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arXiv · 2305.12604

Graphical One-Sided Markets with Exchange Costs

Takashi Ishizuka
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Abstract

This paper proposes a new one-sided matching market model in which every agent has a cost function that is allowed to take a negative value. Our model aims to capture the situation where some agents can profit by exchanging their obtained goods with other agents. We formulate such a model based on a graphical one-sided matching market, introduced by Massand and Simon [Massand and Simon, IJCAI 2019]. We investigate the existence of stable outcomes for such a market. We prove that there is an instance that has no core-stable allocation. On the other hand, we guarantee the existence of two-stable allocations even where exchange costs exist. However, it is PLS-hard to find a two-stable allocation for a market with exchange costs even if the maximum degree of the graph is five.

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Takashi Ishizuka. 2023-05-21. Graphical One-Sided Markets with Exchange Costs. https://arxiv.org/abs/2305.12604

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