Definition of rivalry noun from the Oxford Advanced American Dictionary

 

rivalry

 noun
noun
NAmE//ˈraɪvəlri//
 
(pl. rivalries)[countable, uncountable]
 
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a state in which two people, companies, etc. are competing for the same thing rivalry (with somebody/something) (for something) a fierce rivalry for world supremacy rivalry (between A and B) (for something) There is a certain amount of friendly rivalry between the teams. political rivalries sibling rivalry (= between brothers and sisters)
See the Oxford Advanced Learner's Dictionary entry: rivalry