Riddles

Riddle: Rational Pirates

  • Category : Math
  • Contributor : Josh
  • Rating: 3.28
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Can you solve this riddle?

There are five 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 superior to B, who is superior to C, who is superior to D, who is superior to E.

The pirates also follow strict rules of coin distribution, which are thus: the most senior pirate should propose a distribution of coins. The pirates, including the senior pirate, then vote on whether to accept this distribution. If the proposed allocation is accepted by a majority vote, it happens. 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.

In the event of a tie vote, the most senior pirate has the casting vote.

Pirates base their decisions on three factors, in order of priority:
First of all, each pirate wants to survive.
Second, each pirate wants to maximize the number of gold coins he receives.
Third, all things being equal, a pirate would prefer to throw the most-senior pirate overboard.

Determine the number of coins each pirate receives.

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