BEN FELLERWASHINGTON (AP) â¿¿ An economic calamity looming, President Barack Obama on Friday signaled willingness to compromise with Republicans, declaring he was not "wedded to every detail" of his tax-and-spending approach to prevent deep and widespread pain in the new year. But he insisted his re-election gave him a mandate to raise taxes on wealthier Americans. "The majority of Americans agree with my approach," said Obama, brimming with apparent confidence in his first White House statement since securing a second term. Trouble is, the Republicans who run the House plainly do not agree with his plans. Speaker John Boehner insisted that raising tax rates as Obama wants "will destroy jobs in America." So began the "fiscal cliff" political maneuvering that will determine which elected power center â¿¿ the White House or the House â¿¿ bends more on its promises to voters. The outcome will affect tens of millions of Americans, given that the tax hikes and budgets cuts set to kick in Jan. 1 could spike unemployment and bring on a new recession. An exhausting presidential race barely history, Washington was back quickly to governing on deadline, with agreement on a crucial goal but divisions on how to get there. The campaign is over, but another has just begun. The White House quickly turned Obama's comments into an appeal for public support, shipping around a video by email and telling Americans that "this debate can either stay trapped in Washington or you can make sure your friends and neighbors participate." Obama invited the top four leaders of Congress to the White House next week for talks, right before he departs on a trip to Asia. In laying their negotiating markers, all sides sought to leave themselves wiggle room. "I don't want to box myself in. I don't want to box anybody else in," Boehner said at the Capitol.