This repository contains my report on Game Theory and its corresponding files for Summer of Science conducted by Maths and Physics Club IIT Bombay.
Game Theory is the science of strategy. It is the study of mathematical models of strategic interaction among rational decision-makers, spreading across scientific disciplines like a spider's intricate web. It attempts to determine mathematically and logically the actions that players should take to secure the best outcomes for themselves in a wide array of games. The games it studies range from chess to child rearing and from tennis to takeovers, from exciting auctions to things of great importance like voting.
Here, we study the rigorous mathematics behind this topic and explore its application in various fields.
This report is divided into parts: Theoretical foundations of Non-Cooperative Game Theory followed by Cooperative Game Theory then Mechanism Design. Finally, I encourage you to look at different Games and their exciting results. Check out my Braess’s Paradox Video here.
The Report can be viewed here.
My presentation on Braess's Paradox can be viewed here - video, slides.
This is the primary TeX file which is to be compiled to get the report.
This is the BibTeX file containing the references used by me.