Multi-Agent Differential Games under an Altruistic Equilibrium

Author

Craig Alan Lovell, University of Texas at ArlingtonFollow

Graduation Semester and Year

Spring 2025

Language

English

Document Type

Thesis

Degree Name

Master of Science in Aerospace Engineering

Department

Mechanical and Aerospace Engineering

First Advisor

Kamesh Subbarao

Abstract

This work studies a multi-agent differential game with linear dynamics under the Berge equilibrium. The governing coupled differential equations for a two-agent and a three-agent game under the Berge equilibrium are derived. These games are simulated and compared to the Nash equilibrium. A sensitivity study is performed which validates that, under some criteria, the Nash equilibrium can be recovered from the Berge equilibrium. Policy fusion between the Berge and Nash equilibrium is explored in a two-agent game. A five-agent game under the Berge equilibrium is simulated and multiple teams of agents in this game are evaluated. Finally, a mixed game, with agents under either the Nash or Berge equilibrium, is evaluated in simulation.

Keywords

mult-agent, differential games, berge, altruistic, multiplayer

Disciplines

Multi-Vehicle Systems and Air Traffic Control | Navigation, Guidance, Control and Dynamics

License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Recommended Citation

Lovell, Craig Alan, "Multi-Agent Differential Games under an Altruistic Equilibrium" (2025). Mechanical and Aerospace Engineering Theses. 1032.
https://mavmatrix.uta.edu/mechaerospace_theses/1032