If you sit at home thinking you could beat those know-it-alls on Jeopardy!, now you will have the chance. The Sony Pictures Television game show and developer AirPlay planned an announcement Monday of an agreement to develop a multiplayer mobile game that will allow users to play along live with Jeopardy! contestants while the show airs, via their BlackBerry, cell phone or other personal digital assistant. Harry Friedman, executive producer of both Jeopardy! and Wheel of Fortune, hopes to have the application up and running by next season, during which Jeopardy! will celebrate its 25th anniversary, as Wheel did this season.