Err... by making it irrelevant, since corrupts can't control you through force any longer?

Or, putting it another way, by internalizing corruption costs. Organizations that allow corruption and those voluntarily related to them will be the ones paying the costs of such corruption. Those unrelated to the such organizations are not touched by it.
In a monopoly like we live now, you cannot choose to cut your relations with the monopolist.

Btw, I'd argue that corruption is far from being the greatest issue we face. Actually, quite frequently, corruption is what saves people. In many situations, the ruthless application of the law would bring much worse consequences. For example, being able to bribe a corrupt cop in order not to go to jail for a joint is definitely better than actually having the law respected. I wonder how many business would have already been shut down if it weren't for corrupt public servants... Brazil for example would have no brothels if it weren't for corrupt cops!