I have a question regarding increasing blinds in Texas Hold-em poker. I am developing a poker website. During tournaments players are not allowed to buy chips. Each player starts with 1000 chips to play. We always keep all amounts on the table (player pot, player bet, table pot etc.), in multiples of the smallest denomination, i.e. small blind.
But when blinds are increasing automatically, what should I do in the case when a player is left with a chip smaller than the small blind? Should that player be able to continue the game, or are they busted immediately (and lose the tournament)?
Example : In a tournament of four players, all players begin with 1000 chips to play. After some time, one of the four players remains with 10 chips in the pot, and blinds reach to 500/1000 (SM/BB). What should I do with that player?