Your rival is named Rival and he's the same rival from Gold, Silver, and Crystal version. His official name however is Silver.
VS Mewtwo is not in Pokemon Stadium 2 instead a VS Rival mode was made for the game. The Rival is the rival from Gold, Silver and Crystal officially named Silver.
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in Pokemon yellow there is no Pokemon stadium
Your rival gets whichever Pokemon type yours is weakest to. ie you take the water, rival takes the grass.
Your rival will have Chikorita if you pick Totodile as your starter pokemon.
Pokemon Stadium Pokemon Stadium 2 Hey You, Pikachu! Pokemon Puzzle League Pokemon Snap
You actually get to name your rival. So, your rival is whoever you want him to be. The rival is just a strange character that happens to be eying Professor Elm's Pokemon.
Your rival is the red head named ???
The champion is your rival.
Lucario Riolu Swellow Starly Empoleon and Tentecruel
Pokemon stadium 2,yes
Pokemon Stadium is exclusive to the Nintendo 64 console.