Towards Optimal Algorithms for Multi-Player Bandits without Collision Sensing Information
This addresses a key limitation in multi-player bandit algorithms for scenarios like wireless communication, though it appears incremental as it builds on existing methods.
The paper tackles the problem of multi-player multi-armed bandits without collision sensing information by proposing a novel algorithm that eliminates the need for a lower bound on minimal expected reward and avoids performance scaling inversely with it, achieving improved performance in numerical experiments.
We propose a novel algorithm for multi-player multi-armed bandits without collision sensing information. Our algorithm circumvents two problems shared by all state-of-the-art algorithms: it does not need as an input a lower bound on the minimal expected reward of an arm, and its performance does not scale inversely proportionally to the minimal expected reward. We prove a theoretical regret upper bound to justify these claims. We complement our theoretical results with numerical experiments, showing that the proposed algorithm outperforms state-of-the-art in practice as well.