Started this a while back and i still havent finished it but imma post while i have til now
Any Pokemon that faint are considered dead and must be either released or put into the PC, never to be used again.
You can only catch the first Pokemon you encounter in any new area/route. If it faints or runs, you're out of luck. No Pokemon for you. (This rule does not go into effect until you have received your first Pokeball from Prof. Birch. You don't have to worry about wasting your first encounters until you are actually capable of catching Pokemon.)
Every Pokemon you catch must be given a nickname. These next rules are optional, so I'm only posting the ones im doing. Optional Rules:
Species Clause. If the first Pokemon you encounter in a new area/route is a Pokemon you've already caught then you may catch a different Pokemon if you so wish.
As mercy rule, if the player runs into a Shiny Pokemon, the player may still catch it, regardless of whether or not it is the first encounter in the area.