First of all, starting from the fifth, because he is the safest, there is no risk of being thrown into the sea, so his strategy is also the simplest, that is, all the best people in front are dead, so he can get 100 gold coins alone.

Next, look at old four. His chances of survival depend entirely on the existence of others in front, because if all the pirates from the boss to the old one feed sharks, then in the case of only the old four and the old five, no matter what distribution plan the old four puts forward, the old five will definitely vote against it and let the old four feed sharks and take all the gold coins for himself. Even if the fourth tries to please the fifth one in order to save his life, and puts forward such a scheme as (0, 0, 0, 100), the fifth one may think it is dangerous to keep the fourth one and vote against it, so that the shark can be fed. Therefore, the rational fourth should not take such a risk and pin the hope of survival on the random selection of the fifth. Only by supporting his mistress can he absolutely guarantee his life.

Let's look at Lao San again. After the above logical reasoning, he will put forward such a distribution scheme as (0,0, 100,0,0), because he knows that even if the third child gets nothing, he will unconditionally support him and vote for him, so if he adds his own 1 vote, he can get100 gold coins.

But the second child also knows the allocation scheme of the third child through reasoning, so he will put forward the scheme of (0,98,0, 1, 1). Because this scheme is relative to Yu Laosan's distribution scheme, the fourth and fifth can get at least 1 gold coin. Rational old four and old five will naturally think that this plan is more beneficial to them, support the second one, and don't want the second one to go out and be allocated by the third one. So the second child can get 98 gold coins.

It's a pity that the boss one piece is not a fuel-efficient lamp. After some reasoning, I also understand the distribution plan of the second child. The strategy he will take is to give up the second child, give the third child 1 gold coin, and give the fourth child or the fifth child two gold coins at the same time, that is, put forward the distribution scheme of (97,0, 1, 2,0) or (97,0, 1, 0,2). Because the boss's distribution scheme can make the old three, the old four or the old five get more benefits, then they will vote for the boss, plus the boss's own 1 vote, and 97 gold coins can easily fall into the boss's pocket.