# Steering the distribution of agents in mean-field and cooperative games

arXiv: https://arxiv.org/abs/1712.03578 · HTML: https://mlsanity.com/paper/1712.03578/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 10 Dec 2017.

## Built on by (most cited first, 1 of 1)

- [Aligned Alone, Misaligned Together: Forecasting Adversarial Capture in LLM Agent Populations](https://mlsanity.com/paper/2608.22444/) (2026)

## Abstract (arXiv)

The purpose of this work is to pose and solve the problem to guide a collection of weakly interacting dynamical systems (agents, particles, etc.) to a specified terminal distribution. The framework is that of mean-field and of cooperative games. A terminal cost is used to accomplish the task; we establish that the map between terminal costs and terminal probability distributions is onto. Our approach relies on and extends the theory of optimal mass transport and its generalizations.