Tom Sutcliffe asks whether it's better to lead from the front, or advise from the side-line. The Deputy Chairman of Saatchi & Saatchi, Richard Hytner celebrates the latter: those who wield influence and authority away from the limelight. Heather Rabbatts has experience of being a Deputy and a Chief Executive in both politics and business. The academic Archie Brown looks back at the history of political leadership and questions whether strong leaders are the most successful and admirable, while Tony Blair's former chief of staff, Jonathan Powell turns to Machiavelli's The Prince for a primer on the art of government. Producer: Katy Hickman.

Anne McElvoy talks to the poet Simon Armitage about his dramatisation of The Last Days of Troy. His play, based on Homer's epic, reveals how cycles of conflict and revenge, pride and self-deception continue throughout history. Greek myth is at the heart of a new opera, Thebans, in which the playwright and poet Frank McGuinness draws on the tragedy of the mythical monarch Oedipus and his daughter Antigone. Natalie Haynes explores what happens when troubled teenagers become enthralled by Greek tales of cruel fate and bloody revenge in her debut novel, while Kenan Malik goes on a quest for a moral compass. Producer: Katy Hickman.

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.

Tom Sutcliffe looks at both the reality of police life and its portrayal. The playwright Roy Williams's latest drama is set in a police station in Kingston, Jamaica, revealing a world of corruption and intrigue. TV writer Sam Bain, of Peep Show fame, talks about Babylon, a drama which take a wry look at modern policing. The former police officer Christian Plowman explains what life was like undercover, and the criminologist Jennifer Brown looks back at the history of policing in the UK. Producer: Katy Hickman.

Tom Sutcliffe talks to AL Kennedy about her latest collection of short stories of love and hurt. The poet Lavinia Greenlaw retells the tragic love story of Chaucer's Troilus and Criseyde. The philosopher Simon Blackburn unpicks the idea of self-love from the myth of Narcissus to today's tv hair adverts: 'because you're worth it', while the humorist David Sedaris uses his own life and loves as the focus of his writing. Producer: Katy Hickman.

Anne McElvoy explores the roads not taken with the historian Richard Evans. Counterfactual history began as an Enlightenment parlour game and has become a serious academic pursuit, but Evans argues against endless speculation as to what might have been. The final meeting between Lawrence of Arabia and Faisal I of Iraq was an anti-climax which belied their history. The biographers of these two leaders, Scott Anderson and the former Iraqi politician Ali Allawi, place these men at the centre of the making of the modern Middle East. The writer Malu Halasa offers an alternative view of the violent events in Syria as she curates a book of political posters, comic strips, blogs and plays.Producer: Katy Hickman.

Nobel prize-winning psychologist Daniel Kahneman discusses decision-making. Michael Ignatieff explores moral choices in politics. Neurosurgeon Henry Marsh talks about the complexity of brain surgeries. Emotion clouding judgement is explored by writer Lisa Appignanesi through crimes of passion.

Tom Sutcliffe talks to Andrew Hussey about the often fraught relationship between France and its Arab ex-colonies, and how that plays out in the banlieues of Paris. The psychotherapist Gabrielle Rifkind recounts her experience of conflict resolution in the Middle East. While Rifkind emphases the need to understand what's happened in the past, the writer Ziauddin Sardar tries to imagine what the world would be like if we explored the future in a more systematic and scientific way.Producer: Katy Hickman.