Logic problem: How will the robbers divide the loot?
There are seven robbers who just stole 10 $100 bills. The robbers have a set order of dominance, and a democratic system to determine who gets how much money.
The highest ranking robber gets to decide how to divide up the money. All of the other robbers (excluding the leading one) then vote on whether they agree. If two-thirds or more agree, then the resolution passes and is put into effect. Otherwise, the leading robber is murdered (I forgot to mention that they are also serial killers). Then, the second-highest-ranking robber repeats the process.
Assume that all of the robbers will try to maximize the amount of money that they will receive. Also assume that if all other things are equal, the robbers will prefer to kill. As a side note, the money can only divided in units of 1 $100 bill.
How much money does each person receive?
This question is in the General Section. Responses must be helpful and on-topic.