In Suzanne Collins’s The Hunger Games, the Capitol’s televised competition is called the Hunger Games.
The event forces two young tributes from each officially recognized district to fight in a controlled arena. The Capitol broadcasts the competition across Panem, turning violence into a spectacle and using it to remind the districts of their defeat in an earlier rebellion. The first novel follows the 74th Hunger Games, in which Katniss Everdeen and Peeta Mellark represent District 12.
The Reaping is the selection ceremony that chooses the tributes, not the competition itself. The Quarter Quell is a special edition held every 25 years, with altered rules. The Victory Tour takes place after a Games and is a ceremonial journey through the districts. These related terms are often confused because they belong to the same political system, but the annual arena event itself is the Hunger Games.