Tag Archives: Game Theory

Game Theory is a recent branch of mathematics which studies human (or animal) interactions.

John Nash, a Beautiful Mind | Genius 1

April 08, 2016Genius954 vuesEdit

MIT Glimpse (Episode 4)

April 02, 2016Web0 vuesEdit
I was interviewed in November 2015 by Alex Albanese on MIT Glimpse. We discussed Benford’s law, cake cutting, and online optimization. We also discussed how to pick the right toilet, why pi sucks, and why you should watch plenty of Youtube videos!

A Mathematical Guide to Selling

January 19, 2015Article2845 vuesEdit
How to best sell a good? Should we auction it like in movies? Since the 1960s, economists have addressed this question mathematically and found surprising results. Most notably, in 1981, Nobel prize winner Roger Myerson proved that most auctions you could think of would win you just as much as any basic auction, but that, as well, you could do better using his approach. Since, today, billions of dollars are at play in online auctions, you can imagine how hot a topic it has now become!

The New Big Fish Called Mean-Field Game Theory

February 05, 2014Article8785 vuesEdit
In recent years, at the interface of game theory, control theory and statistical mechanics, a new baby of applied mathematics was given birth. Now named mean-field game theory, this new model represents a new active field of research with a huge range of applications! This is mathematics in the making!

The Biology Civil War Opposing Kin to Group Selection

December 09, 2013Article2823 vuesEdit
In 2010, a controversial article published in Nature violently criticized the last 40 years of developments in evolutionary biology, triggering an ongoing war within the scientific community. This article explains the essence of the controversy!

Bayesian Games: Math Models for Poker

November 12, 2012Article5135 vuesEdit
How to better understand Poker and card games in general? Bayesian games provide the right mathematical model just for that! These correspond to games with incomplete information and include probabilistic reasonings.

Advanced Game Theory Overview

September 13, 2012Article4544 vuesEdit
This article gives an overview of recent developments in game theory, including evolutionary game theory, extensive form games, mechanism design, bayesian games and mean field games.

Game Theory and the Nash Equilibrium

August 20, 2012Article9448 vuesEdit
In the movie "A Beautiful Mind", the character is John Nash. He is one of the founders of a large and important field of applied mathematics called game theory. Game Theory is the study of human interactions. Its fallouts in economy, politics or biology are countless. This article gives you an introduction to the concepts of this amazing way of thinking.

Evolutionary Game Theory

July 31, 2012Article3424 vuesEdit
Evolutionary Game Theory is a relatively recent branch of game theory which studies the dynamics of games. Originally used to describe populations of species in biology, and more particularly, the consequences of their interactions to the evolution of their populations, this field now produces interesting results for economic and environmental modelings.

Mechanism Design and the Revelation Principle

April 19, 2012Article3550 vuesEdit
Whenever you need to make a group of people interact, you are designing a mechanism. If you want to achieve a good interaction, you need to make sure your mechanism is well designed. In this article, I'll show you main features of mechanisms through various examples. I'll also talk about a great mathematical tool for mechanism design: the revelation principle.

Regulation of Electricity Markets

April 14, 2012Article1482 vuesEdit
Electricity markets are not like any markets. In particular, they cannot be liberalized without regulation. In the article, I list the reasons why this market is specific and I conclude by giving you important features of a good regulation.

Fair Division and Cake-Cutting

April 10, 2012Article3956 vuesEdit
Cutting a cake to satisfy everyone is no piece of cake! In the article, we focus on classical definitions of fair divisions. I'll criticize those definitions and conclude by extrapolating them to fairness in society.