The invention provides electronic video casino games in which the players are competing against each other to win from a common pool and are not wagering against the house. The invention also provides live casino table games 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 preestablished commission. The player cashes out his accrued credits or his accrued gaming chips 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 to be able to win a predetermined mathematical proportional share of the pari-mutuel progressive jackpot payouts. The invention also provides for seeding of the pools by the gaming establishment and for funding of future pools by setting aside into future pools portions of wagers made by current players. In pari-mutuel table games, each game is funded from the master pari-mutuel pool for the operation of the individual game. Should any table game become short of credits or chips, the master pool will disperse credits as needed to the respective tables. Should any tables have an excessive amount of credits, these credits will be transferred into the master pari-mutuel pool. All credits cashed out by the players come out of the master pari-mutuel pool.