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arXiv · 2412.17134

Matching Markets with Chores

Jugal Garg·Thorben Tröbst·Vijay V. Vazirani
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Abstract

The fair division of chores, as well as mixed manna (goods and chores), has received substantial recent attention in the fair division literature; however, ours is the first paper to extend this research to matching markets. Indeed, our contention is that matching markets are a natural setting for this purpose, since the manna that fit into the limited number of hours available in a day can be viewed as one unit of allocation. We extend several well-known results that hold for goods to the settings of chores and mixed manna. In addition, we show that the natural notion of an earnings-based equilibrium, which is more natural in the case of all chores, is equivalent to the pricing-based equilibrium given by Hylland and Zeckhauser for the case of goods.

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Jugal Garg, Thorben Tröbst, Vijay V. Vazirani. 2024-12-22. Matching Markets with Chores. https://arxiv.org/abs/2412.17134

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