Or put it another way: However, from round 9 and up, there are no sure gold distribution, so bribing any pirate will work, reducing the limit that was present in the earlier rounds. So for round 10, is as effective as That itself isn't an answer, but it does mean that we are much less restricted in the subsequent rounds. See I was thinking the answer was 8. By the time you get to the 8th pirate three will get gold and the pirate that was just newly added will value his life more than gold.
Therefore the three pirates and the one that was just added that values his life will vote in favor. The other four pirates will vote against. The vote will be even so the newly added pirate will live. After that when you get to the ninth pirate the vote will be 5 to 4 meaning the ninth pirate will always be killed so the max of pirates will be 8.
Does that make sense? Well, if your ship has 8 pirates spots, any number of pirates on board will result in a vote where everyone will survive. However, if there are exactly 10 pirates, as describe in the first answer, logic will prevail and no one will die.
So if the question is "What is the maximum number of pirates that can be on board and survive when the vote come? Thanks for correcting me. I'm now convinced there is indeed no upper limit.
If we take n to be the previously highest known sustainable number of pirates starting at 8 , then 2n-6 is also sustainable. The reason is that since the first n pirates are safe, n-3 will vote against you'll bribe 3 , which means you need to get at least n-3 votes yourself, which means there need to be 2n-6 pirates. And the second half will indeed support you because it means they get to stay alive.
So sustainable numbers are 1 through 8, 10, 14, 22, 38, 70, , etc. I'm pretty sure other numbers don't work. For instance, if there are 20 pirates, P20 can only bribe 3 of the first 14, so 11 will definitely vote against him and he can only get support from at most 9 including himself.
I think you are correct for higher numbers of pirates, but these particular examples are wrong. If you accept that the distribution for P7 was the only optimal one, we can see this is also true for P8 and otherwise we'll need to go further back. P1, P3 and P5 will not give P8 their support even if they get one coin, because they will also get one coin in the next round and they prefer P8 being dead to being alive. The only pirates who will give P8 their support for a single coin are P2, P4 and P6, because in the next round they would get nothing.
It seems that P10 can distribute the 3 coins among the first 8 pirates, but needs to avoid P2, P4 and P6 because they can kill P9 and P10 and still get a coin from P8. The idea is still only to demonstrate that from that point on, we can spend the gold in many ways. It's 8 if a tie results in no pirates walking the plank, otherwise 7 with 1 coin given to three different pirates, but not the pirate distributing. Logic follows neutralizing the the votes against, and knowing the distributor will vote to save his life.
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Become a Redditor and subscribe to one of thousands of communities. HomeworkHelp submitted 1 year ago by [deleted]. Okay, it's about pirates. This one is different then 5 pirates and pieces of gold. There are 3 pieces of gold.
The pirates value scale looks like this. Okay here's the question. What is the maximum number of pirates that could be on the ship? Want to add to the discussion? Because we place a high value on quality products and customer care you receive the one-on-one attention your project deserves and receive essays with the quality you expect.
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