President Obama is struggling to convince voters that he deserves to win re-election based on his handling of the economy, but his empathy and personal appeal give him an edge over Mitt Romney in Ohio, Florida and Pennsylvania, according to Quinnipiac University/New York Times/CBS News polls.

The contours of a deeply competitive presidential race, with three months remaining until the election, are highlighted in the new surveys of likely voters in the three battleground states. Mr. Romney drew fairly even with Mr. Obama when voters were asked about managing the nation’s financial situation, but his candidacy remains tested by concerns over his business background and his reluctance to release more of his tax returns.

The polls in the three states, all of which Mr. Obama carried in 2008, offer a window into challenges and opportunities for both candidates as August begins and they prepare for their nominating conventions and the general election fight. Most paths to victory that the campaigns are pursuing include winning at least two of the states.