BONUS QUESTION: PIRATES OF THE CARIBBEAN 1. Three ferocious old pirates are dividing their plunder (100 gold coins) before disbanding. No single coin can be subdivided. According to pirate code, pirate number 1 P1 suggests a sharing rule (for instance if P1 suggests (34, 33, 33), under this rule P1 gets 34 coins, P2 gets 33 and P3 gets 33). All three pirates vote by roll call on the proposal. If a majority (even a tie is enough) accept, then the division is carried out and the game ends. If the suggestion is not accepted then the rst pirate is thrown overboard (which is worse than getting no gold, because of the circling sharks) and P2 makes a proposal, which is subjected to majority vote, and so on. These pirates are crafty enough to perform backward induction, and so cranky that, whenever a pirate is indierent about voting for or against a proposal, he votes against it. Explain what happens and why