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arxiv

Pareto Inefficiency of EFX

We consider the problem of allocating indivisible goods to agents with additive valuations, under two classic notions of fairness and efficiency: envy-freeness up to any good (EFX) and Pareto…

computer-vision
arxiv

Splitting Planar Necklaces with Few Straight Cuts

In the classical necklace splitting problem, beads of different colors lie on a line, and the goal is to divide them among $k$ agents using as few cuts as possible so that every agent receives the…

computer-vision
arxiv

Extending Mechanisms

Given an incentive-compatible mechanism for a single agent on a restricted domain of valuations, we consider its incentive-compatible extensions to the entire valuation space. We identify two extreme…

reinforcement-learning
arxiv

From POMDP Theory to Deep RL with Particle Filters

Model-based reinforcement learning in partially observable environments requires inferring hidden states, learning latent dynamics, and planning under the resulting belief. Practical algorithms often…

deep-learning
arxiv

Approximate Universal Prediction under Interaction

Bayesian mixtures, and Solomonoff induction in particular, provide an idealized model of prediction learned by minimizing population log loss, and they underlie universal agents such as AIXI. An…

deep-learning
arxiv

MMS Allocation for Chores with Item Disposals

Web platforms organize collective work, including content review and community maintenance, that imposes heterogeneous effort costs on participants. Fairly distributing these burdens while leaving as…

computer-vision
arxiv

Reliable AI-Assisted Decisions via Selective Auditing

We consider online monitoring of an AI system that produces a sequence of decisions. At each round, the system outputs a proposed decision together with a confidence score estimating the…

deep-learning