### Pirate's Dilemna

Posted:

**Mon Oct 03, 2016 6:58 am UTC**There are 5 rational pirates, A, B, C, D and E. They find 100 gold coins. They must decide how to distribute them.

The pirates have a strict order of seniority: A is senior to B, who is senior to C, who is senior to D, who is senior to E.

The pirate world's rules of distribution are thus: that the most senior pirate should propose a distribution of coins. The pirates, including the proposer, then vote on whether to accept this distribution. In case of a tie vote, the proposer has the casting vote. If the distribution is accepted, the coins are disbursed and the transaction ends. If not, the proposer is thrown overboard from the pirate ship and dies, and the next most senior pirate makes a new proposal to begin the system again.

Pirates base their decisions on three factors with priorities in this order: First of all, each pirate wants to survive. Second, given survival, each pirate wants to maximize the number of gold coins each receives. Third, each pirate would prefer to throw another overboard, if all other results would otherwise be equal. The pirates do not trust each other, and will neither make nor honor any promises between pirates apart from a proposed distribution plan that gives a whole number of gold coins to each pirate.

How much gold can pirate A distribute to each pirate to ensure that he receives the maximum gold possible (without dying)?

The pirates have a strict order of seniority: A is senior to B, who is senior to C, who is senior to D, who is senior to E.

The pirate world's rules of distribution are thus: that the most senior pirate should propose a distribution of coins. The pirates, including the proposer, then vote on whether to accept this distribution. In case of a tie vote, the proposer has the casting vote. If the distribution is accepted, the coins are disbursed and the transaction ends. If not, the proposer is thrown overboard from the pirate ship and dies, and the next most senior pirate makes a new proposal to begin the system again.

Pirates base their decisions on three factors with priorities in this order: First of all, each pirate wants to survive. Second, given survival, each pirate wants to maximize the number of gold coins each receives. Third, each pirate would prefer to throw another overboard, if all other results would otherwise be equal. The pirates do not trust each other, and will neither make nor honor any promises between pirates apart from a proposed distribution plan that gives a whole number of gold coins to each pirate.

How much gold can pirate A distribute to each pirate to ensure that he receives the maximum gold possible (without dying)?