In seeking to understand the historic, divisive and to some bewildering Brexit vote, I will turn to theatre. Through my regular exposure to it, I can number among my ever-widening acquaintance a young king, a whistleblower, a minimum-wage movie usher, a recovering alcoholic, a passionate teacher, a grieving parent, a struggling miner, an evangelical preacher, an underpaid social worker, a dementia sufferer, and a pair of star-crossed lovers.

In the opening scene of Boys Will Be Boys, the lead character, Astrid, talks about how there’s a boys’ world and a girls’ world. Boys’ world is where you want to be. That’s where power is, that’s where fun is. Boys get to be boys and that means holding all the cards, and doing whatever the fuck you want. How do women get into boys’ world when they’ve got a vagina?

It begins promisingly, a dark Gothic fairy tale – both Grimm and grim. The writhing witches (four, oddly) are summoned from a pile of dead bodies, Stefan Fichert’s eerie puppetry all chopped-up limbs and interchanging demonic heads, hands scuttling across the floor like a spider, and disembodied voices chanting and haunting. Then the spell is broken and “what seem’d corporal melted”.

As we finally go to the polls, casting votes based on our view of national identity and Britain’s place in the world, here comes Shakespeare’s ever-topical play. Robert Hastie’s thoughtful take is contemporary dress but stripped back, not so much holding up a mirror as inviting us to project modern concerns onto it.

There's a one-man play inside every politician – and a one-woman play behind each male leader. Linda Griffiths's and Paul Thompson's solo show, Maggie and Pierre, explores Maggie Trudeau's struggle with bipolar disorder and her temptestuous relationship with Canadian Prime Minister Pierre Trudeau (father of current PM Justin Trudeau). Written in 1979 but only now receiving its European premiere, this is an ambitious attempt to explore the personal fissures that politics creates.

It’s a little over two years since I was approached to adapt The Mighty Walzer by Howard Jacobson for Manchester Royal Exchange. I was living in Liverpool at the time and had recently seen That Day We Sang by Victoria Wood at the Exchange. It was terrific, wonderfully directed by Sarah Frankcom. I had never seen a musical in the round before, it was so dynamic. There’s nowhere to hide in the round, you can’t get away with anything, you’re totally exposed, and I remember thinking how great it would be to write for such a space.

In the town of Nizhny Novgorod where Maxim Gorky was born, it was said that “the houses are made of stone, the people of iron”. Vassa Zheleznova, the titular matriarch of this rarely performed play, is one such person. She is a businesswoman of steely will and juggernaut energy whose tragedy is to see her family destroyed by the same bourgeois values that she has fought so fiercely to preserve.

Who do you trust? The EU Referendum campaign has exposed a mounting suspicion of the establishment, from financial institutions to press and politicians, and our sense of nationhood has never been murkier. But if we cease to believe in anything, how does that affect our sense of self?

Harold Brighouse's time-honoured English comedy from a century ago survives, its virtues mostly intact especially once attention shifts away from the snarling patriarch of the title, Henry Horatio Hobson (a padded Martin Shaw), to the generation of women beneath him – his peppery, politically and socially progressive eldest daughter, Maggie (Naomi Frederick), chief among them.

The Holland Festival is one of the greats. It has a British director, the articulate Ruth Mackenzie, formerly of the Chichester Festival and the cultural Olympiad, now into her second year. It’s the same age as Edinburgh and Avignon – 70 in 2017 – but not as well known, though it should be. “We must,” Mackenzie says, “seriously punch above our weight. And we do.” The festival was founded after the Second World War on, comparable to the Scottish and French ones, principles of reconciliation and presenting the best productions of the human spirt.