rivalry

noun, plural ri·val·ries.

1. the action, position, or relation of a rival or rivals; competition: rivalry between Yale and Harvard.
2. an instance of this.

noun plural -ries

1. the act of rivalling; competition
2. the state of being a rival or rivals

n.

1590s; from rival + -ry. Shakespeare has rivality (“Antony and Cleopatra”), but from the secondary sense of the root word and meaning “partnership, equality in rank.”

n.

1. The state or condition of competition or antagonism.