LINDSTROM, Minn. — Ki Gulbranson owns a logo apparel shop, deals in jewelry on the side and referees youth soccer games. He makes about $39,000 a year and wants you to know that he does not need any help from the federal government.

He says that too many Americans lean on taxpayers rather than living within their means. He supports politicians who promise to cut government spending. In 2010, he printed T-shirts for the Tea Party campaign of a neighbor, Chip Cravaack, who ousted this region’s long-serving Democratic congressman.

Yet this year, as in each of the past three years, Mr. Gulbranson, 57, is counting on a payment of several thousand dollars from the federal government, a subsidy for working families called the earned-income tax credit. He has signed up his three school-age children to eat free breakfast and lunch at federal expense. ...

The government safety net was created to keep Americans from abject poverty, but the poorest households no longer receive a majority of government benefits. A secondary mission has gradually become primary: maintaining the middle class from childhood through retirement. The share of benefits flowing to the least affluent households, the bottom fifth, has declined from 54 percent in 1979 to 36 percent in 2007, according to a Congressional Budget Office analysis published last year....

But Dean P. Lacy, a professor of political science at Dartmouth College, has identified a twist on that theme in American politics over the last generation. Support for Republican candidates, who generally promise to cut government spending, has increased since 1980 in states where the federal government spends more than it collects. The greater the dependence, the greater the support for Republican candidates.

Conversely, states that pay more in taxes than they receive in benefits tend to support Democratic candidates. And Professor Lacy found that the pattern could not be explained by demographics or social issues.