The present invention is designed specifically to comply with gaming regulations to provide an electronic video poker game, an electronic slot machine, an electronic twenty-one game or an electronic craps game in which the players are competing against each other to win from a common pool and are not wagering against the house. The house retains an pre-established commission. When a player stops playing his machine, he can cash out his accrued credits for an amount determined by the value of the common pari-mutuel pool. The present invention also provides for pari-mutuel pools to be distributed to all coin columns in a predetermined manner so as to allow all participants (not only the ones who play maximum coins) to be able to win a predetermined mathematical proportional share of the pari-mutuel jackpot pool (progressive payouts). The invention also provides for seeding of the jackpot pools by the gaming establishment and for funding of future pools by setting aside into future pools portions of wagers made by current players.