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Reaching a Consensus via Krause Mean Processes in Multi-agent Systems: Quadratic Stochastic Operators

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Progress on Difference Equations and Discrete Dynamical Systems (ICDEA 2019)

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Abstract

A multi-agent system is a system composed of multiple interacting so-called intelligent agents who possibly have different information and/or diverging interests. The agents could be robots, humans or human teams. Opinions are at the basis of human behavior, and can be seen as the internal state of individuals that drives a certain action. Opinion dynamics is a process of individual opinions, in which a group of interacting agents continuously fuse their opinions on the same issue based on established rules to reach a consensus in the final stage. To some extent, the Krause mean process is a general model of opinion sharing dynamics in which the opinions are represented by vectors. In this paper, we present an opinion sharing dynamics by using positive quadratic stochastic operators and establish the consensus in the system.

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Acknowledgements

This work was supported by American University of the Middle East, Kuwait. The authors are greatly indebted to the reviewer for several useful suggestions and comments which improved the presentation of this paper.

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Authors and Affiliations

  1. College of Engineering and Technology, American University of the Middle East, Kuwait, Kuwait

    Tuncay Candan, MANSUR SABUROV & Ünal Ufuktepe

Authors
  1. Tuncay Candan
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  2. MANSUR SABUROV
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  3. Ünal Ufuktepe
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Correspondence to MANSUR SABUROV .

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Editors and Affiliations

  1. Department of Mathematics, University College London, London, UK

    Steve Baigent

  2. Department of Mathematics and Statistics, Missouri University of Science and Technology, Rolla, MO, USA

    Martin Bohner

  3. Department of Mathematics, Trinity University, San Antonio, TX, USA

    Saber Elaydi

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Candan, T., SABUROV, M., Ufuktepe, Ü. (2020). Reaching a Consensus via Krause Mean Processes in Multi-agent Systems: Quadratic Stochastic Operators. In: Baigent, S., Bohner, M., Elaydi, S. (eds) Progress on Difference Equations and Discrete Dynamical Systems. ICDEA 2019. Springer Proceedings in Mathematics & Statistics, vol 341. Springer, Cham. https://doi.org/10.1007/978-3-030-60107-2_22

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