A method for enhancing resource utilization in Texas Holdem poker comprises administering a primary Texas Holdem poker round for a plurality of players and, concurrently with the primary Texas Holdem poker round, administering a secondary Texas Holdem poker round among at least some players who have folded out of the primary Texas Holdem poker round. These folded players retain their respective hole cards from the primary Texas Holdem poker round for the secondary Texas Holdem poker round, and the secondary Texas Holdem poker round utilizes at least one otherwise idle resource from the primary Texas Holdem poker round. For physical games played at a table with physical playing cards, the otherwise idle resource(s) comprises table positions of folded players, and for computerized poker games played with virtual playing cards, the otherwise idle resource(s) comprise the remote communication connections between the dealer computer system and the player computer systems.