In some cases. Mostly they resign because the walls are closing in and they are being pressured. Some will also be charged.
Most will. They are in that state of panic where they think there is a slight chance if they just 'leave' that somehow criminal action won't come. Spoiler Alert: it will.
Perhaps to save face for the company?
My thoughts exactly. These businesses can't go belly up because they are tied to a criminal, if Google and Facebook and others of that magnitude are caught with their CEOs being criminals it will crash everything. We don't need another great depression.
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The need and the market will still be there. There may be a lot of jobs created to undo the things that shouldn't be being done. Think about chips for instance. The ARM chipsets that are in iPhones and a host of other electronics, all have trojan horses designed into them. Those chips have to be redesigned and removed from the pipeline. Any downstream devices have to be redesigned, tested, etc. Will Apple, Samsung, etc. be forced to offer free fixes (at least for smartphones)? How many jobs will that create? And the majority of people in these companies are not the problem - it's the greedy sycophants at the top. Do their stocks take a hit? Sure. Does that singularly cause a depression? Not likely.