Acquaintance role for decision making and exchanges in social networks Export

@article{citeulike:6080463, abstract = {We model a social network by a random graph whose nodes represent agents and links between two of them stand for a reciprocal interaction; each agent is also associated to a binary variable which represents a dichotomic opinion or attribute. We consider both the case of pair-wise (p=2) and multiple (p\>2) interactions among agents and we study the behavior of the resulting system by means of the energy-entropy scheme, typical of statistical mechanics methods. We show, analytically and numerically, that the connectivity of the social network plays a non-trivial role: while for pair-wise interactions (p=2) the connectivity weights linearly, when interactions involve contemporary a number of agents larger than two (p\>2), its weight gets more and more important. As a result, when p is large, a full consensus within the system, can be reached at relatively small critical couplings with respect to the p=2 case usually analyzed, or, otherwise stated, relatively small coupling strengths among agents are sufficient to orient most of the system.}, archivePrefix = {arXiv}, author = {Agliari, Elena and Barra, Adriano and Burioni, Raffaella and Contucci, Pierluigi}, citeulike-article-id = {6080463}, citeulike-linkout-0 = {http://arxiv.org/abs/0911.0989}, citeulike-linkout-1 = {http://arxiv.org/pdf/0911.0989}, day = {5}, eprint = {0911.0989}, keywords = {consensus, networks, opinion\_dynamics, sociophysics}, month = {Nov}, posted-at = {2009-11-08 05:55:09}, priority = {2}, title = {Acquaintance role for decision making and exchanges in social networks}, url = {http://arxiv.org/abs/0911.0989}, year = {2009} }

TY - JOUR ID - citeulike:6080463 L3 - citeulike-article-id:6080463 N2 - We model a social network by a random graph whose nodes represent agents and links between two of them stand for a reciprocal interaction; each agent is also associated to a binary variable which represents a dichotomic opinion or attribute. We consider both the case of pair-wise (p=2) and multiple (p>2) interactions among agents and we study the behavior of the resulting system by means of the energy-entropy scheme, typical of statistical mechanics methods. We show, analytically and numerically, that the connectivity of the social network plays a non-trivial role: while for pair-wise interactions (p=2) the connectivity weights linearly, when interactions involve contemporary a number of agents larger than two (p>2), its weight gets more and more important. As a result, when p is large, a full consensus within the system, can be reached at relatively small critical couplings with respect to the p=2 case usually analyzed, or, otherwise stated, relatively small coupling strengths among agents are sufficient to orient most of the system. TI - Acquaintance role for decision making and exchanges in social networks KW - consensus KW - networks KW - opinion_dynamics KW - sociophysics AU - Agliari, Elena AU - Barra, Adriano AU - Burioni, Raffaella AU - Contucci, Pierluigi PY - 2009/Nov/05/ UR - http://arxiv.org/abs/0911.0989 ER -