MPOGames: Efficient Multimodal Partially Observable Dynamic Games
October 19, 2022 Β· Declared Dead Β· π IEEE International Conference on Robotics and Automation
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Authors
Oswin So, Paul Drews, Thomas Balch, Velin Dimitrov, Guy Rosman, Evangelos A. Theodorou
arXiv ID
2210.10814
Category
cs.GT: Game Theory
Cross-listed
cs.RO,
math.OC
Citations
14
Venue
IEEE International Conference on Robotics and Automation
Last Checked
6 months ago
Abstract
Game theoretic methods have become popular for planning and prediction in situations involving rich multi-agent interactions. However, these methods often assume the existence of a single local Nash equilibria and are hence unable to handle uncertainty in the intentions of different agents. While maximum entropy (MaxEnt) dynamic games try to address this issue, practical approaches solve for MaxEnt Nash equilibria using linear-quadratic approximations which are restricted to unimodal responses and unsuitable for scenarios with multiple local Nash equilibria. By reformulating the problem as a POMDP, we propose MPOGames, a method for efficiently solving MaxEnt dynamic games that captures the interactions between local Nash equilibria. We show the importance of uncertainty-aware game theoretic methods via a two-agent merge case study. Finally, we prove the real-time capabilities of our approach with hardware experiments on a 1/10th scale car platform.
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