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Xachariah comments on Please don't vote because democracy is a local optimum - Less Wrong Discussion
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Erm, I don't feel you've explained it though. All you've reiterated is that voting is an expression of support for the model, without explaining how that is.
Also consider that voter turnout can be highest when meta level satisfaction is lowest. Voter turnout spikes right before revolutions and civil wars; this is exactly people saying that they consider the system illegitimate and want it scrapped.
This sounds like a Muhammad Wang fallacy. (Even if Muhammad is the most common given name in the world, and Wang the most common surname, it does not follow that Muhammad Wang is the most common full name.)
Perhaps the people doing the voting and the people doing the revolting are not the same people. The voters may be rationally concerned to hold the system together because they correctly surmise that the revolutionaries are about to tear it apart.
It seems unlikely that the increases in voter turnout is comprised primarily of people happy with the system. 1930s Germany jumped to 85% participation before it became a fascist state. Iran jumped from 45% turnout in 75 to 90% turnout during the 79 revolution.
There's no room left in the demographic pie for non-voting revolutionaries at the numbers we're talking about.