emulation

noun3

1. •
   The endeavor or desire to equal or excel someone else in qualities or actions.

   • a great figure who is worthy of respect and emulation
2. •
   Execution of a program or other software designed for a different system, by simulating parts of the other system.
3. •
   (no longer used) Jealous rivalry; envy; envious contention.

   • Scarce two gentlemen dwell together in the country […] , but there is emulation betwixt them and their servants, some quarrel or some grudge betwixt their wives or children […] — 2001