Source : WordNet®

dogfight
     n 1: a fiercly disputed contest; "their rancor dated from a
          political dogfight between them"; "a real dogfight for
          third place"; "a prolonged dogfight over their rival
          bids for the contract"
     2: an aerial engagement between fighter planes
     3: a violent fight between dogs (sometimes organized illegally
        for entertainment and gambling)
     v 1: arrange for an illegal dogfight
     2: engage in an aerial battle with another fighter plane