The problem is that people think the job of the government is to "help" people. If people are bribing politicians it is because the politician is able to use the force of the government to give some kind of subsidy to the briber.
The solution is to realize that it is not the purpose of the government to help. The purpose is only to protect private property. This is the rule of law in the capitalist system. The solution would be for the government to be completely out of the business of helping, subsidizing or improving one thing over another.
And enforcing the rule of law is not "helping" because it is not giving advantage to one person over another. There is only the protection of everyone's property.