Non-ergodicity for the noisy majority vote process on trees

2025/01/27 by Jian Ding, Ding, Jian, Fenglin Huang +1
Economics, Econometrics and Finance · Social Sciences · Physics and Astronomy · #Game Theory and Voting Systems #Electoral Systems and Political Participation #Opinion Dynamics and Social Influence

paper · pdf · doi:10.48550/arxiv.2501.16202

Abstract

We consider the noisy majority vote process on infinite regular trees with degree d≥ 3, and we prove the non-ergodicity, i.e., there exist multiple equilibrium measures. Our work extends a result of Bramson and Gray (2021) for d≥ 5.

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