The Most Intelligent Prince

A king wanted his only daughter to get married with the smartest of 3 highly intelligent young princes. So the king's wise men devised an intelligence test.

The princes are gathered in one room and they sit in front of each other. They are shown 2 black and 3 white hats. Then they are  blindfolded, and every prince put on one hat. Other hats are hidden in another room.

The king tells them that the first prince who guesses the color of the hat will marry the princess. The only condition is not to put off the hat. If one prince gives wrong answer he will die. The blindfolds are then removed.

You are one of the princes. You see 2 white hats on the other princes' heads. After some time you realize that others cannot guess the color of their hat, or at least don't want to. What color is your hat?

Note: You know that your competitors are very smart and want nothing but marry the princess. You also know that the king is a man of his word, and if he says that it is a fair intelligence and courage test, it is so.