Green’s Dictionary of Slang

game adj.1

1. [late 18C+] criminal or associated with the underworld; thus game woman, a prostitute; game publican, a publican who affects not to notice the breaking of the law.

2. [1930s–50s] (also gamey) of women, promiscuous.

3. [early 19C] of an animal, cantankerous.

4. [early 19C–1920s] of men, cunning, villainous.

5. [1990s+] (US campus) attractive, seductive.

In compounds

game pullet (n.) [SE pullet, a young chicken; the ‘Game Chicken’, however, was the nickname for the early 19C prize-fighter Henry ‘Hen’ Pearce]

[18C] a young prostitute; a promiscuous young woman.