emulation
nounThe act of attempting to equal or excel in qualities or actions; rivalry; desire of superiority, attended with effort to attain to it; generally in a good sense, or an attempt to equal or excel others in that which is praise-worthy, without the desire of depressing others. Romans 11:14. In a bad sense, a striving to equal or do more than others to obtain carnal favors or honors. Galatians 5:20.