A Game of "Society"
Here I have attached a document presenting my solution to the following problem, which was asked in IISc Bangalore’s 2020 Pravega event : "Gaussian Gambit". Specifically, the last question of Problem Set 1 : "A group of n students in a classroom are playing a game of ‘Society’. Each student has some friends (possibly none), and friendship is mutual. Every student begins with an integral amount of dollars (possibly negative). A move consists of some student giving $1 to each of their friends. We say that the game is fair if it is possible to transform the original distribution of money into any other arbitrary one with the same amount ...