The way this works is simple.
Each person takes it in turns to "own" a pokémon.
You then make a nickname for your "owned" pokémon.
Anyone who has a pokémon "owned" by somebody must give them the nickname of said pokémon.
I "Own" Abomasnow and name it SLUSHPUPPY
You may own more than one pokémon

Owned Pokémon:
Abomasnow = SLUSHPUPPY
Munchlax = Dr. Munch
Buizel = BUI BUI!
Charizard = Zard
Gardevoir = Gardey
Mudkip = Turdtree
Groudon = ?????
Lucario = Steel Brake

This is pretty obvious but...

Munchlax= Dr. Munch

Go, Dr. Munch, go!
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Dr. Munch is hungry! oh no! protect your children!

Like Rhythm, this is obvious.

I own my Buizel, uhh..... nicknamed BUI BUI!
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Favorite Pokémon: Buizel, Turtwig, Typhlosion, Lugia, Mudkip, Charizard, Zigzagoon, Floatzel, Torterra, Groudon, Linoone, and Meowth.
~ Owner of Pokémon Platinum ~

I'm not removing this from my sig until another Pokémon movie is in theaters stateside.

BUI BUI and Dr. Munch FTW!
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Dr. Munch is hungry! oh no! protect your children!

I own Gardevoir and i can't think of a nickname that wouldn't ruin her beauty.
lulz
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FAVORITE POKEMON: BUIZEL , GARDEVOIR , LUCARIO, DIALGA, LATIAS, PIPLUP, ARCEUS and LOPUNNY

Charizard nicknamed Zard

k I own Gardey the Gardevoir
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FAVORITE POKEMON: BUIZEL , GARDEVOIR , LUCARIO, DIALGA, LATIAS, PIPLUP, ARCEUS and LOPUNNY

I own a Mudkipz- it is named "Turdtree".
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Do you liek mudkipz?

Den don't be mean to him!
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Dr. Munch is hungry! oh no! protect your children!

so what are we supposed to do with our pokemon after we have chosen them?

Harvest their organs and sell them for beer money? (Family Guy references F T W)

I'd never do that to Gardey!!!!
lulz

Dr. Munch's stomach is so large, I could sell 1/16 of it and get like 500 beers.

??????????? ?
?????????

?????????????????????'???????????????????' ?

Yes, and I see your Buizel is named BUI BUI. How... surprising.

I has an unown F named upsilon (I actually have one, its hidden power is psychic type, and it is EV trained in speed and sp. atk)

I have a Unown ? i nicknamed it "?" due to its shape and coz i was wondering why the **** does it only know hidden powah!?!