“It’s like the dog that chases the car and actually catches it,” Mr. Zak said. “It’s still not cheap, but it was fair and it was in move-in condition.” They have since installed a new kitchen, painted and brought in new rugs.

In the shifting luxury real estate market, the highest priced homes are taking longer to sell, said Laura Brady, the president and founder of Concierge Auctions, in Manhattan. The company’s Luxury Homes Index report, released earlier this month, noted that the 10 most expensive homes sold in the Hamptons last year had an average sale price of $24,079,286, and spent an average of 706.7 days on the market. Luxury homes that lingered on the market tended to go for less, selling at discounts of nearly 40 percent after six months, Ms. Brady said.

In Montauk, the 20-acre oceanfront estate that belongs to Dick Cavett, the former talk show host, has been on the market for two years. The 7,000-square-foot, six-bedroom, four-bathroom house, which was listed for $62 million in June 2017, was designed by McKim, Mead & White in the 1880s and rebuilt in 1997 after a fire, using “forensic architecture techniques” to replicate the original house with a wraparound porch and a bell tower, said Gary DePersia, an associate broker with Corcoran. The price dropped to $48.5 million last August, then Mr. DePersia re-listed it in February, for $33.95 million.

“They are motivated sellers,” Mr. DePersia said. “Where are you going to get 20 acres with 900 feet of oceanfront and utter privacy with a historic house for that kind of money in the Hamptons? You are not.”