Anarchism is a political philosopy believing that the State inherently has too much power and authority or role in peoples lives and that people should "govern" themselves. They believe in a society without rulers. They range from people who are strident individualists to those who prefer collective decision making. They prefer non aggression and non-violence tactics. A few see bringing down the state by any means possible.
Whether it is Antonio Gramscii or Karl Marx, it all depends on your point of view. Many anarchists share the same belief that they prefer a world without leaders. Some want all the decisions to be done collectively, while others prefer a more "libertarian" approach to make sure that one has their individual rights first.