Diversity is Key: Fantasy football dream teams under budget constraints

Imagine you are managing a football team and have a fixed budget for salaries. Which players should you draft for your team? We investigated this question using the wealth of data available from fantasy premier league football (soccer). Using the players' data from past seasons, for several seasons and several different budget constraints, we identified the highest scoring fantasy team for each season subject to each budget constraint. We then investigated quantifiable characteristics of these teams. Interestingly, across nearly every variable that is significant to the game of football and the budget, these top teams display diversity across these variables. Our results indicate that diversity is a general feature of top performing teams.