Do you think chasing them will stop the next one from doing the same? The funny thing about people is we reproduce! There's new ones of us springing up out of the woodwork all of the time. A constant stream of new potential criminals.
Crime is fixed by societal, political, and economic change. By thinking big picture. Not by throwing adrenaline junkie cops after adrenaline junkie thieves. Not by risking the public's safety, and incurring great expense in fuel, training, wages, insurance, and vehicular wear at the same.
People generally commit crime because of their material conditions. You don't fix a bad guy with a gun bike by using a good guy with a gun bike. You do it by preventing the need for the crime to be committed in the first place. Preventative measures instead of reactive measures. More social workers, less cops.