More than half of Republicans are open to revenue increases as part of a budget deal, according to a new poll by a Democratic pollster for the Peter G. Peterson Foundation.

The poll finds 54 percent of Republicans would support a deal that provides a "long-term solution" for the national debt even if it includes "revenue increases that I don't agree with."

Another 41 percent of GOPers disagree with that statement -- suggesting that hard-line opposition to revenue increases (generally accomplished through raising taxes, but not always) isn't universal or even predominant in today's GOP.

The poll does not ask specifically about tax increases in the same context.

The poll, conducted by the Global Strategy Group, also finds that a majority of Democrats aren't dug in when it comes to entitlement reform -- their own third rail of budget negotiations. A majority of them -- 53 percent -- say they would support a long-term national debt plan even if it includes "entitlement reforms that I don't agree with."

Asked about the government shutdown, more than seven in 10 Americans said it negatively impacted the United States and the economy, while 36 percent said it affected them personally. Nearly two-thirds (64 percent) said it had no impact on them personally.

The Peter G. Peterson Foundation is a group founded in recent years that pushes for long-term fiscal sustainability.