Mr. Cheney is actively shopping a memoir about his life in politics and service in four presidential administrations, a work that would add to what is already an unusually dense collection of post-Bush-presidency memoirs that will offer a collective rebuttal to the many harshly critical works released while the writers were in office and beyond…

As the talks continue, Mr. Cheney is writing out his thoughts longhand in an office above his garage in Virginia and is in frequent contact with the other newly minted Bush administration authors, right on up to Mr. Bush.

A report by U.S. News & World Report about a visit by Mr. Cheney to Mr. Rumsfeld’s Washington office in March prompted speculation that they were trying to match up their stories, which a Rumsfeld spokesman, Keith Urbahn, denied. He said there was likely to be a greater divergence of views in the coming books than some might expect.