# An Addendum to the Problem of Zero-Sum LQ Stochastic Mean-Field Dynamic Games (Extended version)

arXiv: https://arxiv.org/abs/2302.09609 · HTML: https://mlsanity.com/paper/2302.09609/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 19 Feb 2023.

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

- [Mean Field LQG Social Optimization: A Reinforcement Learning Approach](https://mlsanity.com/paper/2410.15119/) (2024)

## Abstract (arXiv)

In this paper, we first address a linear quadratic mean-field game problem with a leader-follower structure. By adopting a Riccati-type approach, we show how one can obtain a state-feedback representation of the pairs of strategies which achieve an open-loop Stackelberg equilibrium in terms of the global solutions of a system of coupled matrix differential Riccati-type equations. In the second part of this paper, we obtain necessary and sufficient conditions for the solvability of the involved coupled generalized Riccati equations.