Hobbes, Rousseau were effectively both trying to solve the "tragedy of the commons" problem with political collaboration. Hobbes is widely misunderstood by (romantic, naive, libertarian) fools to have said that absent a powerful soverign, life is "nasty brutish and short". What he more accurately said is that, "an unmanaged commons is nasty bruitsh and short" -- to use that kind of language
Rousseau, to the same romantic strain is widely misunderstood to have said that 'the unmanaged commons' is a delight. Instead, he basically said politically community isnt that required anyway, and if you're in trouble, just run away.
In either case, the tragedy of the commons issue is well known in other guises throughout the history of philosophy