Left-wing anarchism is an radical form of left-wing libertarianism. It is a form of politics which believes capitalism and the government both need to be abolished. Left-wing anarchists want to end private property because they believe people who own it have unfair control over others. They want a future based on people voluntarily working to help each other, instead of for money, but they want these things to happen without a state. They wants a society where there is no one in charge. Each person does what they need to without others to lead them. Left-wing anarchism is often a synonym for socialist anarchism and libertarian socialism. Left-wing anarchists have participated in anti-globalization protests. For example, the protest in 1999 against the World Trade Organization in Seattle.
Ulrike Heider, a syndicalist, grouped anarchism into left-wing anarchism, right-wing anarchism (anarcho-capitalism), and green anarchism. Others who study anarchists, including Murray Bookchin, do not agree with her. They say her research was not good enough. Left-wing anarchism is distinguished from free-market anarchism and right-wing anarchism (such as that of Murray Rothbard).