AC in America

[MrBlah]

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Is there automatically a group of rich samitarians that will take care of those people?

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No. Each individual will take care of these people in a way that she or he thinks is most effective within the bounds of societal norms. The market will offer protection from these sociopaths and the most effective solutions will stay in business while the others will disappear.

Right now, the government is forcing you to use the police (=solution X) to take care of the problem of having crazy people who try to hurt you in this society.

But the police is a pretty bad solution. If they had some competition, they would be forced to find ways to take better care of their customers while cutting costs in order to lower the price of their service. Like any other market.