2026-05-26
Introspection dynamics is a nice population dynamic that was originally formulated in 2022. In this paper Harry, Sebastian and I describe how for some games (which we call "state independent") it can be decomposed allow for an explicit formula for the steady state probabilities.
What is nice about this is that it work for heterogeneous players. Allow for the probability of cooperation in very large and very different populations to be computed easily (\(O(N)\)).
@misc{foster2026exactcooperationformulaintrospection,
title={An Exact Cooperation Formula for Introspection Dynamics in the Heterogeneous Public Goods Game},
author={Harry Foster and Vincent A. Knight and Sebastian Krapohl},
year={2026},
eprint={2605.23513},
archivePrefix={arXiv},
primaryClass={cs.GT},
url={https://arxiv.org/abs/2605.23513},
}