The internet banner on the web site of telecom provider AlyansTelekom in Russia's Far East advertises a promotion plan called "Moscow" with a Medvedev look-alike cartoon popping up from behind the red-brick Kremlin walls.
With a click of the mouse visitors can shoot the cartoon effigy and send up a golden halo around his head.
Senior assistant to the prosecutor of the Primorye province prosecutors' office Yelena Telegina said the office had already been informed of the website.
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"An order was given to the Primorye Police Department by the prosecutor to carry out a corresponding inquiry," she said.
Pro-government groups have used pictures of Kremlin critics such as Boris Berezovsky for publicity-generating target practice in the past.
A leading politician for the province and ruling "United Russia" member Galust Akhoyan said the use of Medvedev's likeness in the game was unacceptable.
"Caricatures of politicians in civilized societies -- that is business as usual. But to use the head of state as a target, that is extremism," said Akhoyan.
The computer game also gives internet users a chance to shoot other targets such as a hot air balloon, a ship and a submarine.
