Systems and methods to determine a game payment

A non-transitory machine-readable medium storing instructions which, when executed by one or more processors, cause the one or more processors to perform operations comprising:

• selecting a player seeking to participate in a session of an instance of a game to make a payment associated with the session of the instance of the game, the selecting based on a session counter of the selected player having a higher value than a session counter of an unselected player seeking to participate in the session of the game, the session counter of the selected player representing a value of payments that the selected player was not selected to pay in previous sessions of the instance of the game, the session counter of the unselected player representing a value of payments that the unselected player was not selected to pay in the previous sessions of the instance of the game;
• based on a receiving of the payment from the selected player, decrementing the session counter of the selected player by an amount corresponding to the payment, incrementing the value of the session counter of the additional player by an amount corresponding to the payment, and allowing the selected player and the unselected player to participate in the session of the instance of the game.