diz475,
Your statement: "the player that can buy the button is the player between the small and the button," needs more clarification. The new player seated in a vacant seat where the player to his left posted the BB on the last hand, and the player on the right was the SB. Example, last hand: button in 1 seat, SB in 2 seat, 3 seat empty,
seat 4 BB...
Next hand, new player seated in seat 3 is allowed to buy the button. However, if there were two empty seats between the Button and the SB, and both seats were filled before the next deal...that changes things. I believe that only one new player, seated closest to the BB from the last hand, can buy the button.
Example, Last hand: Button in 1 seat, SB in 2 seat, seats 3 and 4 are empty, seat 5 is the BB. Next hand, new players are seated in both empty seats.. Only the new player in seat 4 has the option to buy the button and the seat 3 player must wait for the button to pass.
Any thoughts?