Efficiently Solving Mixed-Hierarchy Games with Quasi-Policy Approximations

Abstract

Multi-robot coordination often exhibits hierarchical structure, with some robots’ decisions depending on the planned behaviors of others. While game theory provides a principled framework for such interactions, existing solvers struggle to handle mixed information structures that combine simultaneous (Nash) and hierarchical (Stackelberg) decision-making. We study N-robot forest-structured mixed-hierarchy games, introduce a quasi-policy approximation that removes higher-order policy derivatives, and develop an inexact Newton method for efficiently solving the resulting approximated KKT systems.

Publication
Workshop on the Algorithmic Foundations of Robotics (WAFR) 2026
Tianyu Qiu
Tianyu Qiu
Ph.D. Student @ UT Austin