Stammbach, who is chairman of the I.T.F.’s finance committee, called for the biggest changes. He is willing to have the Davis Cup and Fed Cup every two years, by playing the first two rounds in one year and the semifinals and finals the next, which would avoid going a year without competition but would also reduce the player commitment.

Stammbach would also like to have the Davis Cup and Fed Cup finals together in one neutral location. That would bring in a projected $10 million, offsetting the $5 million reduction from having only two rounds a year instead of four, and would also attract another $5 million or more in unused sponsorship.

“Players will be happy,” Stammbach said. “I talked to the top players, because they complain they have to play too many times.”

The financial estimates for a combined neutral final have been influenced by the WTA’s recent five-year, $75 million deal with Singapore to move the season-ending event there. A similar deal with a city could be struck to hold the Davis Cup and Fed Cup finals, though there is potential for attendance problems and diminished fan enthusiasm if there is no home team to generate interest.

Haggerty, a former United States Tennis Association president, is taking a different approach. He said there were “at least 10” alternatives to a neutral-site final that could help the Davis Cup and Fed Cup create $20 million in the next four years.

“I’d rather get everybody collaborating and agreeing to get behind something rather than saying, well, I’ve decided this,” he said. “More buy-in will make a more successful event.”

He added: “And I think my relationships with the U.S. Open, having been the chairman there — with broadcast, with the tours, with sponsors, I think we could make some significant increases.”