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Selective advantage of tolerant cultural traits in the Axelrod-Schelling model

C. Gracia-Lázaro1, L. M. Floría2,1,*, and Y. Moreno2,3,†

  • 1Departamento de Física de la Materia Condensada, University of Zaragoza, Zaragoza, E-50009, Spain
  • 2Institute for Biocomputation and Physics of Complex Systems (BIFI), University of Zaragoza, Zaragoza, E-50009, Spain
  • 3Departamento de Física Teórica, University of Zaragoza, Zaragoza, E-50009, Spain

  • *mario.floria@gmail.com
  • yamir.moreno@gmail.com

Phys. Rev. E 83, 056103 – Published 4 May, 2011

DOI: https://doi.org/10.1103/PhysRevE.83.056103

Abstract

The Axelrod-Schelling model incorporates into the original Axelrod’s model of cultural dissemination the possibility that cultural agents placed in culturally dissimilar environments move to other places, the strength of this mobility being controlled by an intolerance parameter. By allowing heterogeneity in the intolerance of cultural agents, and considering it as a cultural feature, i.e., susceptible of cultural transmission (thus breaking the original symmetry of Axelrod-Schelling dynamics), we address here the question of whether tolerant or intolerant traits are more likely to become dominant in the long-term cultural dynamics. Our results show that tolerant traits possess a clear selective advantage in the framework of the Axelrod-Schelling model. We show that the reason for this selective advantage is the development, as time evolves, of a positive correlation between the number of neighbors that an agent has in its environment and its tolerant character.

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      References (38)

      1. R. Axelrod and L. Tesfatsion, in Handbook of Computational Economics: Agent-Based Computational Economics, edited by L. Tesfatsion and K. L. Judd (North Holland, Amsterdam, 2006), Vol. 2.
      2. J. M. Epstein and R. Axtell, Growing Artificial Societies: Social Science from the Bottom Up (The MIT Press, Cambridge, MA, 1996).
      3. T. C. Schelling, J. Math. Sociol. 1, 143 (1971).
      4. T. C. Schelling, Micromotives and Macrobehavior (Norton, New York, 1978).
      5. R. Axelrod, J. Conflict. Res. 41, 203 (1997).
      6. S. Galam, J. Stat. Phys. 61, 943 (1990); S. Galam, B. Chopard, A. Masselor, and M. Droz, Eur. Phys. J. B 4, 529 (1998).
      7. D. J. Daley and D. J. Kendall, Nature (London) 204, 1118 (1964).
      8. Y. Moreno, M. Nekovee, and A. Vespignani, Phys. Rev. E 69, 055101 (2004).
      9. C. Castellano, S. Fortunato, and V. Loreto, Rev. Mod. Phys. 81, 591 (2009).
      10. J. Marro and R. Dickman, Nonequilibrium Phase Transitions in Lattice Models (Cambridge University Press, Cambridge, UK, 1999).
      11. A. Barrat, M. Barthélemy, and A. Vespignani, Dynamical Processes in Complex Networks (Cambridge University Press, New York, 2008).
      12. M. A. Nowak, Evolutionary Dynamics (Harvard University Press, Cambridge, MA, 2006).
      13. C. Castellano, M. Marsili, and A. Vespignani, Phys. Rev. Lett. 85, 3536 (2000).
      14. D. Vilone, A. Vespignani, and C. Castellano, Eur. Phys. J. B 30, 399 (2002).
      15. F. Vázquez and S. Redner, Europhys. Lett. 78, 18002 (2007).
      16. K. Klemm, V. M. Eguíluz, R. Toral, and M. San Miguel, Phys. Rev. E 67, 026120 (2003).
      17. K. Klemm et al., Physica A 327, 1 (2003).
      18. B. Guerra, J. Poncela, J. Gómez-Gardenes, V. Latora, and Y. Moreno, Phys. Rev. E 81, 056105 (2010).
      19. K. Klemm, V. M. Eguíluz, R. Toral, and M. San Miguel, Phys. Rev. E 67, 045101(R) (2003).
      20. K. Klemm et al., J. Econ. Dyn. Control 29, 321 (2005).
      21. Y. Shibanai, S. Yasuno, and I. Ishiguro, J. Conflict Resol. 45, 80 (2001).
      22. J. C. González-Avella, M. G. Cosenza, and K. Tucci, Phys. Rev. E 72, 065102 (2005).
      23. J. C. González-Avella, M. G. Cosenza, V. M. Eguíluz, and M. San Miguel, New J. Phys. 12, 013010 (2010).
      24. A. H. Rodríguez and Y. Moreno, Phys. Rev. E 82, 016111 (2010).
      25. J. C. González-Avella, M. G. Cosenza, K. Klemm, V. M. Eguíluz, and M. San Miguel, J. Art. Soc. Soc. Simul. 10, (2007) [http://jasss.soc.surrey.ac.uk/10/3/9.html].
      26. J. C. González-Avella, V. M. Eguíluz, M. G. Cosenza, K. Klemm, J. L. Herrera, and M. San Miguel, Phys. Rev. E 73, 046119 (2006).
      27. F. Vázquez, J. C. González-Avella, V. M. Eguíluz, and M. San Miguel, Phys. Rev. E 76, 046120 (2007).
      28. D. Centola, J. C. González-Avella, V. M. Eguíluz, and M. San Miguel, J. Conflict Resol. 51, 905 (2007).
      29. R. Axtell, R. Axelrod, J. M. Epstein, and M. D. Cohen, Comput. Math. Organ. Theory 1, 123 (1996).
      30. C. Gracia-Lázaro, L. F. Lafuerza, L. M. Floría, and Y. Moreno, Phys. Rev. E 80, 046123 (2009).
      31. N. Vriend and R. Pancs, J. Publ. Econ. 91, 1 (2007).
      32. W. A. V. Clark and M. Fosset, Proc. Natl. Acad. Sci. USA 105, 4109 (2008).
      33. M. Lim, R. Metzler, and Y. Bar-Yam, Science 317, 1540 (2007).
      34. D. Vinkovic and A. Kirman, Proc. Natl. Acad. Sci. USA 103, 19261 (2006).
      35. D. Stauffer and S. Solomon, Eur. Phys. J. B 57, 473 (2007).
      36. L. Dall’Asta, C. Castellano, and M. Marsili, J. Stat. Mech.: Theory Exp. (2008) L07002.
      37. L. Gauvin, J. Vannimenus, and J.-P. Nadal, Eur. Phys. J. B 70, 293 (2009).
      38. L. Gauvin, J.-P. Nadal, and J. Vannimenus, Phys. Rev. E 81, 066120 (2010).

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