Vote Or Not To Vote

Mr. and Mrs. Ward typically vote oppositely in elections and so their votes cancel each other out.b 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.

Suppose Mr. and Mrs. Ward agreed not to vote in tomorrow’s election. Would such an agreement improve utility? Would such an agreement be an equilibrium?

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