In GTA Liberty City Stories, the company is working with the locals to ban motorcycles. This is why three years later, in GTA III, there are no motorcycles in the city. Rockstar Games could not properly code motorcycles before the game's release, so they needed a scapegoat as to why motorcycles did not appear. Maibatsu is based off of the real life Japanese motorbike manufacturer Daihatsu, giving a satirical edge to the company's anti-bike activism.
The newspaper story about the motorcycles. Note the highlighted section, which is where Maibatsu are mentioned.