CONSENSUS FORMATION OF TWO-LEVEL OPINION DYNAMICS

doi:10.1016/S0252-9602(14)60067-9

数学物理学报(英文版) ›› 2014, Vol. 34 ›› Issue (4): 1029-1040.doi: 10.1016/S0252-9602(14)60067-9

CONSENSUS FORMATION OF TWO-LEVEL OPINION DYNAMICS

Yilun SHANG

SUTD-MIT International Design Center, Singapore University of Technology and Design, 20 Dover Drive, 138682, Singapore

收稿日期:2013-06-24 修回日期:2013-10-01 出版日期:2014-07-20 发布日期:2014-07-20
基金资助:
This research was partially supported by a SUTD-MIT IDC Grant.

CONSENSUS FORMATION OF TWO-LEVEL OPINION DYNAMICS

Yilun SHANG

SUTD-MIT International Design Center, Singapore University of Technology and Design, 20 Dover Drive, 138682, Singapore

Received:2013-06-24 Revised:2013-10-01 Online:2014-07-20 Published:2014-07-20
Supported by:
This research was partially supported by a SUTD-MIT IDC Grant.

摘要/Abstract

摘要：

Opinion dynamics have received significant attention in recent years. This pa-per proposes a bounded confidence opinion model for a group of agents with two different confidence levels. Each agent in the population is endowed with a confidence interval around her opinion with radius αd or (1 − α)d, where α∈ (0, 1/2] represents the differentiation of
confidence levels. We analytically derived the critical confidence bound d_c= 1/(4α) for the two-level opinion dynamics on Z. A single opinion cluster is formed with probability 1 above this critical value regardless of the ratio p of agents with high/low confidence. Extensive numerical simulations are performed to illustrate our theoretical results. Noticed is a clear impact of p on the collective behavior: more agents with high confidence lead to harder agreement. It is also experimentally revealed that the sharpness of the threshold d_c increases with α but does not depend on p.

关键词: social dynamics, bounded confidence, phase transition, Monte Carlo simulation

Abstract:

Key words: social dynamics, bounded confidence, phase transition, Monte Carlo simulation

中图分类号:

60K35

Yilun SHANG. CONSENSUS FORMATION OF TWO-LEVEL OPINION DYNAMICS[J]. 数学物理学报(英文版), 2014, 34(4): 1029-1040.

Yilun SHANG. CONSENSUS FORMATION OF TWO-LEVEL OPINION DYNAMICS[J]. Acta mathematica scientia,Series B, 2014, 34(4): 1029-1040.

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CONSENSUS FORMATION OF TWO-LEVEL OPINION DYNAMICS

CONSENSUS FORMATION OF TWO-LEVEL OPINION DYNAMICS

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