About castling “fights” Today I played as White in an interesting bullet game in which a strange “fight” occurred.

[FEN ""]

1. d4 e6 2. Nf3 b6 3. e4 Bb7 4. Bd3 g6 5. Be3 Bg7 6. Nc3 Qe7 7. Qd2 Nc6 8. a3 a5 9. h3 h5 10. Qe2 Bh6 11. Bxh6 Nxh6 12. Qe3 Nb8 13. e5 Ng8 14. Qd2 d6 15. exd6 cxd6 16. Qe3 Nf6 17. Ne4 Ba6 18. Bxa6 Nxa6 19. Nxf6+ Qxf6 20. Qd3 Nc7 21. Qe3 Kd7 22. Nd2 Rae8 23. Nb3 Nd5 24. Qd3 e5 25. O-O-O Nf4 26. Qf3 Qg5 27. dxe5 Rxe5 28. g3 Ne2+ 29. Kb1


During the game, it seemed, to me at he least, that were playing out a “fight” of who would castle first. In my thoughts, it is advantageous to castle on the same side as the other side, so we tried to make each other castle first to know each others intentions. In other words, it was a drawn out tempo play revolving around who would castle first. This fight lasted in my game until Black played 21... Kd7.

My question is not about my game, but about this concept of such a castling fight. What should be done if you find yourself in one? Are their any strageties for these situations? Finally, have there been any top level games where a, preferably somewhat extended, castling fight occurred?
You may have been in a fight or not.  Top players do not fight that way they make the moves best for their position.  Sometimes they delay castling but not to fight the opponent.  

This seems to be a tactic used by weaker players who might want to mount an attack on the other king.  The position should decide whether that is the best strategy or not. 

Not sure why you two  did it that way as there had to be better moves available.  it looks more like you all were struggling to just make moves so did what you did. So  being a bullet game might explain some of the moves that I would not have considered.  

That said I would have just moved the white king up earlier and not castled at all as there is no danger of an attack and it would ensure that my king has an endgame advantage should black castle.   I note that is what black did to white later.  

But then I would have made a number of different moves earlier on that would have changed the entire game making the question moot:)