There are 5 pirates, they must decide how to distribute 100 gold coins among them. The pirates have seniority levels, the senior-most is A, then B, then C, then D, and finally the junior-most is E.

Rules of distribution are:

- The most senior pirate proposes a distribution of coins.
- All pirates vote on whether to accept the distribution.
- If the distribution is accepted, the coins are disbursed and the game ends.
- If not, the proposer is thrown and dies, and the next most senior pirate makes a new proposal to begin the system again.
- In case of a tie vote the proposer can has the casting vote

Rules every pirates follows.

- Every pirate wants to survive
- Given survival, each pirate wants to maximize the number of gold coins he receives.

**What is the maximum number of coins that pirate A might get?**

**Answer:**

The answer is 98 which is not intuitive.

A uses below facts to get 98.

- Consider the situation when A, B and C die, only D and E are left. E knows that he will not get anything (D is senior and will make a distribution of
**(100, 0)**. So E would be find with anything greater than 0. - Consider the situation when A and B die, C, D and E are left. D knows that he will not get anything (C will make a distribution of
**(99, 0, 1)**and E will vote in favor of C). - Consider the situation when A dies. B, C, D and E are left. To survive, B only needs to give 1 coin to D. So distribution is
**(99, 0, 1, 0)** - Similarly A knows about point 3, so he just needs to give 1 coin to C and 1 coin to E to get them in favor. So distribution is
**(98, 0, 1, 0, 1)**. - Puzzle | Pirates and Gems
- Puzzle | Nineteen Pirates and the King
- Puzzle 62 | Gold or Silver
- Puzzle 4 | (Pay an employee using a 7 units gold rod?)
- Puzzle | Bag of Coins
- Puzzle | 3 Glass and 10 Coins
- Puzzle 11 | (1000 Coins and 10 Bags)
- Puzzle | Guess the total number of coins
- Puzzle 39 | (100 coins puzzle)
- Puzzle 24 | (10 Coins Puzzle)
- Optimal Strategy for a Game | Special Gold Coin
- Minimum number of cuts required to pay salary from N length Gold Bar
- Puzzle 51| Cheryl’s Birthday Puzzle and Solution
- Puzzle 81 | 100 people in a circle with gun puzzle
- Puzzle 34 | (Prisoner and Policeman Puzzle)
- Puzzle 85 | Chain Link Puzzle
- Puzzle 15 | (Camel and Banana Puzzle)
- Puzzle | 3 Priests and 3 devils Puzzle
- Puzzle 29 | (Car Wheel Puzzle)
- Puzzle | Elevator Puzzle

The idea is based on the fact that what B will distribute if A dies (B would always want A to die). If A gives more coins to 2 people than B would have given, A wins.

**References:**

http://en.wikipedia.org/wiki/Pirate_game

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