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A review on the Sznajd model — 20 years after

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  • Sznajd-Weron, Katarzyna
  • Sznajd, Józef
  • Weron, Tomasz

Abstract

In honor of professor Dietrich Stauffer we review the literature on the Sznajd model, which probably owes him not only the name and popularity, but perhaps even the fact that it was published in a scientific journal at all. We start the review with the personal memories on the origin of the model and on Stauffer’s role throughout the story. Then, we describe the original model and propose the new generalization that captures all versions of the model described in the original paper from 2000. In consecutive sections we review the existing literature that was published over last 20 years.

Suggested Citation

  • Sznajd-Weron, Katarzyna & Sznajd, Józef & Weron, Tomasz, 2021. "A review on the Sznajd model — 20 years after," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 565(C).
  • Handle: RePEc:eee:phsmap:v:565:y:2021:i:c:s0378437120308359
    DOI: 10.1016/j.physa.2020.125537
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    References listed on IDEAS

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    2. Ekrem Aydiner, 2004. "The Time Evaluation Of Resistance Probability Of A Closed Community Against Occupation In A Sznajd-Like Model With Synchronous Updating: A Numerical Study," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 15(09), pages 1291-1299.
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    22. Frank Emmert-Streib, 2005. "Stochastic Sznajd Model In Open Community," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 16(11), pages 1693-1699.
    23. Sznajd-Weron, Katarzyna & Weron, Rafal & Wloszczowska, Maja, 2008. "Outflow Dynamics in Modeling Oligopoly Markets: The Case of the Mobile Telecommunications Market in Poland," MPRA Paper 10422, University Library of Munich, Germany.
    24. Johannes J. Schneider, 2004. "The Influence Of Contrarians And Opportunists On The Stability Of A Democracy In The Sznajd Model," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 15(05), pages 659-674.
    25. Mingfeng He & Bei Li & Haixuan Xu & Lidong Luo, 2005. "A Three-Opinion Sznajd Model With Limited Persuasion And Its Applications," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 16(10), pages 1499-1506.
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    27. Roni Muslim & Rinto Anugraha & Sholihun Sholihun & Muhammad Farchani Rosyid, 2020. "Phase transition of the Sznajd model with anticonformity for two different agent configurations," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 31(04), pages 1-16, February.
    28. Iksoo Chang, 2001. "Sznajd Sociophysics Model On A Triangular Lattice: Ferro And Antiferromagnetic Opinions," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 12(10), pages 1509-1512.
    29. Sznajd-Weron, Katarzyna & Sznajd, Józef, 2005. "Who is left, who is right?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 351(2), pages 593-604.
    30. Nina Klietsch, 2005. "The Influence Of An Individual Opinion In The Sznajd Model," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 16(04), pages 577-584.
    31. F. W. S. Lima, 2016. "Transition under noise in the Sznajd model on square lattice," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 27(03), pages 1-8, March.
    32. Sousa, A.O., 2005. "Consensus formation on a triad scale-free network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 348(C), pages 701-710.
    33. F. Slanina & H. Lavicka, 2003. "Analytical results for the Sznajd model of opinion formation," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 35(2), pages 279-288, September.
    34. A. A. Moreira & J. S. Andrade & D. Stauffer, 2001. "Sznajd Social Model On Square Lattice With Correlated Percolation," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 12(01), pages 39-42.
    35. Lorenzo Sabatelli & Peter Richmond, 2003. "Phase Transitions, Memory And Frustration In A Sznajd-Like Model With Synchronous Updating," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 14(09), pages 1223-1229.
    36. Sznajd-Weron, K. & Weron, R., 2003. "How effective is advertising in duopoly markets?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 324(1), pages 437-444.
    37. Tomasz M. Gradowski & Robert A. Kosiński, 2006. "The Effect Of An Electoral Campaign For Election Results In An Open Community," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 17(09), pages 1327-1338.
    38. Calvelli, Matheus & Crokidakis, Nuno & Penna, Thadeu J.P., 2019. "Phase transitions and universality in the Sznajd model with anticonformity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 513(C), pages 518-523.
    39. Fabio Stucchi Vannucchi & Carmen P. C. Prado, 2009. "Sznajd Model And Proportional Elections: The Role Of The Topology Of The Network," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 20(06), pages 979-990.
    40. Qi Sun & Lidong Luo & Bei Li & Zewei Mao & Mingfeng He, 2005. "Opinion Evolution On The Sznajd Model With Family Influence And Age Threshold," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 16(11), pages 1745-1752.
    41. Dietrich Stauffer, 2002. "Better Being Third Than Second In A Search For A Majority Opinion," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 5(01), pages 97-100.
    42. A. O. Sousa & T. Yu-Song & M. Ausloos, 2008. "Effects of agents' mobility on opinion spreading in Sznajd model," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 66(1), pages 115-124, November.
    43. A. T. Bernardes & U. M. S. Costa & A. D. Araujo & D. Stauffer, 2001. "Damage Spreading, Coarsening Dynamics And Distribution Of Political Votes In Sznajd Model On Square Lattice," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 12(02), pages 159-167.
    44. Gaudiano, Marcos E. & Revelli, Jorge A., 2019. "Spontaneous emergence of a third position in an opinion formation model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 521(C), pages 501-511.
    45. Mingfeng He & Bei Li & Lidong Luo, 2004. "Sznajd Model With "Social Temperature" And Defender On Small-World Networks," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 15(07), pages 997-1003.
    46. M. C. González & A. O. Sousa & H. J. Herrmann, 2006. "Renormalizing Sznajd model on complex networks taking into account the effects of growth mechanisms," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 49(2), pages 253-257, January.
    47. Schneider, Johannes J. & Hirtreiter, Christian, 2005. "The democracy–ochlocracy–dictatorship transition in the Sznajd model and in the Ising model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 353(C), pages 539-554.
    48. R. Ochrombel, 2001. "Simulation Of Sznajd Sociophysics Model With Convincing Single Opinions," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 12(07), pages 1091-1091.
    49. Kondrat, Grzegorz, 2011. "How to introduce temperature to the 1D Sznajd model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(11), pages 2087-2095.
    50. George A. Baker & James P. Hague, 2008. "Rise Of The Centrist: From Binary To Continuous Opinion Dynamics," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 19(09), pages 1459-1475.
    51. Dietrich Stauffer, 2002. "The Sznajd Model Of Consensus Building With Limited Persuasion," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 13(03), pages 315-317.
    52. Grzegorz Kondrat & Katarzyna Sznajd-Weron, 2010. "Spontaneous Reorientations In A Model Of Opinion Dynamics With Anticonformists," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 21(04), pages 559-566.
    53. Sabatelli, Lorenzo & Richmond, Peter, 2004. "Non-monotonic spontaneous magnetization in a Sznajd-like consensus model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 334(1), pages 274-280.
    54. Christian Schulze, 2003. "Advertising In The Sznajd Marketing Model," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 14(01), pages 95-98.
    55. Laxmidhar Behera & Frank Schweitzer, 2003. "On Spatial Consensus Formation: Is The Sznajd Model Different From A Voter Model?," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 14(10), pages 1331-1354.
    56. Yu-Song Tu & A. O. Sousa & Ling-Jiang Kong & Mu-Ren Liu, 2005. "Sznajd Model With Synchronous Updating On Complex Networks," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 16(07), pages 1149-1161.
    57. Kandiah, Vivek & Shepelyansky, Dima L., 2012. "PageRank model of opinion formation on social networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(22), pages 5779-5793.
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