ward:
Don't Vote
Mrs. Ward
Mrs. Ward
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