Display of self-importance

• Selfish endeavour say to put up inscription on tomb
• Self-gratifying pursuit
• Self-indulgence of a kind
• Singing "Me, me, me," e.g
• Immodest display
• Selfish endeavor
• Self-guided journey?
• What a big winner might be on

WordNet Word definitions in WordNet
v. act in a way that attracts attention; "This teacher always egotrips and the students don't like him"