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Home / Proceedings / Proceedings of the AAAI Conference on Artificial Intelligence, 35 / No. 6: AAAI-21 Technical Tracks 6

Selfish Creation of Social Networks

February 1, 2023

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Authors

Davide Bilò

University of Sassari


Tobias Friedrich

Hasso Plattner Institute, University of Potsdam


Pascal Lenzner

Hasso Plattner Institute, University of Potsdam


Stefanie Lowski

Humboldt-University Berlin


Anna Melnichenko

Hasso Plattner Institute, University of Potsdam


DOI:

10.1609/aaai.v35i6.16655


Abstract:

Understanding real-world networks is a core research endeavor within the last two decades. Network Creation Games are a promising approach for this from a game-theoretic perspective. In these games, selfish agents corresponding to nodes in a network strategically decide which links to form to optimize their centrality. Many versions have been introduced and analyzed, but none of them fits to modeling the evolution of social networks. In real-world social networks connections are often established by recommendations from common acquaintances or by a chain of such recommendations. Thus establishing and maintaining a contact with a friend of a friend is easier than connecting to complete strangers. This explains the high clustering, i.e., the abundance of triangles, in real-world social networks. We propose and analyze a network creation model inspired by real-world social networks. In our model edges are formed via bilateral consent of both endpoints and the cost for establishing and maintaining an edge is proportional to the distance of the endpoints before establishing the connection. We provide results for generic cost functions which essentially only must be convex functions in the distance of the endpoints without the respective edge. For this broad class of cost functions we provide many structural properties of equilibrium networks and prove (almost) tight bounds on the diameter, the Price of Anarchy and the Price of Stability. Moreover, as a proof-of-concept we show via experiments that the created equilibrium networks of our model indeed closely mimic real-world social networks. We observe degree distributions that seem to follow a power-law, high clustering, and low diameters. This can be seen as a promising first step towards game-theoretic network creation models that predict networks featuring all core real-world properties.

Topics: AAAI

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HOW TO CITE:

Davide Bilò||Tobias Friedrich||Pascal Lenzner||Stefanie Lowski||Anna Melnichenko Selfish Creation of Social Networks Proceedings of the AAAI Conference on Artificial Intelligence (2021) 5185-5193.

Davide Bilò||Tobias Friedrich||Pascal Lenzner||Stefanie Lowski||Anna Melnichenko Selfish Creation of Social Networks AAAI 2021, 5185-5193.

Davide Bilò||Tobias Friedrich||Pascal Lenzner||Stefanie Lowski||Anna Melnichenko (2021). Selfish Creation of Social Networks. Proceedings of the AAAI Conference on Artificial Intelligence, 5185-5193.

Davide Bilò||Tobias Friedrich||Pascal Lenzner||Stefanie Lowski||Anna Melnichenko. Selfish Creation of Social Networks. Proceedings of the AAAI Conference on Artificial Intelligence 2021 p.5185-5193.

Davide Bilò||Tobias Friedrich||Pascal Lenzner||Stefanie Lowski||Anna Melnichenko. 2021. Selfish Creation of Social Networks. "Proceedings of the AAAI Conference on Artificial Intelligence". 5185-5193.

Davide Bilò||Tobias Friedrich||Pascal Lenzner||Stefanie Lowski||Anna Melnichenko. (2021) "Selfish Creation of Social Networks", Proceedings of the AAAI Conference on Artificial Intelligence, p.5185-5193

Davide Bilò||Tobias Friedrich||Pascal Lenzner||Stefanie Lowski||Anna Melnichenko, "Selfish Creation of Social Networks", AAAI, p.5185-5193, 2021.

Davide Bilò||Tobias Friedrich||Pascal Lenzner||Stefanie Lowski||Anna Melnichenko. "Selfish Creation of Social Networks". Proceedings of the AAAI Conference on Artificial Intelligence, 2021, p.5185-5193.

Davide Bilò||Tobias Friedrich||Pascal Lenzner||Stefanie Lowski||Anna Melnichenko. "Selfish Creation of Social Networks". Proceedings of the AAAI Conference on Artificial Intelligence, (2021): 5185-5193.

Davide Bilò||Tobias Friedrich||Pascal Lenzner||Stefanie Lowski||Anna Melnichenko. Selfish Creation of Social Networks. AAAI[Internet]. 2021[cited 2023]; 5185-5193.


ISSN: 2374-3468


Published by AAAI Press, Palo Alto, California USA
Copyright 2022, Association for the Advancement of
Artificial Intelligence 1900 Embarcadero Road, Suite
101, Palo Alto, California 94303 All Rights Reserved

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