https://github.com/paramrathour/game-theory

Files related to my Summer of Science Report on Game Theory
https://github.com/paramrathour/game-theory

bayesian-game dominant-strategy extensive-form-games matrix-game nash-equilibrium strategic-game utility-theory

Last synced: 26 days ago
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Files related to my Summer of Science Report on Game Theory

• Host: GitHub
• URL: https://github.com/paramrathour/game-theory
• Owner: paramrathour
• Created: 2021-07-19T20:27:56.000Z (over 3 years ago)
• Default Branch: main
• Last Pushed: 2023-12-10T14:55:50.000Z (about 1 year ago)
• Last Synced: 2023-12-11T15:35:46.289Z (about 1 year ago)
• Topics: bayesian-game, dominant-strategy, extensive-form-games, matrix-game, nash-equilibrium, strategic-game, utility-theory
• Language: TeX
• Homepage:
• Size: 47.4 MB
• Stars: 1
• Watchers: 1
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README.md

Awesome Lists containing this project

README

        
This repository contains my report on **Game Theory** and its

corresponding files for *Summer of Science* conducted by *Maths and Physics Club

IIT Bombay*.

![](Thumbnail.svg)

Introduction

------------

**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](Braess%20Paradox.mkv).

**The Report can be viewed** [here](Game%20Theory.pdf).

**My presentation on Braess's Paradox can be viewed here** - [video](Braess%20Paradox.mkv), [slides](Braess%20Paradox.pdf).

TeX-nical Details

-----------------

[This](Game%20Theory.tex)

is the primary TeX file which is to be compiled to get the report.

[This](References.bib)

is the BibTeX file containing the references used by me.