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Enforcing social behavior in an Ising model with complex neighborhoods

Author

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  • Cajueiro, D.O.

Abstract

We consider the problem of enforcing desired behavior in a population of individuals modeled by an Ising model. Although there is a large literature dealing with social interaction models, the problem of controlling behavior in a system modeled by the Ising model seems to be an unexplored field. First, we provide and analytically characterize an optimal policy that may be used to achieve this objective. Second, we show that complex neighborhoods highly influence the decision making process. Third, we use Lagrange multipliers associated to some constraints of a related problem to identify the role of individuals in the system.

Suggested Citation

  • Cajueiro, D.O., 2011. "Enforcing social behavior in an Ising model with complex neighborhoods," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(9), pages 1695-1703.
    • Handle: RePEc:eee:phsmap:v:390:y:2011:i:9:p:1695-1703
    DOI: 10.1016/j.physa.2011.01.006
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    Cited by:

    1. Francisco Prieto-Castrillo & Amin Shokri Gazafroudi & Javier Prieto & Juan Manuel Corchado, 2018. "An Ising Spin-Based Model to Explore Efficient Flexibility in Distributed Power Systems," Complexity, Hindawi, vol. 2018, pages 1-16, May.
    2. Stefan, F.M. & Atman, A.P.F., 2015. "Is there any connection between the network morphology and the fluctuations of the stock market index?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 419(C), pages 630-641.
    3. Fan Zou & Yupeng Li & Jiahuan Huang, 2022. "Group interaction and evolution of customer reviews based on opinion dynamics towards product redesign," Electronic Commerce Research, Springer, vol. 22(4), pages 1131-1151, December.

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