학술논문

On a Connection between Differential Games, Optimal Control, and Energy-based Models for Multi-Agent Interactions
Document Type
Working Paper
Source
Subject
Computer Science - Robotics
Computer Science - Artificial Intelligence
Computer Science - Computer Science and Game Theory
Computer Science - Machine Learning
Computer Science - Multiagent Systems
Language
Abstract
Game theory offers an interpretable mathematical framework for modeling multi-agent interactions. However, its applicability in real-world robotics applications is hindered by several challenges, such as unknown agents' preferences and goals. To address these challenges, we show a connection between differential games, optimal control, and energy-based models and demonstrate how existing approaches can be unified under our proposed Energy-based Potential Game formulation. Building upon this formulation, this work introduces a new end-to-end learning application that combines neural networks for game-parameter inference with a differentiable game-theoretic optimization layer, acting as an inductive bias. The experiments using simulated mobile robot pedestrian interactions and real-world automated driving data provide empirical evidence that the game-theoretic layer improves the predictive performance of various neural network backbones.
Comment: International Conference on Machine Learning, Workshop on New Frontiers in Learning, Control, and Dynamical Systems (ICML 2023 Frontiers4LCD); added further related work in Energy-based Model sections in V2