# Game Theory Problem Ideas

i am an ib student and need to write an extended essay on math. Basically extended essay is a 4000 word limited article which focuses on a problem, however I need some ideas to write about in my extended essay. I have a interest in game theory and real analysis, and want to write about that topic but I need a specific problem just like a prisoners dilemma. I am open to any ideas, if you have an idea that is not related to game theory, please mention and i can take into consideration but remember that i am only a high school student.

• What about number theory ? An interesting topic could be the representation of a fraction as a sum of egyptian fractions (fractions with numerator $1$). Would this be the proper topic ? Alternative, prime factorization would be an interesting topic. – Peter Aug 17 '17 at 10:31