The dispute apparently was resolved because both sides feared they might be blamed for a breakdown of the truce -- and therefore the road map -- if they did not relent.
But some analysts cautioned that the new agreement might be difficult to implement.
"What's behind the agreement is the desire of all three parties -- including the US -- to keep road map alive after the events of this week," said Joseph Alper, a former official in the Israeli Defense Ministry.
"But agreements are one thing and implementation is another. It's not a foregone conclusion that they will carry this one out."
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