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Reward-Rate Congestion Games and Replicator--Dinkelbach Dynamics
Hassan Abdelraouf, Vaibhav Srivastava, Vijay Gupta
Reward rate is a key performance criterion in cyber-physical and robotic systems where time, workload, and coordination costs are limiting resources. We introduce reward-rate conge…
Stabilization Limits of Payoff-Based Higher-Order Replicator Dynamics
Hassan Abdelraouf, Vijay Gupta, Jeff S. Shamma
Replicator dynamics (RD) is a fundamental model in learning in games, connecting evolutionary game theory and online learning. This paper studies payoff-based higher-order variants…
Convergence of Payoff-Based Higher-Order Replicator Dynamics in Contractive Games
Hassan Abdelraouf, Vijay Gupta, Jeff S. Shamma
We study the convergence properties of a payoff-based higher-order version of replicator dynamics, a widely studied model in evolutionary dynamics and game-theoretic learning, in c…
Can a Learner Regret Using a No-Regret Algorithm? A Control-Theoretic Study of Performance Dominance
Hassan Abdelraouf, Jeff S. Shamma
No-regret learning dynamics ensure that a learner asymptotically achieves an average reward no worse than that of any fixed strategy. This no-regret guarantee does not determine th…