Probably just for fun. Lots of creatures play chasing games why should goldfish be any different?
Let's Chase Each Other Around the Room was created on 1984-07-14.
For fun sometimes they will chase each other around or do things with each other
Guinea Pigs will often chase each other to show an amount of affection... they will also go into heat and attempt to flirt with each other around 3-6 months of age...
The Fishes...
Yes so they can make friends with other fishes but as long as they don't hurt each other. Sharks that don't bite humans and other fishes they can be friends with humans and with fishes.
Well that totally means that you guys like each other. Usually in high school you tell each other you like them and in elementry you push each other around:)
they overlap onto each other
Because they like each other:]
Tetras may chase each other as a way to establish dominance, court a mate, or defend their territory within the group.
They chase each other around in their wheel-chairs, whack people with their walking sticks, and play bingo.
Blue tang fishes are semi aggresive, but they won't eat each other! It feeds on algea as well as smaller fishes. Its aggressiveness can be reduced if you feed it often with some sea weeds.
they start to chase each other and then claw each other