The card game in Final Fantasy 8 has many confusing rules, here is my attempt to explain some of them:
Open: You can see the other players cards
Same: If your card has the same facing numbers of at least two cards next to it
Plus: If your card has facing numbers with two other cards that add up to equal the same number
Elemental: If your card's element matches the one on the board all of it's numbers go up one, if not all of his numbers go down one
Trade Rules
One: The winner gets one card
Diff: The winner gets the difference in cards (example: 6 to 4 you get 2 cards)
All: The winner gets all the cards