Are you interested in complex systems, opinion dynamics, or the voter model? Do you have a Master's degree in Physics or Mathematics and a good grasp of statistics and numerical simulation? Would you like to work together with me as your PhD supervisor? If so, apply for a PhD position at the Institute of Theoretical Physics and Astronomy (part of the Faculty of Physics at Vilnius University).

Last week I have shared a story about Colonel Blotto tournament I held back when I still used to teach Matlab. This tournament is interesting from the perspective of Physics of Risk, because it was designed to encourage adaptive strategy. Admittedly, only few students actually did that, but...

Anyway, let us build an adaptive strategy for one of the variations of the Colonel Blotto game we have explored recently. Let us revisit Colonel Blotto game with varied castles!

As I have already written couple of times, I used to teach Matlab. My experience was quite varied with many highs and as many lows. The high points were usually introducing and solving more complicated or involved problems, and also helping students to understand them. One time I held a tournament similar to Riddler Nation tournament hosted by Riddler on FiveThirtyEight, which was based on the Colonel Blotto game.

In this post I discuss the problem posed to my students. And I also provide a live session recording of me implementing Colonel Blotto tournament in Matlab.

Let us now apply the things we have learned from analyzing various iterations of Colonel Blotto game! At least from my perspective, football match resolution engine used in the Eleven: Football Manager Board Game is a variation of this game. Can we improve our performance by leveraging this knowledge?

Let us continue exploring Colonel Blotto game! In an earlier post, we became familiar with the basic premise of the model. Then, we have explored what happens when the castles (battlefields) have different importance. This time, let us consider a scenario with two types of troops: one that is slow and inexpensive, and another that is fast but more costly. What happens if we introduce this heterogeneity? Will you be able to beat AI strategy this time?