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8 pages, 6 figures, 1 table.-- PACS 64.60.Cn Order-disorder transformations - 87.23.Ge Dynamics of social systems.-- PDF pre-print at: http://arxiv.org/abs/arXiv:0901.3844 ; We consider two social consensus models, the AB-model and the Naming Game restricted to two conventions, which describe a population of interacting agents that can be in either of two equivalent states (A or B) or in a third mixed (AB) state. Proposed in the context of language competition and emergence, the AB state was associated with bilingualism and synonymy respectively. We show that the two models are equivalent in the mean field approximation, though the differences at the microscopic level have non-trivial consequences. To point them out, we investigate an extension of these dynamics in which confidence/trust is considered, focusing on the case of an underlying fully connected graph, and we show that the consensus-polarization phase transition taking place in the Naming Game is not observed in the AB model. We then consider the interface motion in regular lattices. Qualitatively, both models show the same behavior: a diffusive interface motion in a one-dimensional lattice, and a curvature driven dynamics with diffusing stripe-like metastable states in a two-dimensional one. However, in comparison to the Naming Game, the AB-model dynamics is shown to slow down the diffusion of such configurations. ; X. Castelló acknowledges financial support from a phD fellowship of the Govern de les Illes Balears (Spain). A. Baronchelli acknowledges support from the Spanish MCI through the Juan de la Cierva programme and from the Spanish MEC (FEDER) under project No. FIS2007-66485-C02-01. This research has been party supported by the TAGora project funded by the Future and Emerging Technologies program (IST-FET) of the European Commission under the European Union RD contract IST-034721. ; Peer reviewed

AbstractThis article uses computer simulations as a means of assessing two different models for the competition between two languages from the interdisciplinary perspective of complex systems. These models allow for the analysis of the role of bilingual speakers and they consider two of the basic factors determining the use of each language: their relative prestige and the language loyalty of their speakers. Here we assess the effect of these parameters in different social networks, with the aim of contributing to the understanding of the role of bilingualism and social networks in processes of language contact. We first present a qualitative analysis based on a simulation tool that we have designed, in order to visualize the dynamics of the models. Secondly, we consider a qualitative analysis of the role of complex networks, identifying mechanisms for the rapid extinction of a language and for situations of language segregation. Finally, we present a quantitative analysis which shows, counter-intuitively, a transition from a final scenario of language maintenance to one of language shift as language loyalty increases. Other findings are: (i) that the scenario of language coexistence is reduced in the presence of bilingual agents; and (ii) that networks which allow for local effects reduce further the situations for which language maintenance is possible.

This article uses computer simulations as a means of assessing two different models for the competition between two languages from the interdisciplinary perspective of complex systems. These models allow for the analysis of the role of bilingual speakers and they consider two of the basic factors determining the use of each language: their relative prestige and the language loyalty of their speakers. Here we assess the effect of these parameters in different social networks, with the aim of contributing to the understanding of the role of bilingualism and social networks in processes of language contact. We first present a qualitative analysis based on a simulation tool that we have designed, in order to visualize the dynamics of the models. Secondly, we consider a qualitative analysis of the role of complex networks, identifying mechanisms for the rapid extinction of a language and for situations of language segregation. Finally, we present a quantitative analysis which shows, counter-intuitively, a transition from a final scenario of language maintenance to one of language shift as language loyalty increases. Other findings are: (i) that the scenario of language coexistence is reduced in the presence of bilingual agents; and (ii) that networks which allow for local effects reduce further the situations for which language maintenance is possible. ; In addition, for generous financial support, Xavier Castelló and Maxi San Miguel thank the Spanish Ministry for Science and Innovation and the European Regional Development Fund (grant FIS2007-60327, FISICOS), and Lucía Loureiro-Porto thanks the Autonomous Government of Galicia (INCITE grant 08PXIB204016PR) and the Spanish Ministry for Science and Innovation and the European Regional Development Fund (grants HUM2007–60706 and FFI2011-26693-C02-02). ; Peer reviewed

The original publication is available at Springer website: http://www.springer.com/computer/mathematics/book/978-4-431-73150-4. ; In the general context of dynamics of social consensus, we study an agent based model for the competition between two socially equivalent languages, addressing the role of bilingualism and social structure. In a regular network, we study the formation of linguistic domains and their interaction across the boundaries. We analyse also a small world social structure, in order to capture the effect of long range social interactions. In both cases, a final scenario of dominance of one language and extinction of the other is obtained, but with smaller times for extinction in the latter case. In addition, we compare our results to our previous work on the agent based version of Abrams-Strogatz model. ; We acknowledge financial support from the MEC (Spain) through project CONOCE2 (FIS2004-00953). X. C. also acknowledges financial support from a Ph.D. fellowship of the Govern de les Illes Balears (Spain). L. L-P. also acknowledges financial support from the Autonomous Government of Galicia (PGIDIT05PXIC20401PN), and the MEC (Spain) and the ERDF (HUM2004-00940). ; http://dx.doi.org/10.1007/978-4-431-73167-2