1. Make sure that the two laptops have different names ... i.e.
Joe' Laptop
Bill's Lappie
2. If possible, (check w/ network administrator) set static IP addresses for both laptops. See post #8 here
http://www.sevenforums.com/network-sharing/311437-how-set-up-static-dns-ip-address.html
Open up a command prompt
http://www.sevenforums.com/tutorials/947-command-prompt.html
Type "ipconfig" without the quotes and hit return
The IPv4 Address is what you are likely being assigned by the dorm's router, say
192.168.1.14
That 14 is you... that DHCP range will typically be between say
192.168.0.2 and 192.168.0.254
or
192.168.1.2 and 192.168.1.254
Network administrators have different preferences on what happens on the networks they administer... some like assigned addresses, other prefer that the router assign as needed.
Problem arises when two folk's puters wanna use the same IP address. On my networks, I assign IP addresses for desktops and let router assign for laptops. So, again, ask your network admin how he wants you to solve the problem.