The New York Times reports that the production, which will begin rehearsals Oct. 26, will officially open Dec. 10.
Race will arrive on Broadway without an out-of-town tryout.
Mamet was represented on Broadway earlier this season with revivals of American Buffalo and the much-in-the-news Speed-the-Plow.
A founder of the Atlantic Theater Company, David Mamet's principal works include The Duck Variations, Sexual Perversity in Chicago, American Buffalo, Glengarry Glen Ross (Pulitzer Prize), Boston Marriage, Edmond, Oleanna, Speed-the-Plow and The Cryptogram (Obie Award). He adapted The Voysey Inheritance for the Atlantic and was also represented on Broadway with the political comedy November.