fight
a fight
That form of combat is called "Jousting"
a fight
Duel
This would be a fight, a duel, a battle, a joust, a tilt, a contest, or a match. Use a search engine and type in "synonym for combat" to get a longer list of words.
A duel is a fight between two people
Knights who demonstrated their fighting skills in contests were often called tournament knights. Tournaments were events where knights competed against each other in various combat activities to showcase their prowess and skill.
Any communication between two people can be called a message.
A duel is a fight between two people
a contest betwwen two people is called a match
There is such a flight simulator game that offers a dogfight between two people or the computer. The game is called Microsoft Combat Flight Simulator. The game has fairly good reviews and is best played with a joystick.