Graphical One-Sided Markets with Exchange Costs
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.
Keywords
Cite
@article{arxiv.2305.12604,
title = {Graphical One-Sided Markets with Exchange Costs},
author = {Takashi Ishizuka},
journal= {arXiv preprint arXiv:2305.12604},
year = {2023}
}