the British Crown formally recognized American independence and ceded most of its territory east of the Mississippi River to the United States, doubling the size of the new nation and paving the way for westward expansion
The primary reason that Britain, France, and Russia formed a Triple Entente was "to respond to Germany's imperialism" which was born primarily from nationalism.
Okay, well there is many reasons but rome wanted to have multiple people to rule not just 1 or 2.... Monarchy never works so thats why in 509 BC Rome switched into a republic. Then they switched back in 27 BC to dictatorship....