MULTI-BAFFLEMENT THE U.S . TODAY IS ENGAGED IN NOT ONE, BUT TWO NUCLEAR ARMS RACES . ITS FIRST AND OVERRIDING CONCERN, OF COURSE, IS TO DETER SOVIET AGGRESSION AND TO BE CAPABLE OF MASSIVE RETALIATION IF THE RUSSIANS SHOULD ATTACK THE WEST . WASHINGTON'S SECOND AIM, HOWEVER, IS LESS STRATEGIC THAN POLITICAL ; IT COULD BE CALLED THE THEORY OF THE MASSIVE PLACEBO, SINCE ITS PRIMARY PURPOSE IS NOT TO DETER THE FOES OF THE U.S . BUT TO MOLLIFY ITS FRIENDS AND DISCOURAGE THE PROLIFERATION OF NUCLEAR ARMS . BY LAST WEEK, U.S . PLACEBO PLANNERS HAD SUCCEEDED ONLY IN FRUSTRATING AND PERPLEXING THE VERY ALLIES THEY HOPED TO PLEASE . UNEASILY AWARE THAT THE INCREASINGLY PROSPEROUS AND POWERFUL NATIONS OF WESTERN EUROPE WOULD NOT FOREVER ACCEPT TOTAL U.S . CONTROL OF NUCLEAR WEAPONS, THE U.S . OFFERED MORE THAN TWO YEARS AGO TO GIVE THEM A VOICE IN THEIR DISPOSITION AND USE BUT LEFT IT TO EUROPE TO DEVISE A FORMULA . IT WAS NOT UNTIL THE KENNEDY ADMINISTRATION CANCELED THE BUG-RIDDEN SKYBOLT MISSILE PROJECT LAST DECEMBER THAT THE U.S . WAS FORCED TO TAKE THE INITIATIVE . IN PLACE OF SKYBOLT, THE ADMINISTRATION RELUCTANTLY OFFERED AT NASSAU TO SUPPLY POLARIS MISSILES FOR AN INDEPENDENT BRITISH SUBMARINE FORCE . CHANGE OF MIND . AT THE SAME TIME, THE U.S . INSISTED THAT THE BRITISH SUBS MUST BE " MULTINATIONAL, " THAT IS, THEY WERE TO BE PART OF A NATO DETERRENT IN WHICH OTHER ALLIES MIGHT IN TIME POOL THEIR OWN STRIKE FORCES, IF AND WHEN THEY ACQUIRED NUCLEAR WEAPONS . TO PLACATE ITS OTHER EUROPEAN ALLIES, THE KENNEDY ADMINISTRATION ALSO PROPOSED A " MULTILATERAL " FORCE OF POLARIS SUBMARINES, WHICH WOULD BE MULTIMANNED AND MULTIFINANCED BY THE U.S . AND ITS PARTNERS, EACH OF WHOM WOULD HAVE A VETO OVER THE USE OF THE MISSILES . THEN, JUST AS THE EUROPEANS BEGAN TO GET INTERESTED IN THIS SCHEME, THE U.S . ABRUPTLY CHANGED ITS MIND AND ANNOUNCED THAT THE MULTILATERAL FORCE (MLF) SHOULD CONSIST OF POLARIS-ARMED SURFACE VESSELS INSTEAD THOUGH IT WOULD BE LITTLE STRATEGIC VALUE, A 25-SHIP SURFACE FORCE WOULD COST ONLY $500 MILLION YEARLY, FAR LESS THAN A SUBMARINE FLEET . TO MOST EUROPEANS, THE STRONGEST ARGUMENT FOR THE MLF WAS THAT IT WOULD GIVE WEST GERMANY A VOICE IN NUCLEAR STRATEGY AND POSSIBLY DISCOURAGE IT FROM DEVELOPING NUCLEAR WEAPONS OF ITS OWN, WITH OR WITHOUT HELP FROM FRANCE FRANKLY INTERESTED . TO PEDDLE THE PLACEBO, THE ADMINISTRATION PLUCKED OLD STATE DEPARTMENT HAND LIVINGSTON MERCHANT FROM RETIREMENT . TO HIS SURPRISE, MLF MET WITH A SURPRISINGLY WARM RECEPTION . THOUGH SOME ALLIED STATESMEN HEMMED THAT ITS COST WOULD PREVENT THEM FROM MEETING U.S . REQUESTS TO STRENGTHEN CONVENTIONAL FORCES, WEST GERMANY, ITALY AND BELGIUM WERE FRANKLY INTERESTED . LAST MONTH MERCHANT ACTUALLY SUCCEEDED IN EXTRACTING A COMMITMENT FROM WEST GERMANY TO PAY 40 PER CENT OF THE ENTIRE COST OF THE PROJECT . HOWEVER, LAST WEEK, WORD REACHED NATO HEADQUARTERS IN PARIS THAT WASHINGTON HAD SUDDENLY LOST ITS ENTHUSIASM FOR THE MULTILATERAL FORCE . ITS CHANGE OF MIND NOT ONLY LEFT UNSOLVED THE POLITICAL PROBLEMS THAT MLF WAS DEVISED TO SOLVE, BUT EVEN SEEMED LIKELY TO AGGRAVATE THEM, SINCE THE U.S . WAS NOW REPORTEDLY READY TO BACK THE IDEA OF INDEPENDENT MULTINATIONAL FORCES INSTEAD, THUS ENCOURAGING ITS ALLIES TO BUILD THEIR OWN BOMBS . EVEN IF EVERY NATO ALLY COULD AFFORD ITS OWN NUCLEAR FORCE AND A SCIENTIFIC BREAKTHROUGH MAY YET MAKE THAT FEASIBLE EUROPE WOULD HAVE ONLY A MINUTE PROPORTION OF THE TOTAL U.S . NUCLEAR ARMORY . BUT WHO CAN PREDICT HOW IT WILL TURN OUT ? IN THE BRAVE NEW WORLD OF BUILD-YOUR-OWN-BANG, IT COULD EVEN HAPPEN THAT EUROPEAN HYDROGEN BOMBS MIGHT NOT FALL ON THE SOVIET UNION AT ALL, BUT ON THE U.S .