The smurf's a Tetra Master you ask?!
Just kidding.
Really its simpler than Triad once you get the hang of it. The cards stats are the 4 numbers/letters on its face, and this determines the outcome of the two cards dueling. Stats are determined based on the card, but can grow as you use it.
1st # = attack power, from 0 to F.
2nd # = type of attack where P = direct, M = magic, X = both, A = lowest opposing defense stat
3rd # = defense to P cards
4th # = defense to M cards
Lets say your opponents card is 3P30, and your card is 1M30. Your card wins. Why? Because you have 1 Magic and the opponent has 0 M Defense.
I forget what happens when both cards win the attack. In a case of 3P30 vs 2M20 for example. Probably the card with the highest attack value.
One more thing, which is, if you take an opposing card, any other opposing cards around it that the initial one has arrows to is also captured. Since this also applies to you, its usually not a good idea to lay your cards touching each other.