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.
(..) ...will smash against Spartan shields. Xerxes' losses will be so great, his men so demoralized... ...he will have no choice but to abandon his campaign. We must consult the oracle. Trust the gods, Leonidas. I'd prefer you trusted your reason. Your blasphemies... (..)2006 300