scholarly journals Digital Morphogenesis via Schelling Segregation

Author(s):  
George Barmpalias ◽  
Richard Elwes ◽  
Andy Lewis-Pye
2012 ◽  
Vol 30 (1) ◽  
pp. 65-75 ◽  
Author(s):  
W. Clifton Baldwin ◽  
John T. Boardman ◽  
Brian J. Sauser

2009 ◽  
Vol 70 (2) ◽  
pp. 293-304 ◽  
Author(s):  
L. Gauvin ◽  
J. Vannimenus ◽  
J.-P. Nadal

2021 ◽  
Vol 71 ◽  
pp. 143-174
Author(s):  
Martin Bullinger ◽  
Warut Suksompong ◽  
Alexandros A. Voudouris

Schelling’s model is an influential model that reveals how individual perceptions and incentives can lead to residential 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 of agents to the nodes of any topology graph with approximately half of the maximum welfare can be done in polynomial time. We then consider Pareto optimality, introduce two new optimality notions based on it, and establish mostly tight bounds on the worst-case welfare loss for assignments satisfying these notions as well as the complexity of computing such assignments. In addition, we show that for tree topologies, 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.


Author(s):  
Christina Brandt ◽  
Nicole Immorlica ◽  
Gautam Kamath ◽  
Robert Kleinberg

2016 ◽  
Vol 164 (6) ◽  
pp. 1460-1487 ◽  
Author(s):  
George Barmpalias ◽  
Richard Elwes ◽  
Andrew Lewis-Pye

2016 ◽  
Vol 25 (3) ◽  
pp. 169-194 ◽  
Author(s):  
Philippe Collard ◽  
◽  
Teodor Ghetiu ◽  

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