Modeling Two-Language Competition Dynamics

Patriarca, Marco; Castelló, Xavier; Uriarte, José Ramón; Eguı́luz, Vı́ctor M.; Miguel, M. San

doi:10.1142/s0219525912500488

Cited by 54 publications

(45 citation statements)

References 37 publications

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“…This is especially the case for relational interactions such as friendship, trust, communication channel (phone or skype), and method of salutation (kiss or handshake). It is also the case in language competition dynamics [2]: So far language has been modeled in this context [3,4] as an individual property, but use of a language, as opposed to knowledge of a language, is more a link than a node property in a social network of interactions. Noteworthily, data on link states associated with trust, friendship, or enmity, obtained from online games and online communities, are now available and have been analyzed recently [5,6].…”

Section: Introductionmentioning

confidence: 99%

Dynamics of link states in complex networks: The case of a majority rule

et al. 2012

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Motivated by the idea that some characteristics are specific to the relations between individuals and not to the individuals themselves, we study a prototype model for the dynamics of the states of the links in a fixed network of interacting units. Each link in the network can be in one of two equivalent states. A majority link-dynamics rule is implemented, so that in each dynamical step the state of a randomly chosen link is updated to the state of the majority of neighboring links. Nodes can be characterized by a link heterogeneity index, giving a measure of the likelihood of a node to have a link in one of the two states. We consider this link-dynamics model in fully connected networks, square lattices, and Erdös-Renyi random networks. In each case we find and characterize a number of nontrivial asymptotic configurations, as well as some of the mechanisms leading to them and the time evolution of the link heterogeneity index distribution. For a fully connected network and random networks there is a broad distribution of possible asymptotic configurations. Most asymptotic configurations that result from link dynamics have no counterpart under traditional node dynamics in the same topologies.

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Section: Introductionmentioning

confidence: 99%

Dynamics of link states in complex networks: The case of a majority rule

et al. 2012

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“…This second phenomena is only possible to be simulated if the pair speaker-listener behavior is not driven by means of purely random walks and distributions. In this case, it occurs that this mediates the communication by topological features [18] (see also [13]). The analysis of agent lexicons -in preliminary experiments-reveals that agents will develop stable knowledge within their cluster, but will also develop a second language, an interlingua which is weaker but shared among different clusters [18].…”

Section: Discussionmentioning

confidence: 99%

Simulating Language Dynamics by Means of Concept Reasoning

Aranda-Corral

Borrego-Díaz

Galán-Páez

2014

Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering

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Abstract.A problem in the phenomenological reconstruction of Complex Systems (CS) is the extraction of the knowledge that elements playing in CS use during its evolution. This problem is important because such a knowledge would allow the researcher to understand the global behavior of the system [1,2]. In this paper an approach to partially solve this problem by means of Formal Concept Analysis (FCA) is described in a particular case, namely Language Dynamics. The main idea lies in the fact that global knowledge in CS is naturally built by local interactions among agents, and FCA could be useful to represent their own knowledge. In this way it is possible to represent the effect of interactions on individual knowledge as well as the dynamics of global knowledge. Experiments in order to show this approach are given using WordNet.

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“…Spatial extensions of this model can be found in Kandler and Steele (2008), Kandler et al (2010). A good review of the different approaches is given in Patriarca et al (2012).…”

Section: Language Competition Modelsmentioning

confidence: 99%

Optimal language policy for the preservation of a minority language

Templin

Seidl

Wickström

et al. 2016

Mathematical Social Sciences

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h i g h l i g h t s• A dynamic control model for the competition between two languages is developed.• Family formation and intergenerational language transmission are modeled explicitly.• Investments into status planning can be used to support the minority language.• If bilingualism is valued high enough, survival of both languages can be optimal.• Optimal steady states depend on initial distribution of speakers. a b s t r a c tWe develop a dynamic language competition model with dynamic state intervention. Parents choose the language(s) to raise their children based on the communicational value of each language as well as on their emotional attachment to the languages at hand. Languages are thus conceptualized as tools for communication as well as carriers of cultural identity. The model includes a high and a low status language, and children can be brought up as monolinguals or bilinguals. Through investment into language policies, the status of the minority language can be increased. The aim of the intervention is to preserve the minority language in a bilingual subpopulation at low costs. We investigate the dynamic structure of the optimally controlled system as well as the optimal policy, identify stable equilibria and provide numerical case studies.

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Modeling Two-Language Competition Dynamics

Cited by 54 publications

References 37 publications

Dynamics of link states in complex networks: The case of a majority rule

Dynamics of link states in complex networks: The case of a majority rule

Simulating Language Dynamics by Means of Concept Reasoning

Optimal language policy for the preservation of a minority language

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