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No, the point being made is there is no 'equilibrium' because the game is not repeated. Equilibrium meaning 'if everyone votes this way, there is no benefit fo
by sago 11y ago
No, the point being made is there is no 'equilibrium' because the game is not repeated.
Equilibrium meaning 'if everyone votes this way, there is no benefit for any individual to vote differently' - that doesn't apply when the pirates are trying to determine what to vote for the one and only time they'll ever vote on this question, not knowing what anyone else will be voting.
- cousin_it 11y agoThe idea of Nash equilibrium isn't just for repeated games, in fact it was invented for one-shot games. (Now I understand why you keep mentioning "infinite games"...)
- sago 11y agoIt isn't, but it requires knowledge of the other strategies: there is at least a 'starting' strategy. That isn't the case here. Which is why you've been unable to express your disagreement with the puzzle without resorting to language of 'changing' votes, or assuming that you know what other people are going to vote. None of which are reasonable assumptions here.