What you have here is a great personal statement that shows the development of your interest in Game Design and Development. You have also shown a solid foundation in terms of your academic background in reference to this interest. However, it does not signify a proper statement of purpose for a masters course. Since you have an interest in completing a masters in Game Design and Development, the statement of purpose should reflect the reasons for your interest in pursuing this field on a more advanced level.
There are actually some sections in this presentation that you can use as a part of your statement of purpose. Paragraphs 3 and 4 can be modified to reflect the direction that you hope your future career in this field will be taking. These represent your professional foundation in reference to your relevant educational background. However, the reason for your interest is incomplete. You need to have at least a 6 month career plan culminating in a 5 year career plan presented as a part of the purpose for your studies.
If you want to create a more solid presentation, focus your purpose on the following theme:
"Why can't they make games that run regardless of the system hardware a person possesses?"
That offers a clear, self, explanatory purpose for your studies. All you have to do after that, is develop the purpose based on your vision for either an open source game console or, an open source game, which will see reality perhaps as your kickstarter project or something. Then relate how the purpose fits in with the masters curriculum. Make sure the purpose ties in with 3 things at all times:
- Your future career
- The curriculum of the university
- How the additional studies will help you achieve your goals and ambitions