# Evolutionary game theory: the mathematics of evolution and collective behaviours

arXiv: https://arxiv.org/abs/2311.14480 · HTML: https://mlsanity.com/paper/2311.14480/

## Key facts

- No citing papers in the map yet (data through 14 Oct 2026).
- Builds on 2 of its 18 references that are in the map.
- First posted on arXiv 24 Nov 2023.

## Builds on (most cited first, 2 of 2)

- [Statistical physics of human cooperation](https://mlsanity.com/paper/1705.07161/) (2017)
- [Mediating Artificial Intelligence Developments through Negative and Positive Incentives](https://mlsanity.com/paper/2010.00403/) (2020)

## Abstract (arXiv)

This brief discusses evolutionary game theory as a powerful and unified mathematical tool to study evolution of collective behaviours. It summarises some of my recent research directions using evolutionary game theory methods, which include i) the analysis of statistical properties of the number of (stable) equilibria in a random evolutionary game, and ii) the modelling of safety behaviours' evolution and the risk posed by advanced Artificial Intelligence technologies in a technology development race. Finally, it includes an outlook and some suggestions for future researchers.