A jewel theft ring consists of five members. In decreasing order of rank they ar
ID: 3121447 • Letter: A
Question
A jewel theft ring consists of five members. In decreasing order of rank they are the mastermind, the safecracker, the burglar, the lookout and the getaway car driver. Before getting out of "the business" forever, they pull off one last heist. It results in a supply of 27 perfect diamonds of equal value. The diamonds cannot be cut without ruining them, so they decide on the following democratic procedure to divide the loot among themselves. The lowest ranking member of the ring makes a proposal about how to split the loot, and all members of the ring vote on it. If the proposal is supported by at least half of the members, then the diamonds are divided as suggested. Otherwise, the proposer is "eliminated" (ie, killed) and the process is repeated in the smaller ring. Since this is the last "job", all of the jewel thieves want as much of the loot as they can get. Each one will vote against any proposal that does not guarantee more diamonds than they could get later in the process. All of the jewel thieves know that it is better to have fewer people who know their past, so they will also vote against a proposal if they are guaranteed to get the same number of diamonds later because it means there is one fewer potential informant alive. Suppose you are the getaway car driver. You know the other members of the ring well, and you know that they have perfect logic skills. What do you propose? What is the maximum number of diamonds that you can get?Explanation / Answer
Proposal: Kill the mastermind and the safecracker and divide the diamonds among the remaining 3 members.
The burglar and lookout definitely support this proposal because two of their opponents will be eliminated. So with this proposal each of the 3 members will get 9 diamonds. If they did not support this proposal, the next chance will be for lookout to prepare the proposal. He cannot suggest a better proposal and he will be eliminated. If the chance goes to burglar, he also will fail. Hence both burglar and lookout definitely support this proposal.
The maximum number of diamonds one can get = 9
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