Soon, you’ll be able to play select PSP games on PS3. Sony made a "PSP Remaster" label just for PSP games that have been upgraded with HD visuals, PS3 controls and for select titles new additional content and stereoscopic 3D graphics.
Monster Hunter Portable 3rd HD Ver. is the first game in the series announced for Japan. Users will be able to import save data from the PSP version to the PlayStation 3 version. Monster Hunter Portable 3rd HD Ver. also supports ad-hoc connectivity through the Adhoc Party application.
Sony Computer Entertainment did not set a date for Monster Hunter Portable 3rd HD Ver. and since this news is for Japan the game has not been confirmed for North America at the moment.