# Swap Stability in Schelling Games on Graphs

@inproceedings{Agarwal2020SwapSI, title={Swap Stability in Schelling Games on Graphs}, author={Aishwarya Agarwal and Edith Elkind and Jiarui Gan and Alexandros A. Voudouris}, booktitle={AAAI}, year={2020} }

We study a recently introduced class of strategic games that is motivated by and generalizes Schelling's well-known residential segregation model. These games are played on undirected graphs, with the set of agents partitioned into multiple types; each agent either occupies a node of the graph and never moves away or aims to maximize the fraction of her neighbors who are of her own type. We consider a variant of this model that we call swap Schelling games, where the number of agents is equal… Expand

#### 14 Citations

Schelling Games on Graphs

- Computer Science
- IJCAI
- 2019

This work investigates the existence of equilibria in strategic games that are inspired by Schelling's model of residential segregation, study the complexity of finding an equilibrium outcome or an outcome with high social welfare, and also provides upper and lower bounds on the price of anarchy and stability. Expand

Modified Schelling Games

- Computer Science
- SAGT
- 2020

A thorough analysis of the (in)efficiency of equilibria that arise in such modified Schelling games, by bounding the price of anarchy and price of stability for both general graphs and interesting special cases is provided. Expand

Equilibria in Schelling Games: Computational Complexity and Robustness

- Computer Science
- ArXiv
- 2021

It is proved that deciding the existence of a swap-equilibrium and a jump-Equilibrium in this simplest model of Schelling games is NP-hard, thereby answering questions left open by Agarwal et al. Expand

Modified Schelling games

- Computer Science
- Theor. Comput. Sci.
- 2021

A thorough analysis of the (in)efficiency of equilibria that arise in such modified Schelling games, by bounding the price of anarchy and price of stability for both general graphs and interesting special cases is provided. Expand

Modied Schelling Games

- 2020

We introduce the class of modied Schelling games in which there are dierent types of agents who occupy the nodes of a location graph; agents of the same type are friends, and agents of dierent… Expand

Schelling Models with Localized Social Influence: A Game-Theoretic Framework

- Computer Science
- AAMAS
- 2020

This work proposes a game-theoretic approach to generalizing the classical Schelling model that allows multiple individuals to occupy the same location and shows that even for various special cases of the problem, computing or counting PSNE is provably hard. Expand

Topological Influence and Locality in Swap Schelling Games

- Computer Science
- MFCS
- 2020

Improved almost tight bounds on the Price of Anarchy for arbitrary underlying graphs and close bounds for regular graphs, paths and cycles are presented and it is shown that locality has a severe impact on the game dynamics. Expand

Welfare Guarantees in Schelling Segregation

- Economics, Computer Science
- AAAI
- 2021

This work shows 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, and considers Pareto optimality and introduces two new optimality notions and establishes mostly tight bounds on the worst-case welfare loss for assignments satisfying these notions. Expand

The Flip Schelling Process on Random Geometric and Erdös-Rényi Graphs

- Mathematics, Computer Science
- ArXiv
- 2021

The probability that an edge {u, v} is monochrome, i.e., that both vertices u and v have the same type in the FSP is investigated, and a general framework for analyzing the influence of the underlying graph topology on residential segregation is provided. Expand

Graphical One-Sided Markets

- Computer Science
- IJCAI
- 2019

We study the problem of allocating indivisible objects to a set of
rational agents where each agent's final utility depends on the
intrinsic valuation of the allocated item as well as the allocation… Expand

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