Tipping Diffusivity in Information Accumulation Systems: More Links, less Consensus Export

@article{citeulike:5856437, abstract = {Assume two different communities each of which maintain their respective opinions mainly because of the weak interaction between the two communities. In such a case, it is an interesting problem to find the necessary strength of inter-community interaction in order for the two communities to reach a consensus. In this paper, the Information Accumulation System (IAS) model is applied to investigate the problem. With the application of the IAS model, the opinion dynamics of the two-community problem is found to belong to a wider class of two-species problems appearing in population dynamics or in competition of two languages, for all of which the governing equations can be described in terms of coupled logistic maps. A concept of tipping diffusivity is defined as a maximum inter-community interaction that the two communities can stay in different opinions. For a problem with simple community structure and homogeneous individuals, the tipping diffusivity is calculated theoretically. As a conclusion of the paper, the convergence of the two communities to the same value is less possible the more overall interaction, intra-community and inter-community, takes place. This implies, for example, that the increase in the interaction between individuals caused by the development of the modern communication tools, such as facebook and twitter, does not necessarily improve the tendency toward global convergence between different communities. If the number of internal links increases, the number of inter-community links need to be increased even more, in order for consensus to be the only stable attractor.}, archivePrefix = {arXiv}, author = {Shin, Jae K. and Lorenz, Jan}, citeulike-article-id = {5856437}, citeulike-linkout-0 = {http://arxiv.org/abs/0909.1252}, citeulike-linkout-1 = {http://arxiv.org/pdf/0909.1252}, day = {7}, eprint = {0909.1252}, keywords = {community-structure, opinion, opinion-dynamics}, month = {Sep}, posted-at = {2009-09-30 03:11:47}, priority = {0}, title = {Tipping Diffusivity in Information Accumulation Systems: More Links, less Consensus}, url = {http://arxiv.org/abs/0909.1252}, year = {2009} }

TY - JOUR ID - citeulike:5856437 L3 - citeulike-article-id:5856437 N2 - Assume two different communities each of which maintain their respective opinions mainly because of the weak interaction between the two communities. In such a case, it is an interesting problem to find the necessary strength of inter-community interaction in order for the two communities to reach a consensus. In this paper, the Information Accumulation System (IAS) model is applied to investigate the problem. With the application of the IAS model, the opinion dynamics of the two-community problem is found to belong to a wider class of two-species problems appearing in population dynamics or in competition of two languages, for all of which the governing equations can be described in terms of coupled logistic maps. A concept of tipping diffusivity is defined as a maximum inter-community interaction that the two communities can stay in different opinions. For a problem with simple community structure and homogeneous individuals, the tipping diffusivity is calculated theoretically. As a conclusion of the paper, the convergence of the two communities to the same value is less possible the more overall interaction, intra-community and inter-community, takes place. This implies, for example, that the increase in the interaction between individuals caused by the development of the modern communication tools, such as facebook and twitter, does not necessarily improve the tendency toward global convergence between different communities. If the number of internal links increases, the number of inter-community links need to be increased even more, in order for consensus to be the only stable attractor. TI - Tipping Diffusivity in Information Accumulation Systems: More Links, less Consensus KW - community-structure KW - opinion KW - opinion-dynamics AU - Shin, Jae AU - Lorenz, Jan PY - 2009/Sep/07/ UR - http://arxiv.org/abs/0909.1252 ER -