Advertisement

The European Physical Journal B

, Volume 66, Issue 1, pp 115–124 | Cite as

Effects of agents' mobility on opinion spreading in Sznajd model

  • A. O. SousaEmail author
  • T. Yu-Song
  • M. Ausloos
Interdisciplinary Physics

Abstract

Under synchronous updating and allowing the agents to move in the lattice or underlying network, we find that the Sznajd model always reaches a consensus as a steady state, – because agent frustrations are removed due to their diffusion. Moreover, we succeed in obtaining the well-known phase transition of the traditional Sznajd model, which depends on the initial concentration of individuals following an opinion. How the time for reaching consensus depends on the system size, and on the topology have been exhaustively investigated. The analyzed topologies were: annealed and quenched dilution on a square lattice, as well as on a variant of the well-known Barabási-Albert model, called triad network.

PACS

82.20.Wt Computational modeling; simulation 87.23.Ge Dynamics of social systems 89.75.Hc Networks and genealogical trees 89.75.Da Systems obeying scaling laws 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. P. Ball, Complexus 1, 190 (2005) Google Scholar
  2. K. Sznajd-Weron, J. Sznajd, Int. J. Mod. Phys. C 11, 1157 (2000) Google Scholar
  3. C. Schulze, Int. J. Mod. Phys. C 14, 95 (2003); C. Schulze, Int. J. Mod. Phys. C 15, 569 (2004); K. Sznajd-Weron, R. Weron, Physica A 324, 437 (2003) Google Scholar
  4. K. Sznajd-Weron, R. Weron, Int. J. Mod. Phys. C 13, 115 (2002) Google Scholar
  5. D. Stauffer, Advances in Complex Systems 5, 97 (2002); A.T. Bernardes, U.M.S. Costa, A.D. Araújo, D. Stauffer, Int. J. Mod. Phys. C 12, 159 (2001); A.T. Bernardes, D. Stauffer, J. Kertész, Eur. Phys. J. B 25, 123 (2002); M.C. González, A.O. Sousa, H.J. Herrmann, Int. J. Mod. Phys. 15, 45 (2004); J.J. Schneider, Int. J. Mod. Phys. C 15, 659 (2004); K. Sznajd-Weron, J. Sznajd, Physica A 351, 593 (2005); D. Stauffer, AIP Conf. Proc. 690, 147 (2003) Google Scholar
  6. D. Stauffer, P.M.C. de Oliveira, Eur. Phys. J. B 30, 587 (2002) Google Scholar
  7. F. Slanina, H. Lavicka, Eur. Phys. J. B 35, 279 (2003); B.M. Roehner, D. Sornette, J.V. Andersen, Int. J. Mod. Phys. C 15, 809 (2004); M.C. González, A.O. Sousa, H.J. Herrmann, Eur. Phys. J B 49, 253 (2006) Google Scholar
  8. T.M. Liggett, Stochastic Interacting Systems: Contact, Voter, and Exclusion Processes (Springer, Berlin, 1999) Google Scholar
  9. J.A. Holyst, K. Kacperski, F. Schweitzer, Annual Reviews of Computational Physics IX (World Scientific, Singapore, 2001), p. 275; K. Kacperski, J.A. Holyst, Physica A 287, 631 (2000) Google Scholar
  10. D. Stauffer, A.O. Sousa, S.M. de Oliveira, Int. J. Mod. Phys. C 11, 1239 (2000) Google Scholar
  11. I. Chang, Int. J. Mod. Phys. C 12, 1509 (2001) Google Scholar
  12. A.A. Moreira, J.S. Andrade Jr, D. Stauffer, Int. J. Mod. Phys. C 12, 39 (2001) Google Scholar
  13. A.S. Elgazzar, Int. J. Mod. Phys. C 12, 1537 (2001) Google Scholar
  14. A.O. Sousa, Physica A 326, 233 (2003) Google Scholar
  15. M.C. González, A.O. Sousa, H.J. Herrmann, Int. J. Mod. Phys. C 15, 45 (2004) Google Scholar
  16. L. Sabatelli, P. Richmond, Physica A 334, 274 (2004) Google Scholar
  17. L. Sabatelli, P. Richmond, Int. J. Mod. Phys. C 14, 1223 (2003) Google Scholar
  18. D. Stauffer, J. Math. Sociology 28, 25 (2004) Google Scholar
  19. Tu Yu-Song, A.O. Sousa, Kong Ling-Jiang, Liu Mu-Ren, Int. J. Mod. Phys. C 16, 1149 (2005) Google Scholar
  20. Tu Yu-Song, A.O. Sousa, Kong Ling-Jiang, Liu Mu-Ren, Physica A 370, 727 (2006) Google Scholar
  21. T.D. Lee, C.N. Yang, Phys. Rev. 87, 410 (1952) Google Scholar
  22. M. Ausloos, P. Clippe, J.M. Kowalski, A. Pekalski, Phys. Rev. A 22, 2218 (1980) Google Scholar
  23. M. Ausloos, P. Clippe, J. Miskiewicz, A. Pekalski, Physica A 344, 1 (2004) Google Scholar
  24. J.P. Boon, D. Dab, R. Kapral, A. Lawniczak, Phys. Rep. 273, 55 (1996) Google Scholar
  25. M. Torri, R. Ferrando, Chem. Phys. Lett. 274, 323 (1997) Google Scholar
  26. F. Hayot, Phys. Rev. A 43, 806 (1991) Google Scholar
  27. M. Sahimi, Applications of Percolation Theory (Taylor and Francis, London, 1994) Google Scholar
  28. D. Stauffer, A. Aharony, Introduction to Percolation Theory, 2nd edition (Taylor and Francis, London, 1994) Google Scholar
  29. A. Bunde, S. Havlin, Fractals and Disordered Systems (Springer, Berlin/Heidelberg, 1996) Google Scholar
  30. X. Gabaix, Quarterly Journal of Economics 114, 739 (1999) Google Scholar
  31. J.C. Córdoba, J. Urban Econom. 63, 177 (2008) Google Scholar
  32. S. Prakash, S. Havlin, M. Schwartz, H.E. Stanley, Phys. Rev. A 46, R1724 (1992) Google Scholar
  33. H.A. Makse, S. Havlin, M. Schwartz, H.E. Stanley, Phys. Rev. E 53, 5445 (1996) Google Scholar
  34. H.A. Makse, J.S. Andrade, M. Batty, S. Havlin, H.E. Stanley, Phys. Rev. E 58, 7054 (1998) Google Scholar
  35. A. Coniglio, C. Nappi, L. Russo, F. Peruggi, J. Phys. A 10, 205 (1977); H.A. Makse, S. Havlin, H.E. Stanley, M. Schwartz, Chaos Solitons Fractals 6, 295 (1995) Google Scholar
  36. M. Batty, O. Longley, Fractal Cities (Academic, San Diego, 1994) Google Scholar
  37. C. Clark, J. Roy, Stat. Soc. Ser. A 114, 490 (1951) Google Scholar
  38. R. Carvalho, A. Penn, Physica A 332, 539 (2004); L.C. Malacarne, R.S. Mendes, E.K. Lenzi, Phys. Rev. E 65, 017106 (2002); P. Jensen, J. Boisson, H. Larralde, Physica A 351, 551 (2005); H.E. Stanley, J.S. Andrade Jr, S. Havlin, H.A. Makse, B. Suki, Physica A 266, 5 (1999) Google Scholar
  39. N. Vandewalle, H. Van Puyvelde, M. Ausloos, Phys. Rev. E 57, 1167 (1998); N. Vandewalle, M. Ausloos, Europhys. Lett. 37, 1 (1997); N. Vandewalle, M. Ausloos, Physica D 90, 262 (1996); M. Kramer, N. Vandewalle, M. Ausloos, J. Phys. I 6, 599 (1996); N. Vandewalle, M. Ausloos, J. Phys. I 5, 1011 (1995); N. Vandewalle, M. Ausloos, Europhys. Lett. 32, 613 (1995) Google Scholar
  40. S. Boccaletti, V. Latora, Y. Moreno, M. Chavez, D.-U. Hwang, Phys. Rep. 424, 175 (2006) Google Scholar
  41. S.N. Dorogovtsev, J.F.F. Mendes, Evolution of Networks: From Biological Nets to the Internet and WWW (Oxford University Press, Oxford, 2003) Google Scholar
  42. D.K. Watts, S.H. Strogatz, Nature 393, 440 (1998) Google Scholar
  43. A.-L. Barabási, R. Albert, Science 286, 509 (1999) Google Scholar
  44. J. Davidsen, H. Ebel, S. Bornholdt, Phys. Rev. Lett. 88, 128701 (2002) Google Scholar
  45. P. Holme, B.J. Kim, Phys. Rev. E 65, 026107 (2002) Google Scholar
  46. G. Szabó, M. Alava, J. Kertész, Phys. Rev. E 67, 056102 (2003) Google Scholar
  47. D. Daupe, in Lectures Notes in Physics: Complex Networks, edited by H.-O Peitigen, D. Saupe (Springer-Verlag, New York, 1988); J. Feder, Fractals (Plenum Press, New York, 1988); C.-K. Peng, S. Havlin, M. Schwartz, H.E. Stanley, Phys. Rev. A 44, 2239 (1991) Google Scholar
  48. Lectures Notes in Physics: Complex Networks, edited by E. Ben-Naim, H. Frauenfelder, Z. Toroczkai (Springer, Berlin/Heidelberg, 2004) Google Scholar
  49. R. Toral, C.J. Tessone, Commun. Comput. Phys. 2, 177 (2007) Google Scholar
  50. S.A. Pandit, R.E. Amritkar, Phys. Rev. E 63, 041104 (2001); F. Jasch, A. Blumen, Phys. Rev. E 63, 041108 (2001); J. Lahtinen, J. Kertész, K. Kaski, Phys. Rev. E 64, 057105 (2001); Shi-Jie Yang, Phys. Rev. E 71, 016107 (2005); J.D. Noh, H. Rieger, Phys. Rev. Lett. 92, 118701 (2004) Google Scholar
  51. J.R.P. French, Psychol. Rev. 63, 81 (1956); E. Chang, D.R. Strunk, J. Counseling Psychology 46, 99 (1999); D.E. Watson, Critical Care Update! 4, 12 (1977), http://www.enformy.com/!ccu3.html; F. Wu, B.A. Huberman, http://www.hpl.hp.com/research/idl/papers/opinions/opinions.pdf Google Scholar
  52. M. Ausloos, unpublished; paper presented at ESHIA (2008) Google Scholar
  53. M.B. Gordon, D. Phan, R. Waldeck, J.P. Nadal, Advances in Cognitive Economics (Sofia NBU Press, 2005), p. 294 Google Scholar
  54. P. Grassberger, Math. Biosci. 63, 157 (1983); D.J. Daley, J. Gani, Epidemic Modelling: An Introduction (Cambridge University Press, Cambridge, 1999); C. Moore, M.E.J. Newman, Phys. Rev. E 61, 5678 (2000); R. Pastor-Satorras, A. Vespignani, Phys. Rev. Lett. 86, 3200 (2001) Google Scholar

Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  1. 1.SUPRATECS, University of LiègeLiègeBelgium
  2. 2.Departamento de Física Teórica e ExperimentalUniversidade Federal do Rio Grande do NorteNatalBrazil
  3. 3.Shanghai Institute of Applied Physics, Chinese Academy of SciencesShanghaiP.R. China

Personalised recommendations