Opinion dynamics game in a social network with two influence nodes

A. A. Sedakov , M. Zhen

Research output

2 Citations (Scopus)

Abstract

We consider an opinion dynamics game in a social network with two influence nodes. Pursuing certain goals, the influence nodes affect other members of the network by the selection of their levels of influence. Considering this model as a 2-person non-cooperative dynamic game and choosing Nash equilibrium as its solution, we find the equilibrium levels of influence for both influence nodes at any game stage. We also perform the numerical simulation for both low and high levels of players’ influence on agents.

Original languageEnglish
Pages (from-to)118-125
Number of pages8
Journal ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. ПРИКЛАДНАЯ МАТЕМАТИКА. ИНФОРМАТИКА. ПРОЦЕССЫ УПРАВЛЕНИЯ
Volume15
Issue number1
DOIs
Publication statusPublished - 1 Jan 2019

Fingerprint

Opinion Dynamics
Dynamic Games
Social Networks
Vertex of a graph
Computer simulation
Non-cooperative Game
Nash Equilibrium
Influence
Person
Game
Numerical Simulation

Scopus subject areas

  • Computer Science(all)
  • Control and Optimization
  • Applied Mathematics

Cite this

Sedakov , A. A. ; Zhen , M. / Opinion dynamics game in a social network with two influence nodes. In: ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. ПРИКЛАДНАЯ МАТЕМАТИКА. ИНФОРМАТИКА. ПРОЦЕССЫ УПРАВЛЕНИЯ. 2019 ; Vol. 15, No. 1. pp. 118-125.
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Sedakov , AA & Zhen , M 2019, 'Opinion dynamics game in a social network with two influence nodes', ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. ПРИКЛАДНАЯ МАТЕМАТИКА. ИНФОРМАТИКА. ПРОЦЕССЫ УПРАВЛЕНИЯ, vol. 15, no. 1, pp. 118-125. https://doi.org/10.21638/11702/spbu10.2019.109

Opinion dynamics game in a social network with two influence nodes. / Sedakov , A. A.; Zhen , M.

In: ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. ПРИКЛАДНАЯ МАТЕМАТИКА. ИНФОРМАТИКА. ПРОЦЕССЫ УПРАВЛЕНИЯ, Vol. 15, No. 1, 01.01.2019, p. 118-125.

Research output

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AU - Zhen , M.

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KW - Equilibrium

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Sedakov AA, Zhen M. Opinion dynamics game in a social network with two influence nodes. ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. ПРИКЛАДНАЯ МАТЕМАТИКА. ИНФОРМАТИКА. ПРОЦЕССЫ УПРАВЛЕНИЯ. 2019 Jan 1;15(1):118-125. https://doi.org/10.21638/11702/spbu10.2019.109

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