# The Parameterized Complexity of Welfare Guarantees in Schelling Segregation

@article{Deligkas2022ThePC, title={The Parameterized Complexity of Welfare Guarantees in Schelling Segregation}, author={Argyrios Deligkas and E. Eiben and Tiger-Lily Goldsmith}, journal={ArXiv}, year={2022}, volume={abs/2201.06904} }

Schelling’s model considers k types of agents each of whom needs to select a vertex on an undirected graph, where every agent prefers to neighbor agents of the same type. We are motivated by a recent line of work that studies solutions that are optimal with respect to notions related to the welfare of the agents. We explore the parameterized complexity of computing such solutions. We focus on the well-studied notions of social welfare (WO) and Pareto optimality (PO), alongside the recently…

## 2 Citations

### Equilibria in Schelling Games: Computational Hardness and Robustness

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In the simplest game-theoretic formulation of Schelling’s model of segregation on graphs, agents of two diﬀerent types each select their own vertex in a given graph so as to maximize the fraction of…

### Not all Strangers are the Same: The Impact of Tolerance in Schelling Games

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- 2022

This work considers natural generalizations that allow for the possibility of agents being tolerant towards other agents, even if they are not of the same type, and provides a collection of results about the existence of equilibria, and their quality in terms of social welfare.

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