Update: Here is a combined version of all three parts: Three puzzles on mathematics computations and games. Thanks for the remarks and corrections. More corrections and comments welcome.
Dear all, here is the draft of the second third of my paper for ICM 2018. Corrections and comments are very welcome! This part is around voting games and election rules, Boolean functions and their Fourier representation, noise stability and sensitivity especially of percolation, and a little circuit complexity and PCP. Corrections and comments are most welcome.