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RESEARCH PRODUCT

Modeling Local Social Migrations: A Cellular Automata Approach

Juan M. Benito-ostolazaDaniel Palacios-marquésPenélope HernándezJosé Vila

subject

Cellular automataClass (set theory)education.field_of_studyTheoretical computer scienceProperty (philosophy)PopulationSocial environmentType (model theory)Nonlinear Sciences::Cellular Automata and Lattice GasesEmpirical distribution functionCellular automatonArtificial IntelligenceORGANIZACION DE EMPRESASNatural approacheducationAlgorithmSoftwareSocial migrationsInformation SystemsMathematics

description

In local social migrations, agents move from their initial location looking for a better local social environment. Social migrations processes do not change the number of social agents of a given type (i.e., the empirical distribution of the population) but their spatial location. Although cellular automata seems to appear as a natural approach to model of social migrations, the evolution of the configuration through a cellular automata might induce a new configuration wherein the number of agents of each type might be actually modified. This article provides a characterization of these cellular automata rules such that for any initial empirical distribution, the evolution of the configuration through a cellular automata of such class induces a new configuration with the same empirical distribution as the initial one, as required to model local social migrations. A class of sequences is defined in order to establish a sufficient condition to maintain this invariance property.

10.1080/01969722.2015.1012898https://hdl.handle.net/10251/72277