The union has committed itself not to strike for seven years and to submit major issues to an arbitrator.
The unions have committed to operate that division, with lower costs from decreased wages and increased productivity, for 12 years.
The C.W.A.'s president, Morton Bahr, later contended that Mr. Pillard's union had committed "fratricide" in the labor movement.
The unions had already committed about $210 million in wage and work rule concessions to Mr. Ritchie before offering the new amounts yesterday.
Neither the league nor the union has committed to altering the framework of its proposal, but it would be a surprise if both sides did not move off their current numbers for total revenue distribution.
Local 26 and the international union have committed to adding $13 million in pension money to use as leverage in developing affordable housing.
In addition, he said his union would commit $1 million to work with national and local groups to pressure Wal-Mart to improve wages and working conditions and to be a better neighbor.
A union official, speaking on condition of anonymity, said the unions had so far committed to only $110 million.
'Suffocate' Since the strike, some unions have committed themselves to further talks while others have rejected the government's outline plans.
Another powerful union, the International Brotherhood of Teamsters, still has not committed to a candidate.