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Explorations in Axelrod's model: non-equilibrium phase transitions, diffusion of innovations and collective computation

Grant number: 13/17131-0
Support type:Regular Research Grants
Duration: December 01, 2013 - November 30, 2015
Field of knowledge:Physical Sciences and Mathematics - Physics
Principal researcher:José Fernando Fontanari
Grantee:José Fernando Fontanari
Home Institution: Instituto de Física de São Carlos (IFSC). Universidade de São Paulo (USP). São Carlos , SP, Brazil


An important feature of Axelrod's model of cultural dissemination is the existence of absorbing configurations that exhibit several cultural domains, despite the model's interaction rule that increases the similarity of the agents. The agents are fixed in the sites of a square lattice with nearest neighbors interactions only and are represented by a list of F cultural traits, each of which taking on an integer value among q possibilities. Depending on the values of these parameters, the steady state may or may not exhibit cultural coexistence and these two regimes are separated by a non-equilibrium phase transition in the plane (q,F). The probability that two neighboring agents interact increases with their cultural overlap: similar agents interact more frequently whereas agents that have no cultural trait in common do not interact. Our first goal is to characterize the non-equilibrium phase transition of Axelrod's model, recalling that there exist an infinite number of absorbing configurations in the thermodynamic limit and that the dynamics always freezes into one of these configurations. Our second goal is to investigate the process of diffusion of innovations by introducing a local external field that will play the role of the innovation agent. In addition, we will study the effect of demographic expansion by allowing the agents to move in the lattice. Finally, our third goal is to explore the idea of the society as a collective brain capable of carrying out complex tasks. In this case, the set of cultural traits of an agent is interpreted as a tentative solution to some optimization problem. (AU)

Scientific publications (6)
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
FONTANARI, JOSE F.; RODRIGUES, FRANCISCO A. Influence of network topology on cooperative problem-solving systems. THEORY IN BIOSCIENCES, v. 135, n. 3, 1, SI, p. 101-110, SEP 2016. Web of Science Citations: 9.
TILLES, PAULO F. C.; FONTANARI, JOSE F. Diffusion of innovations in Axelrod's model. JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, NOV 2015. Web of Science Citations: 3.
FONTANARI, JOSE F. Exploring NK fitness landscapes using imitative learning. European Physical Journal B, v. 88, n. 10 OCT 7 2015. Web of Science Citations: 10.
PERES, LUCAS R.; FONTANARI, JOSE F. The nature of the continuous non-equilibrium phase transition of Axelrod's model. EPL, v. 111, n. 5 SEP 2015. Web of Science Citations: 2.
BIRAL, ELIAS J. P.; TILLES, PAULO F. C.; FONTANARI, JOSE F. The consensus in the two-feature two-state one-dimensional Axelrod model revisited. JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, APR 2015. Web of Science Citations: 6.
FONTANARI, JOSE F. Imitative Learning as a Connector of Collective Brains. PLoS One, v. 9, n. 10 OCT 16 2014. Web of Science Citations: 14.

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