## How to Lose Blackjack (Optimally)

This post is all about the game of blackjack. What is the optimal strategy? How much money can you expect to win on average, if you play optimally? Should you decide to play at all?

## The Prisoner’s Dilemma on Groundhog Day

The prisoner’s dilemma is a famous problem in game theory, where it is always rational to choose betrayal despite the fact that mutual co-operation is better for both players. Does co-operation ever make sense in problems like this?

This post is about finding representations of words as points in a vector space, where words with similar meanings are represented by points that are close together. This representation will give mathematical meaning to relationships like “king – man + woman = queen”.

## Particle Filtering and COVID-19 (Part 2 – The Bootstrap Filter)

This is the second part of a series on using particle filtering in epidemiology. This post will introduce the bootstrap particle filter, a computationally efficient method for inferring the true case numbers in the filtering problem.

## Particle Filtering and COVID-19 (Part 1 – The Filtering Problem)

You’ve probably heard a lot about “particle filtering” in the last few years in the context of mask wearing. What you might not know is that particle filtering is also the name of a family of algorithms useful in epidemiology.

## Stable Marriage and Kidney Donation

Given a large number of incompatible patient-donor pairs, can we organise a large scale kidney exchange so that as many patients as possible recieve a compatible kidney?