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Braggart from WikiPedia:

Boasting is the act of making an ostentatious speech. It is considered a vice by such major religious groups as Christianity, Islam, Hinduism, and Buddhism. Boasting has also been studied by such evolutionary psychologists as Robert Wright.

Boasting can be seen as a form of the message "Look at me, now. Aren't I wonderful?" Feeling satisfaction about an achievement, overcoming a challenge, a difficult accomplishment, and other similar events is to be expected. The feelings of satisfaction are pleasant and contribute positively to our self-concept and our self-esteem. We can and do feel good about ourselves. There is also the urge to share some of this satisfaction with others and the hope that they will feel a sense of pride and accomplishment with us. These are all expected feelings that any of us can identify with and probably have acted on. As described this is not boasting.

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