While it is possible to connect a PS3 to a PSP and vice-versa, it is not possible to play PSP games on the PS3 platform without using third-party software. However, it is possible to use a PSP to play certain games stored on the PS3 remotely through a wireless connection.
Before a PSP system can remotely connect to a PS3, it must be registered through a wired connection. After a PSP has been registered to a PS3, it is then able to access data files within the system. When connected to a PS3, the PSP is able to play PSone games remotely.