4 ms·
what "following turns"? edit: to clarify, the only pirate that would have to consider being killed is the one making the offer. thus yes, offering yourself 0 i
by kmonad 11y ago
what "following turns"?
edit: to clarify, the only pirate that would have to consider being killed is the one making the offer. thus yes, offering yourself 0 is possible and in fact seems to be a requirement for the (one of the) stable solutions. But if I'm not most senior, I would never accept 0.
- the_af 11y agoThe game has turns in theory: each split proposal is one turn. The most senior pirate proposes a split; if it's not accepted, he gets killed and the next pirate proposes a split. That's the next "turn", assuming the first split gets rejected. Theoretically, a pirate could accept a seemingly inconvenient proposal if he evaluates that rejecting it would result in himself getting killed further down the line, when it's his own turn to propose a split. You're right that this never happens in the 5-pirate game as stated (I'm not sure about the general N-pirate, C-coins game). The pirates who are offered 0 coins reject the split, but they don't get to alter the result anyway.