We study deviations by a group of agents in the three main types of matching markets: the house allocation, the marriage, and the roommates models. For a given instance, we call a matching k -stable if no other matching exists that is more beneficial to at least k out of the n agents. The concept generalizes the recently studied majority stability [57]. We prove that whereas the verification of k -stability for a given matching is polynomial-time solvable in all three models, the complexity of deciding whether a k -stable matching exists depends on \(\frac{k}{n} \) and is characteristic to each model.

Haris Aziz

Gergely Csáji

Agnes Cseh

ACM Transactions on Economics and Computation

The ACM Transactions on Economics and Computation welcomes submissions of the highest quality that concern the intersection of computer science and economics. Of interest to the journal is any topic relevant to both economists and computer scientists, including but not limited to the following:    Agents in networks  Algorithmic game theory  Computation of equilibria  Computational social choice  Cost of strategic behavior and cost of decentralization ("price of anarchy")  Design and analysis of electronic markets  Economics of computational advertising  Electronic commerce  Learning in games and markets  Mechanism design  Paid search auctions  Privacy  Recommendation / reputation / trust systems  Systems resilient against malicious agents.

The ACM Transactions on Economics and Computation welcomes submissions of the highest quality that explore the intersection of computer science and economics. The journal is interested in topics relevant to both economists and computer scientists, including but not limited to: agents in networks, algorithmic game theory, computation of equilibria, computational social choice, the cost of strategic behavior and decentralization ("price of anarchy"), design and analysis of electronic markets, economics of computational advertising, electronic commerce, learning in games and markets, mechanism design, paid search auctions, privacy, recommendation/reputation/trust systems, and systems resilient against malicious agents.

《ACM Transactions on Economics and Computation》欢迎提交高质量的论文，探讨计算机科学与经济学的交叉领域。期刊关注的主题包括但不限于：网络中的代理、算法博弈论、均衡计算、计算社会选择、战略行为和去中心化的成本（"无序价格"）、电子市场的设计与分析、计算广告的经济学、电子商务、游戏与市场中的学习、机制设计、付费搜索拍卖、隐私、推荐/声誉/信任系统，以及抵御恶意代理的系统。

Computational complexity of k -stable matchings

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Journal Info

Category	Quartile
COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS	4