It's interesting that the socially optimal level of anarchy might not be zero. Society may have some socially sub-optimal institutions so deeply entrenched, which have contorted the system so much to remain in place, that no socially permitted methods will be able to get rid of them, even though it is socially preferable (Pareto) to do so. In fact, such entrenchment of institutions may be a natural progression of society.
How can we induce the socially optimal level of anarchy? Licenses (a get out of jail free card)? Rolling a get out of jail free die at trial? Or do nothing, hoping that society naturally breeds the optimal level of "patriots" willing to sacrifice it all?
How can one determine the optimal level of anarchy? This may be easier: perhaps a historical study or survey between different countries or if all else fails, trial and error, measuring GDP or some other measure of social happiness.
Natural disasters do inject some anarchy into society, though probably not a "socially optimal" amount.
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