BJ - ties win.

[Cezar]

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In the game you describe, the dealer usually exposes both cards (hence, "no hole card") before the player plays. The strategy is close, and the player can get a slight advantage. I've seen the game under a number of names -- it was first described by Richard Epstein as "Zweikartenspiel".

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Sorry, I probably didn't express myself clearly. In this game the dealer is only dealt one card to start, face up.
Natural blackjack for the player still pays 3 to 2, but otherwise you can still end up losing even with 21, if you make it in 3 cards or more.