Pet pirata je došlo do 100 zlatnika i moraju podijeliti plijen. Svi gusari su iznimno inteligentni, podmukli, željni krvi i sebični (osobito kapetan).
Kapetan uvijek predlaže raspodjelu plijena. Svi gusari glasuju o prijedlogu, a ako polovica posade ili više oda "Da", plijen se dijeli kako je predloženo, budući da niti jedan gusar ne bi bio spreman suprotstaviti se kapetanu bez nadmoćne sile na svojoj strani. .
Ako kapetan ne uspije dobiti podršku barem polovice svoje posade (koja uključuje i njega samog), prijeti mu pobuna, a svi gusari će se okrenuti protiv njega i natjerati ga da hoda po dasci. Pirati počinju ispočetka sa sljedećim starijim piratom kao kapetanom. Gusari razmišljaju optimalno, i stoga će glasati protiv svakog prijedloga koji im nudi manje ili jednako novčića nego ono što mogu dobiti kasnije (s nekim drugim kapetanom)
Koliki je najveći broj novčića koje kapetan može zadržati bez opasnosti za život?
Five pirates have obtained 100 gold coins and have to divide up the loot. The pirates are all extremely intelligent, treacherous, blood-thirsty and selfish (especially the captain).
The captain always proposes a distribution of the loot. All pirates vote on the proposal, and if half the crew or more go "Aye", the loot is divided as proposed, as no pirate would be willing to take on the captain without superior force on their side.
If the captain fails to obtain support of at least half his crew (which includes himself), he faces a mutiny, and all pirates will turn against him and make him walk the plank. The pirates start over again with the next senior pirate as captain. Pirates think optimally, and therefore will vote against any proposal that offers them less or equal coins than what they can get later (with some other captain).
What is the maximum number of coins the captain can keep without risking his life?
[lang = hr]
Pet pirata je došlo do 100 zlatnika i moraju podijeliti plijen. Svi gusari su iznimno inteligentni, podmukli, željni krvi i sebični (osobito kapetan).
Kapetan uvijek predlaže raspodjelu plijena. Svi gusari glasuju o prijedlogu, a ako polovica posade ili više oda "Da", plijen se dijeli kako je predloženo, budući da niti jedan gusar ne bi bio spreman suprotstaviti se kapetanu bez nadmoćne sile na svojoj strani. .
Ako kapetan ne uspije dobiti podršku barem polovice svoje posade (koja uključuje i njega samog), prijeti mu pobuna, a svi gusari će se okrenuti protiv njega i natjerati ga da hoda po dasci. Pirati počinju ispočetka sa sljedećim starijim piratom kao kapetanom. Gusari razmišljaju optimalno, i stoga će glasati protiv svakog prijedloga koji im nudi manje ili jednako novčića nego ono što mogu dobiti kasnije (s nekim drugim kapetanom)
Koliki je najveći broj novčića koje kapetan može zadržati bez opasnosti za život?
[/lang]
[lang = en]
Five pirates have obtained 100 gold coins and have to divide up the loot. The pirates are all extremely intelligent, treacherous, blood-thirsty and selfish (especially the captain).
The captain always proposes a distribution of the loot. All pirates vote on the proposal, and if half the crew or more go "Aye", the loot is divided as proposed, as no pirate would be willing to take on the captain without superior force on their side.
If the captain fails to obtain support of at least half his crew (which includes himself), he faces a mutiny, and all pirates will turn against him and make him walk the plank. The pirates start over again with the next senior pirate as captain. Pirates think optimally, and therefore will vote against any proposal that offers them less or equal coins than what they can get later (with some other captain).
What is the maximum number of coins the captain can keep without risking his life?
[/lang]
