a long-term grudge or feud between artists in rap and hip-hop

In economics, a good is considered either rivalrous (rival) or nonrival. Rival goods are goods whose consumption by one consumer prevents simultaneous consumption by other consumers. Most goods, both durable and nondurable, are rival goods.

the act of competing as for profit or a prize; "the teams were in fierce contention for first place"

an intense confrontation, usually between two sports teams, that has grown out of a long tradition of playing each other

The act of rivaling, or the state of being a rival; a competition.

(noun): state of being in competition to reach or obtain something that only one can possess