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Anne McElvoy talks to the social theorist Jeremy Rifkin who foresees the gradual decline of capitalism and the rise of a collaborative economy. As new technology enables greater sharing of goods and services, Rifkin argues that it provides a challenge to the market economy. The sociologist Saskia Sassen warns that the majority of people may not enjoy the fruits of this new world as increasing inequality, land evictions and complex financial systems lead to their expulsion from the economy. The Conservative MP Kwasi Kwarteng looks back at the history of international finance and how gold and war have shaped the economic order of today.Producer: Katy Hickman.

Picture of James Lovelock provided by the Science MuseumAnne McElvoy looks back at the life of the maverick scientist James Lovelock who pioneered the theory of Gaia, of a self-regulating Earth. Lovelock also looks to the future and the next evolution of Gaia which could lead to the extinction of human life, and a rise of Artificial Intelligence, but the writer and ecologist George Monbiot prefers his future world with wolves, wild boars and beavers living alongside humans. The UN's intergovernmental panel on climate change has warned to expect more volatile weather patterns, and the physicist Joanna Haigh explains how scientists from all disciplines are working together to measure the impact of solar activity on the Earth's climate.Producer: Katy Hickman.

Tom Sutcliffe looks back three hundred years to the Hanoverian succession to the British throne. The curator Lucy Worsley explains how the German Georges claimed the crown and how they kept it. The Georgian period is also the setting for Paula Byrne's biography of Dido Belle, the daughter of an aristocrat and a captured West Indian slave. Also on the programme, the MP Chris Bryant explores the history of Parliament and the movement of power from King to democracy. But what of today's Royals? The director Rupert Goold's latest production follows the coronation of Prince Charles to examine what it means to rule Britannia.Producer: Katy Hickman.