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A Proof

Neural Information Processing Systems

In Section 4.2, we have shown the effectiveness of In Section 3.4, we have analyzed that I2Q can easily solve the task with multiple optimal joint policies. Here, we give another way to solve this problem. D3G cannot obtain a winning rate in SMAC, as shown in Table 1. Although QSS value is a biased estimation in this implementation, the implementation without forward model is practical. The results are shown in Figure 16.





Strategic Behavior is Bliss: Iterative Voting Improves Social Welfare

Neural Information Processing Systems

Recent work in iterative voting has defined the additive dynamic price of anarchy (ADPoA) as the difference in social welfare between the truthful and worst-case equilibrium profiles resulting from repeated strategic manipulations. While iterative plurality has been shown to only return alternatives with at most one less initial votes than the truthful winner, it is less understood how agents' welfare changes in equilibrium. To this end, we differentiate agents' utility from their manipulation mechanism and determine iterative plurality's ADPoA in the worst-and average-cases. We first prove that the worst-case ADPoA is linear in the number of agents. To overcome this negative result, we study the average-case ADPoA and prove that equilibrium winners have a constant order welfare advantage over the truthful winner in expectation. Our positive results illustrate the prospect for social welfare to increase due to strategic manipulation.





Provably Efficient Online Hyperparameter Optimization with Population-Based Bandits

Neural Information Processing Systems

Many of the recent triumphs in machine learning are dependent on well-tuned hyperparameters. This is particularly prominent in reinforcement learning (RL) where a small change in the configuration can lead to failure. Despite the importance of tuning hyperparameters, it remains expensive and is often done in a naive and laborious way. A recent solution to this problem is Population Based Training (PBT) which updates both weights and hyperparameters in a single training run of a population of agents. PBT has been shown to be particularly effective in RL, leading to widespread use in the field. However, PBT lacks theoretical guarantees since it relies on random heuristics to explore the hyperparameter space.