He 'campaigned for president/governor/mayor'. = He 'campaigned' for the presidency/governorship/mayoralty. [=he tried to be elected president/governor/mayor]
The group launched/mounted/led a 'campaign' to protect the area from commercial development.
The university is organizing a 'campaign' to attract a more diverse student population.
(..) Yeah! Yeah. Jake, it's crazy here. It's full mobilization. They're rigging the shuttle as a bomber. They've got these huge pallets of mine explosives. It's for some kind of shock-and-awe campaign. Fricking daisy cutters! Quaritch has taken over. He's rolling, and there's no stopping him. (..)2009 Avatar