The Social Democrats want to ban profiteering in schools and review the freedom of establishment for independent schools.
This directly affected the independent school group Academedia.
The stock lost 9.3 percent.
On Monday, sharp price falls occurred around the world linked to concerns about the Chinese real estate company Evergrande, which is deeply indebted, which is feared to have few consequences for the Chinese economy.
The Stockholm Stock Exchange started with a rise on Tuesday, but it slowed down and the stock market closed slightly.
On the OMXS30 index, the medical technology company Getinge, up 4.3 percent, did best.
This was followed by the cloud service company Sinch, which rose 2.9 percent.
Nordea and the mining company Boliden went in the other direction.
The shares fell 2.7 and 2.5 percent, respectively.
In the morning, Husqvarna, which makes lawnmowers and chainsaws, among other things, reported a profit warning.
According to the company, there is a risk of supplier problems with engines for lawnmowers and the share fell almost seven percent.
On Tuesday, the Riksbank published an interest rate announcement and on Wednesday, the US Fed will issue its interest rate announcement.
Prices rose on the leading European stock exchanges.
The FTSE100 index in London rose 1.1 percent, the DAX index in Frankfurt rose 1.4 percent while the CAC40 index in Paris rose 1.5 percent.