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.
(..) Immediate seating, no waiting. Ladies and gentlemen, Objections have been raised... They should be raised. Does that look safe to you? Part of Thomas Edison's smear campaign against Mr. Tesla's superior alternating current. We have asked Mr. Tesla to reconsider. Which he will not! (..)2006 The Prestige