Skip to Main content Skip to Navigation
Conference papers

Preferential Attachment as a Unique Equilibrium

Abstract : This paper demonstrates that the Preferential Attachment rule naturally emerges in the context of evolutionary network formation, as the unique Nash equilibrium of a simple social network game. In this game, each node aims at maximizing its degree in the future, representing its social capital in the "society" formed by the nodes and their connections. This result provides additional formal support to the commonly used Preferential Attachment model, initially designed to capture the "rich get richer" aphorism. In the process of establishing our result, we expose new connections between Preferential Attachment, random walks, and Young's Lattice.
Complete list of metadata

Cited literature [26 references]  Display  Hide  Download

https://hal.inria.fr/hal-01964759
Contributor : Pierre Fraigniaud Connect in order to contact the contributor
Submitted on : Thursday, January 3, 2019 - 3:01:50 PM
Last modification on : Tuesday, September 6, 2022 - 1:27:13 PM
Long-term archiving on: : Thursday, April 4, 2019 - 12:47:31 PM

File

WWW-submission_final.pdf
Files produced by the author(s)

Identifiers

Citation

Chen Avin, Avi Cohen, Pierre Fraigniaud, Zvi Lotker, David Peleg. Preferential Attachment as a Unique Equilibrium. World Wide Web Conference (WWW), 2018, Lyon, France. pp.559-568, ⟨10.1145/3178876.3186122⟩. ⟨hal-01964759⟩

Share

Metrics

Record views

56

Files downloads

223