Iger, who stepped down as the C.E.O. of Disney in March, votes and pays taxes in California, but he has long maintained an apartment in New York. “I have four adult kids,” he said. “They all live here—and five grandchildren.” He had spent the previous day at the apartment, watching football with two twentysomething sons and noticed, with a veteran media man’s weary resignation, that their attention was “somewhat diverted,” as he put it, by the rectangles in their hands.