Connecting two home LANS?

I wonder if someone would mind taking a shot at this for me...

My neighbor in the apartment next to me and I would like to connect our
LANs so we can do some gaming and see each other's shares - Internet
access neither required or desired.

We each have broadband connection with routers issuing IPs to the
machines on our individual networks ...

One with the range 192.168.2.xxx
Other with the range 192.168.123.xxx

We have CAT5 between the two places and several basic hubs and a cheapy
home networking switch available for our use.

Is there a simple way to connect these two LANs so the machines can see
each other?

Thanks for any help.