Please use this identifier to cite or link to this item:
http://hdl.handle.net/10071/10903
Author(s): | Gomes, O. |
Date: | 2015 |
Title: | Sentiment cycles in discrete-time homogeneous networks |
Volume: | 428 |
Pages: | 224 - 238 |
ISSN: | 0378-4371 |
DOI (Digital Object Identifier): | 10.1016/j.physa.2015.01.084 |
Keywords: | Homogeneous networks Sentiment-switching Stability Endogenous fluctuations Waves of optimism and pessimism |
Abstract: | Consider a network connecting individual agents that are endowed with distinct sentiments or ‘views of the world’. Specifically, assume that each node in the network contains an agent that, at a given period t, can be found in one of five states: sentiment neutrality, exuberant optimism, non-exuberant optimism, exuberant pessimism and non-exuberant pessimism. Local interaction rules, similar to those one encounters in rumor propagation models, make agents change their sentiment as they contact with others. Under a continuous-time framework, the proposed setting delivers a stable fixed-point equilibrium, meaning that the shares of agents in each sentiment category will converge to constant steady-state levels. The inspection of the same structure of analysis in discrete-time indicates that the stability outcome continues to hold when the connectivity degree is equal to 1. However, this result might change as one considers higher-order connectivity. In this last case, persistent endogenous waves of optimism and pessimism emerge under a reasonable parameterization of the model. |
Peerreviewed: | yes |
Access type: | Embargoed Access |
Appears in Collections: | BRU-RI - Artigos em revistas científicas internacionais com arbitragem científica |
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1_s2_0_S0378437115001314_main.pdf Restricted Access | Versão Editora | 977,98 kB | Adobe PDF | View/Open Request a copy |
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