求教:弱问一道开放性试题的解题思路

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大三公共经济学课的一道题：

A group of ten shipwrecked individuals(identical and selfish)wash up on an isolated tropical island. The island has an endless supply of coconuts which can be collected at a constant cost (of foregone leisure)per coconut. The island also has a poisonous snake. The snake can not be killed and will bite one person each day unless it is fed one coconut per day.The bite is painful . The people derive utility from coconuts, lesure and security from the snake . Describe how you would expect this island economy to develop and explain why.

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