This is called forum shopping and whether a court will accept such cases is always determined by the local law.
"That would invite all sorts of forum shopping and races to the courthouse."
The first stage is for the court to determine whether it has jurisdiction, where appropriate confronting the problem of forum shopping.
Therefore, forum shopping is discouraged and single proceedings are preferred.
This kind of forum shopping - seeking a more friendly legal jurisdiction for the case - is not uncommon.
"Otherwise, you'll have forum shopping," as people look for the states with the most generous welfare programs.
That's forum shopping, and the world is becoming quite a mall.
It is often used as a means to prevent forum shopping.
The same rule also limits to a large extent the practice of 'forum shopping'.
Nor do we want any abuse of the various national regulations in the form of forum shopping.