gamester

A person who plays games.

And now, while they are climbing the pole in another part of the field, […] the old farmer […] announces to all whom it may concern that a half-sovereign in money will be forthcoming to the old gamester who breaks most heads; […]

One who plays video games.

Gamesters should know that Nintendo is considering a phone link that would allow players to compete via modem in nationwide competitions.

A gambler.

[…] here were no Gibers, Cenſurers, Backbiters, Pick-pockets, Highwaymen, Houſebreakers, Attorneys, Bawds, Buffoons, Gameſters, Politicians, Wits, ſplenetick tedious Talkers, Controvertiſts, Raviſhers, Murderers, Robbers, Virtuoſo's; […]

A prostitute; one who is on the game.

She's impudent my Lord, / And was a common gameſter to the Campe.