WASHINGTON — Amid demands from Republicans that President Obama propose detailed new spending cuts to avert the year-end fiscal crisis, his answer boils down to this: you first.

Mr. Obama, scarred by failed negotiations in his first term and emboldened by a clear if close election to a second, has emerged as a different kind of negotiator in the past week or two, sticking to the liberal line and frustrating Republicans on the other side of the bargaining table.

Disciplined and unyielding, he argues for raising taxes on the wealthy while offering nothing new to rein in spending and overhaul entitlement programs beyond what was on the table last year. Until Republicans offer their own new plan, Mr. Obama will not alter his. In effect, he is trying to leverage what he claims as an election mandate to force Republicans to take ownership of the difficult choices ahead.

His approach is born of painful experience. In his first four years in office, Mr. Obama has repeatedly offered what he considered compromises on stimulus spending, health care and deficit reduction to Republicans, who either rejected them as inadequate or pocketed them and insisted on more. Republicans argued that Mr. Obama never made serious efforts at compromise and instead lectured them about what they ought to want rather than listening to what they did want.