The brothers oversee an enviable collection of businesses — a movie studio, cable channels and a publishing house worth a combined $62bn. But that does not mean they have nothing to worry about. Their newspapers have been walloped by an industry-wide collapse in print advertising, while Fox’s television networks are grappling with the “cord-cutting” phenomenon — the cancellation of pricey cable subscriptions by a generation that prefers binge-watching on demand. For owners of channels such as Fox that means fewer viewers and pressure on advertising. ... The competition is also beefing up. Time Warner, one of Fox’s main rivals and the owner of HBO, CNN and Warner Bros, has agreed a blockbuster $85.4bn sale to AT&T, which will create a giant that dwarfs Fox. If it is cleared by regulators, the combined company will be able to deliver Time Warner movies and TV programming direct to more than 160 million AT&T customers around the US — something Fox is currently unable to do. ... Add these challenges to the scrutiny and opposition that their Sky deal will generate and the younger Murdochs find themselves in a challenging environment. Their father overcame considerable obstacles to become the world’s most influential media mogul, battling political establishments on both sides of the Atlantic and making risky bets along the way, buying The Sun, launching Sky and Fox News, to name but three. The question now facing James and Lachlan is this: do they have what it takes to fill his shoes?