Centrality Measure for Opinion Dynamics

Seminar

BIU Game and Economic Theory Seminar 2023-2024

Speaker

Ron Peretz

Date

21/05/2024 - 12:30 - 11:15Add To Calendar 2024-05-21 11:15:00 2024-05-21 12:30:00 Centrality Measure for Opinion Dynamics We propose a centrality measure for opinion dynamics that utilizes the game-theoretic concept of "authority distribution" due to Hu and Shapley (2003). An axiomatic foundation is given in the tradition of coalitional game theory. Several extensions are developed. A novelty of our approach is that it is based on the dynamics of opinion exchange rather than on network topology. However, for any fixed opinion dynamics, our approach associates a network centrality measure with any given network topology. Previous as well as new network centrality measures are obtained in this way. Joint with Igal Milchtaich and Yevgeny Tsodikovich BIU Economics common room אוניברסיטת בר-אילן - Department of Economics Economics.Dept@mail.biu.ac.il Asia/Jerusalem public

Place

BIU Economics common room

Affiliation

Bar Ilan University

Abstract

We propose a centrality measure for opinion dynamics that utilizes the game-theoretic concept of "authority distribution" due to Hu and Shapley (2003). An axiomatic foundation is given in the tradition of coalitional game theory. Several extensions are developed. A novelty of our approach is that it is based on the dynamics of opinion exchange rather than on network topology. However, for any fixed opinion dynamics, our approach associates a network centrality measure with any given network topology. Previous as well as new network centrality measures are obtained in this way.

Joint with Igal Milchtaich and Yevgeny Tsodikovich