Executives at the Port Authority of New York and New Jersey will try to broker a truce this week between the longshoremen and shippers on its docks and a regulator that the union and shippers say has been too aggressive in policing which workers they hire.

The New York Shipping Association, and its chief union, the International Longshoremen's Association, have been sparring for weeks with officials from the Waterfront Commission, a regulator formed in 1953 to root out mob influence in the harbor.

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