# Punishment and inspection for governing the commons in a feedback-evolving game

arXiv: https://arxiv.org/abs/1807.05484 · HTML: https://mlsanity.com/paper/1807.05484/

## Key facts

- Cited by 2 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 15 Jul 2018.

## Built on by (most cited first, 2 of 2)

- [Modeling the effects of environmental and perceptual uncertainty using deterministic reinforcement learning dynamics with partial observability](https://mlsanity.com/paper/2109.07259/) (2021)
- [An Evolutionary Computation Framework for Multi-Agent Q-Learning with Mean-Field Environmental Feedback](https://mlsanity.com/paper/2609.13253/) (2026)

## Abstract (arXiv)

Utilizing common resources is always a dilemma for community members. While cooperator players restrain themselves and consider the proper state of resources, defectors demand more than their supposed share for a higher payoff. To avoid the tragedy of the common state, punishing the latter group seems to be an adequate reaction. This conclusion, however, is less straightforward when we acknowledge the fact that resources are finite and even a renewable resource has limited growing capacity. To clarify the possible consequences, we consider a coevolutionary model where beside the payoff-driven competition of cooperator and defector players the level of a renewable resource depends sensitively on the fraction of cooperators and the total consumption of all players. The applied feedback-evolving game reveals that beside a delicately adjusted punishment it is also fundamental that cooperators should pay special attention to the growing capacity of renewable resources. Otherwise, even the usage of tough punishment cannot save the community from an undesired end.