Question

. Mr. and Mrs. Ward typically vote oppositely in elections and so their votes “cancel each other out.” They each gain two units of utility from a vote for their positions (and lose two units of utility from a vote against their positions). However, the bother of actually voting costs each one unit of utility. Diagram a game in which they choose whether to vote or not to vote. Then, supposing that Mr. and Mrs. Ward agreed not to vote in tomorrow’s election, would this agreement improve utility? Would such an agreement be an equilibrium? Why or why not?

Answer 1

Page Answer Assume my. also mys. ward regularly vote oppositely in races with the goal that their votes of fest each other. They pick up a utility focuses every when they vote in favour of their position and lose two utility when they of the m votes of when they vote against their positions the Additionally, making costs them one utility point each table shows the decision-making They are following procesi mys. ward Mr world To vote I not to vote to vote (-1,-1) Nash Pauilibrium (2,-2) Not to vote coo)

Page when my ward chooses to vote, mrs. chooses to vote as well Because it gives hera higher pay off (-13-2), see horizontally when my ward chooses not to vote, mys, ward chooses to vote because it gives her a higher pay-off (-17-2) se e vertically Mis ward has a dominant strategy "to vote" as the chooses to vote corespective of what my ward chooses. when mos. ward chooses to vote, my, ward chooses to vote as well because it gives hima higher pay-off (-1,7-2, see vertically when mys. ward chooses not to vote, my, wandchooses to vote be cause at gives him a higher pay-off (270, see vertically) My world has a dominant strategy "to vote" as he chooses to vote irrespective of what mrs.world chooses

page & Thus, the wash equiritium is cto note, to vote), where Both my, and mrs word gets a pay-off of minus 1 unit each (1,-1) ne off chance that Both my. ful then move, mys Picks note to vote , at the point each will appreciate a moderately higher result of Coo) then when they vote and get (-1,-1) consequently, it they pick not to vote, this plan would enhance utility with out a doubt, this system of (note to vote, not to vote) would nota han mony Procedure as a result of the detaine's issue. every player can get a higher result By going astry from their pondomination methodology, Howeven they don't do as such and Just acquire a lower pay-off.