Baccarat players do not play against each other. They don't play against the game either. Rather, they bet on outcomes of cards dealt between two hands- the player and the banker. To win the game, the player needs to correctly predict which hand returns a value of nine or eight before the other. Players may also bet on a tie- that the two hands will have the same total.
To win the big, players need to understand how the odds for various bets work. They need to understand the house edge and the probability of each bet ending in their favor.