Three city councilors (Ann, Bill, Carol) are on whether to give themselves a pay

Question

Three city councilors (Ann, Bill, Carol) are on whether to give themselves a pay raise. The raise is worth $20 dollars, but each who votes for the raise incurs a cost of voter resentment equivalent to a loss thousand dollars. The outcome will be decided by the simple majority rule: will get a raise if at least two vote YES. Draw a game tree to illustrate this situation. assume they vote sequential phabetical order: Ann goes first; Bill follows, and councilors. Therefor is the last to vote. councilor votes by saying YES or NO in front of other councilors.

Explanation / Answer

A) First voter says Yes,

Second voter says Yes again

Third voter will say No,

Beacuse third vote is not needed to get pay raise, So each first and second voter got 19,000 as profit each, but third voter got full 20,000 as profit with no voter resentment

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