Authority Measure for Opinion Dynamics

20 Pages Posted: 20 Sep 2024

See all articles by Igal Milchtaich

Igal Milchtaich

Bar-Ilan University - Department of Economics

Ron Peretz

Bar Ilan University

Yevgeny Tsodikovich

Bar Ilan University - Department of Economics

Abstract

We propose a formal framework for measuring the authority of individuals in a setting of opinion dynamics. Our framework is based on an axiomatic approach in the tradition of coalitional game theory. We show that the unique solution concept satisfying our axioms is a generalization of the ``authority distribution'' notion of  Hu and Shapley (2003). 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.

Keywords: opinion dynamics, networks, authority measure, centrality measure

Suggested Citation

Milchtaich, Igal and Peretz, Ron and Tsodikovich, Yevgeny, Authority Measure for Opinion Dynamics. Available at SSRN: https://ssrn.com/abstract=4962192 or http://dx.doi.org/10.2139/ssrn.4962192

Igal Milchtaich

Bar-Ilan University - Department of Economics ( email )

Ramat-Gan, 52900
Israel

Ron Peretz

Bar Ilan University ( email )

Ramat Gan
5290002
Israel

Yevgeny Tsodikovich (Contact Author)

Bar Ilan University - Department of Economics ( email )

Israel

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