rivalry (n.)

• antagonism
• antipathy
• collision
• competition
• competitiveness
• conflict
• contention
• contrariety
• contrariness
• controversy
• covetousness
• discord
• dispute
• dissension
• emulation
• enmity
• enviousness
• envy
• feud
• fractiousness
• friction
• gamesmanship
• hostility
• invidia
• jealousy
• negativeness
• obstinacy
• one-upmanship
• perverseness
• recalcitrance
• refractoriness
• repugnance
• strife
• striving
• struggle
• tug-of-war
• warfare