rsync to really synchronize

Hello,

I use two accounts. I'd like that whenever I do a modification on one
account it is reflected on the other. In case of conflict, the most
recent file would be chosen.

I think rsync is appropriate for that. But in tutorials or docs,
examples always consider asymmetric hosts, i.e. one source and one
target. Whereas in my case the tow hosts are equivalent. Any help?

Thanks a lot,

David.