Representative Nancy Pelosi, the House Democratic leader, on Thursday announced her three appointees to the special Congressional committee tasked with finding ways to reduce federal budget deficits, as a Republican member of the newly formed panel expressed an openness to consider possible tax increases.

Ms. Pelosi’s choices complete the 12-member panel, which is evenly divided between the two parties and the two houses of Congress.

All three members named by Ms. Pelosi hold leading roles in the party: Representative James E. Clyburn of South Carolina, the No. 3 House Democrat; Representative Xavier Becerra of California, vice chairman of the Democratic Caucus; and Representative Chris Van Hollen of Maryland, the senior Democrat on the House Budget Committee.

Ms. Pelosi said in a statement that the committee “has a golden opportunity to take its discussions to the higher ground of America’s greatness and its values.”

Created as part of the agreement to raise the federal debt ceiling, the panel is supposed to recommend ways to reduce federal budget deficits by at least $1.2 trillion over 10 years. If the panel fails to do so by its Nov. 23 deadline, or if its ideas are not enacted, the agreement calls for the government to automatically cut spending across the board.

If even a single panel member crosses party lines to provide a majority vote, the committee can forward its proposals to the floor of the House and the Senate for up-or-down votes without amendments.

One Republican member of the committee, Representative Dave Camp of Michigan, said Thursday that he would not rule out possible tax increases –- a central point of contention in the recent debt talks and something many economists contend will be a necessary element to any successful bipartisan proposal.

“I don’t want to rule anything in or out,” Mr. Camp told Reuters. “I am willing to discuss all issues that might help us reduce our short and long-term debt and grow our economy.”

“Everything is on the table, until we as a group rule it out,” he said.

Ms. Pelosi, in her statement, described Mr. Clyburn as a consensus builder with experience on the Appropriations Committee; Mr. Becerra as a senior member of the Ways and Means Committee who “placed the interests of America’s working families first”; and Mr. Van Hollen as a Democratic leader in the deficit-reduction talks led by Vice President Joseph R. Biden Jr.

The three Democratic members will join three House Republicans, Jeb Hensarling of Texas and Mr. Camp and Fred Upton, both of Michigan, on the committee. The Senate will be represented by three Republicans, Jon Kyl of Arizona, Pat Toomey of Pennsylvania and Rob Portman of Ohio, along with the Democrats Patty Murray of Washington, John Kerry of Massachusetts and Max Baucus of Montana.