A message keeps appearing on my computer
that say another computer on this network has
the same IP address as this computer. I don't
have another computer. Could this be someone
using my IP address. What can I do?

If you are not on a network and you receive this message your best option would be to contact your ISP.
If you have a wired and wireless nics make sure they are not both statically set to the same ip or that one is set static and one dhcp but they are both getting the same ip.
Do you have a Wireless Router? If so is it password protected?
Open Windows Command Prompt As ADMIN > Then Type IPCONFIG /RENEW
If Your IP ADDRESS Is Dynamic And Not Static This Will Change Your Current IP ADDRESS.
ZIEX it is not always true you get a different ip address with /renew. This also doesn't address the issue.
Yes, but an IPCONFIG /ALL would be handy so we can see if he is using DHCP or not. There is just not enough to go on. I suspect he is using WiFi and a Neighbor is steeling WiFi from him. Just a hunch but even then either he or his Neighbor is using a static IP some how.
It could also just be another IP device like a printer that is causing the problem too.
