CRJ-200 FLT CREW HAS AN ENCOUNTER WITH ANOTHER ACFT IN THE RAMP AREA AT CVG.

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MY PLANE WAS PARKED AT GATE XX IN CVG. AFTER PUSHBACK I TURNED SBOUND ON TXWY F. AT THIS TIME TXWY F WAS CLR OF ANY AIRPLANES. THE ONLY AIRPLANE IN SIGHT WAS ACFT Y FACING E AND STOPPED W OF THE YELLOW DASHED LINE BY 3F. I THEN TAXIED MY AIRPLANE TOWARD 3F. THINKING THAT ACFT Y WAS GIVING WAY BECAUSE HE WAS ALREADY STOPPED AND HAD NO LIGHTS ON; I STOPPED MY AIRPLANE SHORT OF TXWY J. AT THIS TIME THE 2 AIRPLANES WERE STILL AND THE NOSE OF THE ACFT Y WAS AT MY 4 O'CLOCK POS. WE THEN SWITCHED TO CVG GND TO HEAR THE END OF A XMISSION FROM ACFT Y; STATING THAT THEY 'WERE NOW #2.' THE GND CTLR AMENDED HIS CLRNC BUT AT THE SAME TIME THE ACFT Y AIRPLANE STARTED TO TAXI BTWN MY AIRPLANE AND THE GRASS BAND; FORCING HIS WAY TOWARD TXWY J; AND THEN CALLING GND TO STATE THAT THEY WERE '#1 NOW.' DURING THE MANEUVER MY AIRPLANE STAYED STILL AND MY FO WAS WORRYINGLY MONITORING THE CONSTANTLY DECREASING DISTANCE BTWN OUR 2 AIRFRAMES. I DO NOT KNOW IF THE ACFT Y PLT GROUP IS AWARE OF THE TXWY MOVEMENT DIRECTIVE; NOR OF THE LIGHT USAGE WHILE AN AIRPLANE IS TAXIING; BUT THIS OCCURRENCE THAT ENDANGERED THE SAFETY OF BOTH OUR AIRPLANES LOOKED TO ME AS AN ACT OF PIRACY.