A CAPT'S FAILURE TO GIVE WAY TO A COMPANY ACFT RESULTED IN A CONFLICT REQUIRING ANOTHER ACFT'S EVASIVE ACTION.

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TAXIING WBOUND ON TXWY A; ATC INSTRUCTED US TO GIVE WAY TO THE COMPANY B-737 AT THE NEXT INTXN (ON L) I ACKNOWLEDGED AND POINTED OUT THE B-737. THE CAPT STOPPED AND FLASHED HIS L LNDG LIGHT TWICE. WHEN THE B-737 DID NOT MOVE; THE CAPT ADVANCED THROTTLES AND STARTED FORWARD. AT THE SAME TIME ANOTHER COMPANY'S F-100 APCHED THE INTXN FROM THE R; FACING THE B-737. I SAID 'WE'RE SUPPOSED TO GIVE WAY' BUT THE CAPT CONTINUED FORWARD AND RESPONDED ANGRILY 'HE'S NOT MOVING.' I SAID 'THAT DOESN'T AUTH US TO CONTINUE. HE'S WAITING FOR THE F-100.' THE CAPT EXPLODED: 'HEY; YOU DO THE COPLT'S THINGS AND I'LL DO THE CAPT THINGS. WE'RE GOING TO HAVE A LONG TALK WHEN WE GET TO THE GATE.' FORTUNATELY THE F-100 APPLIED BRAKES AND AVERTED COLLISION; PROBABLY BY ABOUT 10 FT. ATC SAID NOTHING AND WE CONTINUED TO THE GATE. BACKGROUND: THIS CAPT AND I FLEW 4 SEQUENCES TOGETHER IN APRIL. BEFORE THE 2ND SEQUENCE HE CALLED ME ASIDE AND COMPLAINED THAT I WAS 'FLT INSTRUCTING' AND THAT HE WAS THE CAPT. THE 2ND AND 3RD SEQUENCES SEEMED TO GO OK. HE IGNORED MOST INPUT FROM THE OTHER CREWMEMBERS AND WAS RELUCTANT TO ACKNOWLEDGE COMPANY REQUIRED REMINDERS FOR ALT CHANGES; LEVEL OFFS AND OTHER OUTBOUND COURSES AT STATION PASSAGE BUT I CONTINUED STANDARD INQUIRY AND ADVOCACY. THIS WAS TO BE OUR LAST FLT TOGETHER; A MORNING FLT FROM TPA TO ORD. THE WX IN TPA WAS 76 DEGS AND HUMID. WHEN I RETURNED TO THE COCKPIT AFTER CABIN INTRODUCTIONS; THE PAX WERE BOARDING AND I SUGGESTED THAT THE SO START THE APU FOR CABIN COOLING. THE CAPT RESPONDED THAT IT WAS TOO EARLY AND THOSE FLT ATTENDANTS ARE ALWAYS HOT; BUT THE ENGINEER HAD ALREADY HIT THE SWITCH FOR THE APU AND THE CAPT YELLED AT ME; SAYING 'WHY DON'T YOU TELL ME. I'M SUPPOSED TO MAKE THE DECISIONS.' THIS WAS PROBABLY STILL ON HIS MIND DURING TAXI-IN AT ORD. CONCLUSION: THIS CAPT'S FAILURE TO EMBRACE CLR CONCEPTS LED TO A NEAR-COLLISION. DURING DISCUSSION AFTER TAXI-IN; HE INSISTED THAT HE ALONE WAS RESPONSIBLE FOR THE ACFT AND THAT MY INQUIRY AND ADVOCACY WAS INSUBORDINATION. I WILL SEEK ADVICE FROM OUR PROFESSIONAL STANDARDS COMMITTEE BEFORE ANY FURTHER FLTS WITH THIS CAPT.