SchrodingersFinch
New Member
My reasoning is based on these assumptions:
Each banker values his own life more than anything. I assume they would choose the death of others over money, because you mentioned the thirst for blood before the lack of generosity, and said:
If there are three bankers they know what will happen if the first proposal is rejected. That is why banker #2 must accept the proposal of banker #3. Banker #3 will of course take all the money.
If there are four bankers, #3 gets the best outcome if he rejects #4's proposal. Since #1 and #2 are so bloodthirsty, they'll also reject #4's proposal no matter how much he offers them. So #4 knows he's screwed.
Which leads to five bankers. #4 will want to live so he'll accept any proposal. #5 will now have to persuade only one banker to accept his proposal. But he can't do that because the bankers' thirst for blood is greater than their greed. Therefore #5 and #4 will die no matter what and #3 will get all the money.
If I'm wrong, could you say whether it's my reasoning or my assumptions.
Each banker values his own life more than anything. I assume they would choose the death of others over money, because you mentioned the thirst for blood before the lack of generosity, and said:
If there are two bankers banker #1 (the last one making the proposal) wins. He simply rejects the proposal of banker #2 who will then be assassinated, leaving all the money to banker #1.That "bloodthirsty" means "will kill if given the opportunity" -> yes
If there are three bankers they know what will happen if the first proposal is rejected. That is why banker #2 must accept the proposal of banker #3. Banker #3 will of course take all the money.
If there are four bankers, #3 gets the best outcome if he rejects #4's proposal. Since #1 and #2 are so bloodthirsty, they'll also reject #4's proposal no matter how much he offers them. So #4 knows he's screwed.
Which leads to five bankers. #4 will want to live so he'll accept any proposal. #5 will now have to persuade only one banker to accept his proposal. But he can't do that because the bankers' thirst for blood is greater than their greed. Therefore #5 and #4 will die no matter what and #3 will get all the money.
If I'm wrong, could you say whether it's my reasoning or my assumptions.