Game information delivered from other video game processing apparatus different from a player's own video game processing apparatus is received via radio communication. Conditional read data and unconditional read data are stored in an information storage as the game information received by the information receiver. The conditional read data cannot be read when a specific condition is met, while the unconditional read data can be read unconditionally. It is determined whether or not the specific condition is met during progress of the video game. When the game information indicates the unconditional read data, the unconditional read data are set to readable in the case where the unconditional read data are stored in the information storage. On the other hand, when the game information indicates the conditional read data, the conditional read data are set to readable in the case where it is determined that the specific condition is met.