Both companies have flourished in California and elsewhere under rules more liberal than those for taxicabs, allowing them to set their own rates, for instance. Now the state is considering having the California State Transportation Agency take over implementation and enforcement of those rules, as well as crafting new ones. A draft proposal to reform the PUC unveiled Monday calls for the Department of Motor Vehicles to oversee licensing, registration and evidence of insurance for ride-hailed drivers, while the California Highway Patrol would handle enforcement and “select investigations.” Both organizations are part of the state’s transportation agency.