A commission brief is when a larger company outsources to a smaller independent company and gets them to create a product for them, usually the independent company will be paid for this. An example of this could be a larger company hiring a specific person with very good Photoshop and illustrator skills to edit a poster for them. They would then be paid for this and possibly given royalties. Another example is ITV, ITV do not have their own TV studios so they hire other companies to make their content. The companies are usually then credited at the end of the programme. A commission brief will usually be given to a company along with a negotiated budget.
A Cooperative brief involves a client hiring more than one company to complete a brief. These companies will then have to work together in order to complete the given task, the two companies may specialise in two very different areas in order to add a dynamic to a project or they may be similar and paired up in order to ease the work load. This type of brief risks there being disagreements between the companies due to them having different visions of how the project should work. However, this can also help create some of the best ideas because of the contrasting opinions helping to create something even more unique.