Most famous example is called the “cobra effect.” In the 1800’s some towns in India had a problem with cobra infestation, so the governement offered a bounty for dead cobras.
People started farming cobras to collect the bounty.
Eventually too many dead snakes were being turned in, so the government stopped paying. As a result, the newly made “cobra farmers” just released all the cobras on to the streets, doubling the population.