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arXiv · 2408.01027

Randomized Strategyproof Mechanisms with Best of Both Worlds Fairness and Efficiency

Ankang Sun·Bo Chen
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Abstract

We study the problem of mechanism design for allocating a set of indivisible items among agents with private preferences on items. We are interested in such a mechanism that is strategyproof (where agents' best strategy is to report their true preferences) and is expected to ensure fairness and efficiency to a certain degree. We first present an impossibility result that a deterministic mechanism does not exist that is strategyproof, fair and efficient for allocating indivisible chores. We then utilize randomness to overcome the strong impossibility. For allocating indivisible chores, we propose a randomized mechanism that is strategyproof in expectation as well as ex-ante and ex-post (best of both worlds) fair and efficient. For allocating mixed items, where an item can be a good (i.e., with a positive utility) for one agent but a chore (i.e., a with negative utility) for another, we propose a randomized mechanism that is strategyproof in expectation with best of both worlds fairness and efficiency when there are two agents.

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Ankang Sun, Bo Chen. 2024-08-02. Randomized Strategyproof Mechanisms with Best of Both Worlds Fairness and Efficiency. https://arxiv.org/abs/2408.01027

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