What is the difference between wage employment and self employment?

Self-employed people work for themselves, and are responsible for generating their source of income, paying taxes and payroll deductions (or otherwise compensating for them), supplying their own work space/place and all services, materials, equipment, sub-contracting etc.; they might be artists or writers or business/technology consultants hired by companies. They might *also* be entrepreneurs if they started their own business, or developed a product or service. Entrepreneurs start things, invent things and introduce them to the marketplace--by definition, an entrepreneur is self-employed, but someone who is self-employed isn't necessarily an entrepreneur.