Ising game with self-excitation

In this talk, I will discuss what a binary choice game is, how it is related to statistical mechanics, what it has in common with magnetics and what are the differences. I will also briefly explain what random Hawkes processes are and why they can be excited. The main attention will be paid to the simple game-theoretic model invented by the authors, in which a number of interesting phenomena occur that have no direct analogs in magnetics, as well as theoretical methods for describing such systems.