It's been a busy bank holiday Sunday on the politics front. Among other things, we learned today that Steve Hilton - former adviser to David Cameron - is a long-term fan of Harriet Harman. Anyway, here are the main political stories of the day so far:

-  Labour EU-turn - acting leader Harriet Harman has said Labour will now support plans for an EU referendum by the end of 2017.  

- Limiting the rights of EU migrants to claim tax credits will be a key part of the renegotiation,  Business Secretary Sajid Javid said .  

- The business secretary also ruled out returning to proposals to make it easier for firms to sack staff using no fault dismissals .

-  Rushanara Ali is entering the contest to be deputy Labour leader, with a pledge to target former supporters who have switched to UKIP.

- Former Deputy Prime Minister Lord Prescott has said he is backing Andy Burnham to be the next leader of the Labour Party.  

- Scottish Labour MSP Ken Macintosh needs to "spell out" his accusations against the "party machine", a former first minister has told the BBC .

Thanks for joining us and Politics Live will be back on Tuesday morning as the build-up to the Queen's Speech gets into full swing.

David Cameron's former strategy adviser Steve Hilton says he could run for office in the future - possibly to be London mayor.

Mr Hilton told 5 live's Pienaar's Politics he loved the idea of being able to "make a difference" and "help people live a better life" in a city.

He also said that if he never ran for office he would probably "regret it".

But he said anything would be a long way off, as he was focused on his job in California, running a tech company.

Read full story

More from the Sunday papers - government ministers' pay will remain frozen for the next five years, David Cameron has announced

Writing in the Sunday Times, external , the prime minister said we were "all in this together" when it came to paying off the national debt.

His pledge will save about £800,000 a year and £4m by 2020.

The decision means ministerial pay will not have risen for a decade by the end of parliament. Cabinet ministers currently receive a salary of £134,565.

This includes their pay as MPs. The prime minister is paid a total of £142,500.

Read more

In case you missed the morning papers, former Deputy Prime Minister Lord Prescott has said he is backing Andy Burnham to be the next leader of the Labour Party.

Writing in the Sunday Mirror, external Lord Prescott said Mr Burnham had "one thing all leaders crave - the common touch".

He also criticised former leader Ed Miliband for resigning "prematurely" and "before the successor could be elected".

He likened Mr Burnham to that of former Labour Prime Minister Tony Blair.

Pascal Lamy,, external  one of Europe's most senior politicians, says David Cameron will be met with "understanding" by fellow European leaders as he goes about his renegotiation - they know how hard it is to win an election or a referendum, he tells The World This Weekend.

"He starts this discussion with a credit. He shouldn't overdraw on his credit," Mr Lamy continues. 

The former director general of the World Trade Organization says Mr Cameron's time frame - a referendum before the end of 2017 - isn't compatible with wholesale EU treaty changes, which take an "extremely long time".

What if the UK did leave? "I think it would be bad news. I think it would hit the, sort of, credibility [of the EU]," Mr Lamy says. The rest of the world - China and the US, for example - see the European Union as having brought about "two miracles" - peace between France and Germany, and the UK as part of Europe, and a Brexit would clearly destroy one of them.

BBC Radio 4

Lord Hill says he thinks he can "play a role in helping both sides understand each other" during the EU renegotiation process. "That's best done quietly behind the scenes," he says.

Two things really matter, though, he tells The World This Weekend. "First, the wish, desire, on the part of other countries for Britain to remain part of the EU is very strong.

"Secondly, Europe is very good at finding solutions to problems when it sets its mind to it."

BBC Radio 4

Lord Hill - a former member of David Cameron's cabinet and now his EU commissioner - has thrown his weight behind the UK remaining inside the EU.

He told The World This Weekend: "The business benefits of our membership, the benefits to Britain for geopolitics and for our diplomacy generally, the benefits to be able to try to deliver meaningful free trade agreements, either with the United States or with China. Those to me all seem like an extraordinarily strong case to stay in.

"I think it's true in politics as in life that you can't have your cake and eat it. You can't have easy access to a single market, you can't be part of free trade negotiations, you can't be part of an effective European diplomacy, without being a full member of it."

Business Secretary Sajid Javid whistled through quite a few topics on The Andrew Marr Show this morning, presenting a challenge to our speedy typing. He ruled out revisiting proposals to make it easier for firms to sack staff using "no fault" dismissals.

The  Beecroft report, external  on employment law in 2012 suggested small firms be able to dismiss people without a reason, in return for paid compensation.

But the plan, which would have cut unfair dismissal cases, was  blocked in the coalition  by the Lib Dems.  Read more.

Image source, Reuters

UKIP leader Nigel Farage has given his thoughts on Labour's decision to drop its opposition to an EU referendum.

Mr Farage said Labour "pre-rejecting" any arguments about whether the UK could actually be better off outside the EU, showed "the paucity of vision and ambition they have for this country and its people".

Image source, Getty

The Labour leadership paddock is filling up, so in case you've lost track, we've rounded all of the runners and riders up in one place for you. It's important to remember, though, that some will fall at the first hurdle - stretching the metaphor a bit now, we know - because each one needs the backing of 35 of their fellow MPs in order to get their name on the ballot paper.

The Daily Telegraph

Earlier, we heard fighting talk from the SNP on the UK's possible withdrawal from the Human Rights Act - something that was in the Conservative manifesto. 

Today's Sunday Telegraph quotes, external one unnamed minister as saying they "will probably oppose it" and could resign over the issue. "The idea that my constituents should have fewer protections available as a last resort is not something that I can accept," the minister said.

Business Secretary Sajid Javid talked about tax credits earlier and changing what migrants to the UK could get. This is what he said in full: 

"If you have someone from the EU coming to Britain working full time, with a couple of kids, they would get around £700 a month, that's almost £8,000 a year in tax credits. That's twice as much as Germany, three times more than France would give. So you can see the pull that generates and that's the kind of thing we need to change... It's a very key part of our negotiation."

For background, tax credits are benefits given to supplement the income of people responsible for children, disabled workers and other workers on low salaries. They're tax-free, but means-tested, and eligibility depends on circumstances. For example, a household with one child may be eligible for some tax credits if collective income is less than £26,000 a year before tax. 

The Sun

Image source, PA

According to the Sun,, external Green Party leader Natalie Bennett has made it to Parliament despite not being elected as an MP. The paper says she has been appointed as a junior researcher for Green peer Baroness Jenny Jones.

Image source, AP

More on the subject of escalated military intervention against so-called Islamic State. Of course, at present, the UK is involved only in air strikes against the jihadist fighters in Iraq, but former Chief of the General Staff Lord Dannatt has said that needs to change., external

For his part, Conservative former defence secretary Liam Fox told Sky News the US would have to be the "prime mover" in any action.

"I think that is out of the question under the Obama presidency. I think even if he were to be persuaded that it was the right thing to do, and I'm not sure at all that he is, then I don't think he would be willing in the last year or so of his presidency to have that as his legacy given that he came to office saying he was going to withdraw America."

Dr Fox continued: "The second part of that is all these countries in the Middle East and beyond who say they don't want American influence in the Middle East are now really changing their tune and saying, 'Ah, it's not working, maybe it's time for America to re-engage.' You know, maybe it's time for the rest of us to start putting our money where our mouth is and having better collective security."

Paul Kenny, general secretary of the GMB union, has given his thoughts on Labour's EU volte-face.

Sky News

Image source, Sky News

Shadow Europe minister Pat McFadden told Sky News a little while ago he "can't see circumstances where Labour would recommend a no vote" to staying in the EU.

"I don't think that the European Union necessarily always works best by always threatening to leave. We've achieved change in the past by working with others, the prime minister is going to have to get some agreement from others to some of the changes that he wants so let's see what he comes up with." 

We're rushing through the political programmes at breakneck speed here, but if you want to know more on Rushanara Ali's deputy Labour leadership bid  or  her party's decision to switch tack on Europe  then your wish is our command.