Pedantic kidding aside, if you owned several "arcades", what would you call the room they were in? An arcade arcade? Would you say "My arcade is full of arcades"?
You'd simply call them Arcadeseses (pronounced: ar-cades-iz-iz), adding the extra "es" for each machine.
For example, if you own 7 games, you would say "come on over and play my arcadeseseseseseseses!"
A careful listener could probably deduce how many Street Fighter and Mortal Kombat cabinets, sorry,
arcadeseses a person has by simply counting the "eses". You could also find the theoretical limit of them by adding up the total number of Mortal Kombat and Street Fighter sequels produced.
