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Once every six weeks, the most powerful players in the global economy meet on the 18th floor of an ugly office building near the train station in the Swiss city of Basel. The group includes United States Federal Reserve Chair Janet Yellen and her counterpart at the European Central Bank (ECB), Mario Draghi, along with 16 other top monetary policy officials from Beijing, Frankfurt, Paris and elsewhere.

The attendees spend almost two hours exchanging views in a debate chaired by Bank of Mexico Governor Agustín Carstens. Waiters serve an exquisite meal and expensive wine as the central bankers talk about the economy, growth and market prices. No one keeps minutes, but the world's most influential money managers are convinced that the meetings help expand their knowledge in important ways. "We learn what makes our counterparts tick," says one attendee.

These closed-door meetings, which are held on Sunday evenings, have a long tradition. But ever since many central banks lowered their interest rates to almost zero, bought up sovereign debt and rescued banks, a new, critical undertone has crept into the dinner conversations. Monetary experts from emerging economies complain that the measures taken by Europeans and Americans are pushing unwanted speculative money their way. Western central bankers say they have come under growing political pressure. And recently, when the host of the meetings -- head of the Basel-based Bank for International Settlements Jaime Caruana -- speaks in one of his rare public appearances, he talks about "chronic post-crisis weakness" and "risk." Monetary institutions, says Caruana, are at "serious risk of exhausting the policy room for manoeuver over time."

These are unusual words, especially now that the world's central bankers, five years after the Lehman crash, are more powerful than ever. They set interest rates and control the money supply, oversee governments and banks and, like Bank of England Governor Mark Carney, are treated a bit like movie stars by the public.

To an extent unprecedented in postwar history, monetary watchdogs -- who are not elected and are usually independent of their countries' governments -- determine what happens in politics and on the markets. They are the new "masters of the universe." Yet their internal discussions on the effects of their power do not give the impression of resounding success. Growth is limping along in the world's major economies; banks, households and governments are deeply in debt; and the bankers' so-called unconventional monetary policy is running up against its limits everywhere.