AC axiom question

[hmkpoker]

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where people are marooned on islands and starving to death doesn't in any way "break" anarchocapitalist theory

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What if the situation does not involve dying but person A offered just a tiny cramp section of the island with one banana tree, while he has access to myriad of tropical foods and resources that allows utility growth which he denies to you?

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Note how this contrasts with the same situation in civilized society. A poor man in a shack is not going to steal from a rich man, mainly because the rich man has acquired security forces that will stop him.

Does the initial island dweller have any security? No? Then it looks like there's nothing preventing the newcomer from exercising partial ownership on the island.