WI: Earlier spread of Rock, Paper, Scissors?

According to the World Rock Paper Scissors Association, the dispute-settling game we all know and love had certain precedents in ancient China, described in various forms (with varying component moves, sometimes adding an animal to the movelist, for example) by ancient sages in that area. It eventually spread to Japan, where it got standardized into the way we today know it as jo-ken-po. The game, however, seems to only have spread into the west very late, in the 20th century, as evidenced by a newspaper article in English dated from 1932, authored by a Japanese-American, detailing the rules of the game to an audience presumably ignorant of its existence.
So, my question is... is there a way to have the game of Rock, Paper, Scissors spread earlier to the west from East Asia? Or for native European, African, and West and South Asian societies to develop the game on their own? How would a more native (or nativized) western eurasian form of Rock, Paper, Scissors differ from the version we know today? Could there be regional variations, even some "extended" versions similar to Rock-Paper-Scissors-Lizard-Spock?
 
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