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Gomes, O. (2015). Sentiment cycles in discrete-time homogeneous networks. Physica A. 428, 224-238
O. M. Gomes, "Sentiment cycles in discrete-time homogeneous networks", in Physica A, vol. 428, pp. 224-238, 2015
@article{gomes2015_1715935448800, author = "Gomes, O.", title = "Sentiment cycles in discrete-time homogeneous networks", journal = "Physica A", year = "2015", volume = "428", number = "", doi = "10.1016/j.physa.2015.01.084", pages = "224-238", url = "http://www.sciencedirect.com/science/article/pii/S0378437115001314" }
TY - JOUR TI - Sentiment cycles in discrete-time homogeneous networks T2 - Physica A VL - 428 AU - Gomes, O. PY - 2015 SP - 224-238 SN - 0378-4371 DO - 10.1016/j.physa.2015.01.084 UR - http://www.sciencedirect.com/science/article/pii/S0378437115001314 AB - 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. ER -