In 1925, Halberstadt shared 1st with Abraham Baratz in the 1st Paris City Chess Championship, tied for 5-6th in the 2nd Paris-ch 1926 (Leon Schwartzmann won), tied for 5-6th at Hyères 1926 (Baratz won), shared 1st with Peter Potemkine at Paris 1926, tied for 5-7th in the 3rd Paris-ch 1927 (Baratz won), tied for 10-11th in the 4th Paris-ch 1928 (Baratz won), tied for 1st-3rd with Marcel Duchamp and J.J. O'Hanlon at Hyères 1928, took 8th in the 6th Paris-ch 1930 (Josef Cukierman won), took 6th in the 7th Paris-ch 1931 (Eugene Znosko-Borovsky won), took 3rd in the 8th Paris-ch 1932 (Oscar Blum won), and took 9th at Paris 1938 (L'Echiquier, Baldur Hoenlinger won).
In 1932, he published with Marcel Duchamp "L'Opposition et les cases conjugées sont réconciliées", a chess manual dedicated to several special end-game problems, for which Duchamp designed the layout and cover. In this book, DuChamp and Halberstadt addressed the complication of the so-called "heterodox opposition", which is a precisely organized endgame that involved two kings and a handful of pawns. This concept has established a figure of immobilized reversibility between two subjective positions and two players. Within a condition where only two kings remain, the duo described the move in the following manner:
The king 'may act in such a way as to suggest he has completely lost interest in winning the game. Then the other king, if he is a true sovereign, can give the appearance of being even less interested.' Until one of them provokes the other into a blunder.
Halberstadt was also the author of "Curiosités tactiques des finales" (1954).
- "Halberstadt". heritageechecsfra.free.fr.
- "CHAMP PARIS". heritageechecsfra.free.fr.
- http://www.bcmchess.co.uk/britbase/arch20a.htm Archived 2008-04-23 at the Wayback Machine Britbase
- "Amsterdam (NED-ch10th) 1938". Archived from the original on 2010-12-15. Retrieved 2010-12-15.
- Art, Philadelphia Museum of. "Philadelphia Museum of Art - Archives : Finding Aids". www.philamuseum.org.
- Joselit, David (2001). Infinite Regress: Marcel Duchamp, 1910-1941. Cambridge: MIT Press. p. 174. ISBN 9780262600385.
- Witham, Larry (2013). Picasso and the Chess Player: Pablo Picasso, Marcel Duchamp, and the Battle for the Soul of Modern Art. Hanover: UPNE. p. 327. ISBN 9781611682533.
- McEvilley, Thomas (1999). Sculpture in the Age of Doubt. New York: Allworth Press. p. 56. ISBN 1581150237.