There is no limit on how many of their chips a player can bet at once-you can go 'all in'-but when a player runs out he or she is out of the game unless allowed to buy back in for another share of chips just as new players can buy-in during the first 2 or 3 days of the tournament with hundreds playing, coming and going. X Research source In this version, each player buys into the game with a set amount-perhaps $5 for a friendly game, hundreds or more for serious wagering.
There are a couple ways to organize your game from here. If you are not playing for money, still the bank should divvy out an equal number of chips to each player. One trusted player, or an outside party, should collect and count the money, or whatever you are wagering, and exchange it for poker chips for each player.