Flatter Me

From BoardGameGeek:

Flatter Me is a compliment battle card game for two players that makes giving and receiving compliments a little easier - by turning compliments into a competition! This quick-to-learn, family-friendly battle of kind words takes 15 to 30 minutes to play. As in the classic card game War, each round, both players simultaneously reveal the top card from their stack. If your revealed card best suits your opponent's personality, they take both cards; if their card best suits your personality, you get both! In the event of a tie where both cards fit both players or neither card is a good fit, draw three more cards and reveal the fourth. Winner takes all. Repeat until the tie is broken! Once both stacks are gone, whoever received the most compliment cards wins.