Welfare Guarantees in Schelling Segregation
Keywords:Cooperative Game Theory
AbstractSchelling's model is an influential model that reveals how individual perceptions and incentives can lead to racial segregation. Inspired by a recent stream of work, we study welfare guarantees and complexity in this model with respect to several welfare measures. First, we show that while maximizing the social welfare is NP-hard, computing an assignment with approximately half of the maximum welfare can be done in polynomial time. We then consider Pareto optimality and introduce two new optimality notions, and establish mostly tight bounds on the worst-case welfare loss for assignments satisfying these notions. In addition, we show that for trees, it is possible to decide whether there exists an assignment that gives every agent a positive utility in polynomial time; moreover, when every node in the topology has degree at least 2, such an assignment always exists and can be found efficiently.
How to Cite
Bullinger, M., Suksompong, W., & Voudouris, A. A. (2021). Welfare Guarantees in Schelling Segregation. Proceedings of the AAAI Conference on Artificial Intelligence, 35(6), 5236-5243. https://doi.org/10.1609/aaai.v35i6.16661
AAAI Technical Track on Game Theory and Economic Paradigms