These have proved controversial, with critics - including some Lib Dems - warning of "back-door privatisation".
The last Lib-Lab pact, in 1977-78 during the premiership of James Callaghan, ended in tears.
Three parties - Labour, Tories and Lib Dems - have also named candidates for Wales' first double by-election.
BBC: NEWS | UK | Wales | South East Wales | MP's widow to fight assembly seat
Without Lib Dem support - and with Labour also opposed - the government would lose any vote, he said.
There are pictures of the Lib Dem leader - now the Deputy Prime Minister - Nick Clegg standing beside his party's posters denouncing any such increase.
That's why we built the coalition with the Lib Dems - A Partnership with Scotland - founded, as every honest coalition must be, on a common approach.
There are local-council by-elections, which tend to show stronger Lib Dem and less-good Labour performances than the national polls but still suggest that the Tories are way behind.
Vince Cable could try to frame an attack on both the big parties and their non-dom Lords - but remember the Lib Dems have also taken money from non-doms.
Mr Clegg, who is visiting the Hampshire town on Wednesday, said there were "very clear" differences between the policies of the Lib Dems - who control Eastleigh council - and the Conservatives.
Now, you cannot - even if the Lib Dems allowed it - introduce a regional benefit cap, or end housing benefit for under-25s and so on - because there is not the time left.
Although they are in coalition nationally, Mr Clegg said there were "very clear" differences between the policies of the Lib Dems - who control Eastleigh council - and the Tories in the marginal constituency.
BBC: Eastleigh by-election 'two-horse race' claims Nick Clegg
And Blair is clearly trying to position himself as the sort of centre-right establishment party in British politics, the Lib-Dems are there to be the centre-left opposition, a little bit more tax a little bit more spend.
BBC: News | BREAKFAST WITH FROST | STEVEN NORRIS CONSERVATIVE VICE CHAIRMAN
After the results of two devolution referendums in Scotland and Wales went against the now minority Labour government - the Lib-Lab pact of the previous year was well and truly over - the nationalists withdrew their support from Labour.
He says he is serious about getting elected in July and he promises, or perhaps that should be threatens, to unleash the full force of the Lib Dem by-election machine - including the infamous Focus leaflets - to help fight his cause.
On the question of why the Palestinian-born Jordanian had never been prosecuted in the UK, Lib Dem peer Lord Macdonald - director of public prosecutions from 2003 to 2008 - told BBC News he had never been shown any evidence to support a criminal prosecution.
All the candidates were asked to respond to the complaints but several parties - including the Lib Dems, Conservatives and Labour - have not commented.
In other words what was emerging was - in the Lib Dems' view - a sense that there had not been complete intransigence from the other EU states overnight.
There was a big swing to Labour, and the winning candidate - himself a former Lib Dem - was Mike Hannon.
BBC: Lib Dems told health reforms could be electoral suicide
Yet Lib Dem MPs - casting a gloomy eye over the polls - fear the only policy the public associate with them is their broken pledge on tuition fees.
But the agreement - or carve-up, as the Tories see it - between Labour and Lib Dem GLA members to vote the former's Trevor Phillips and the latter's Sally (Baroness) Hamwee as alternating chair and deputy chair of the assembly will give the party more of a high-profile position.
On Tuesday, 26 coalition MPs - 16 Conservatives and 10 Lib Dems - voted against the government by backing a House of Lords amendment stipulating that individual councils should be given the right to opt out of the temporary planning rules changes.
Although roughly even numbers of seats would be lost across the parties - 16 Conservative, 17 Labour and 14 Lib Dems - that would represent 24.6% of the seats the Lib Dems won last year, compared to 5.2% for the Tories and 6.6% Labour.
But many on the left fear that a voting system that is likely to produce Lib-Lab coalition governments will wrench New Labour even further from its trade-union and socialist roots.
An elected Lords is a long-cherished goal of the Lib Dems but one opposed by many Conservatives - more than 90 of whom defied the government in a vote on the issue in July.
David Heath - Ms Harman's opposite number in the Lib Dems - asked that Justice Secretary Jack Straw be asked to address the debate in Westminster Hall, but Ms Harman suggested it might be upgraded and held in the Commons chamber.
The Lib Dem-controlled authority said the posts being cut are made up of part-time, vacant and job-share positions.
If the coalition works, voters may warm to the idea of power-sharing, and to the proportional voting systems that inevitably give rise to it. (A referendum on the alternative-vote electoral model, which the Lib Dems prefer over Westminster's first-past-the-post system, is part of the deal.) And the Lib Dems got all this despite flopping at the polls.
But the overall bonus pool for London will still be several billion pounds, which will be viewed by many - including many Lib Dems - as too much.
Every success modifies the behaviour of the party, as activists associate Lib Dem-Labour co-operation with that success.
This will be led by Lib Dem former minister- Sarah Teather, who chaired a cross-party parliamentary inquiry into the issue, under the aegis of the Children's Society.
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