Aug 1, 2015
Simulating continuous Markov chains
In a blog post I wrote in 2013, I showed how to simulate a discrete Markov chain. In this post we’ll (written with a bit of help from Geraint Palmer) show how to do the same with a continuous chain which can be used to speedily obtain steady state distributions for models of queueing processes for example....
Jul 27, 2015
A talk on computational game theory in Sagemath
Today, Cardiff University, School of Mathematics students: James Campbell, Hannah Lorrimore as well as Google Summer of Code student Tobenna P. Igwe (PhD student at the University of Liverpool) as well as I presented the current game theoretic capabilities of Sagemath....
Jul 23, 2015
Using the two thirds of the average game in class
This past week I have been delighted to have a short pedagogic paper accepted for publication in MSOR Connections. The paper is entitled: “Playing Games: A Case Study in Active Learning Applied to Game Theory”. The journal is open access and you can see a pre print here. As well as describing some literature on active learning I also present some data I’ve been collecting (with the help of others) as to how people play two subsequent plays of the two thirds of the average game (and talk about another game also)....
Jun 25, 2015
On testing degeneracy of bi-matrix games
We (James Campbell and Vince Knight are writing this together) have been working on implementing code in Sage to test if a game is degenerate or not. In this post we’ll prove a simple result that is used in the algorithm that we are/have implemented....
Jun 14, 2015
Python, natural language processing and predicting funny
Every year there is a big festival in Edinburgh called the fringe festival. I blogged about this a while ago, in that post I did a very basic bit of natural language processing aiming to try and identify what made things funny. In this blog post I’m going to push that a bit further by building a classification model that aims to predict if a joke is funny or not. (tldr: I don’t really succeed but but that’s mainly because I have very little data - having more data would not necessarily guarantee success either but the code and approach is what’s worth taking from this post… 😪)....