IDEAS home Printed from https://ideas.repec.org/p/ivi/wpasad/2007-16.html
   My bibliography  Save this paper

Modelling Segregation Through Cellular Automata: A Theoretical Answer

Author

Listed:
  • Juan Miguel Benito

    (Universidad del País Vasco)

  • Penélope Hernández

    (Universidad de Alicante)

Abstract

This paper is a note in which we prove that Cellular Automata are suitable tools to model multi-agent interactive procedures. In particular, we apply the argument to validate results from simulation tools obtained for the classical model of segregation of Thomas Schelling (1971a).

Suggested Citation

  • Juan Miguel Benito & Penélope Hernández, 2007. "Modelling Segregation Through Cellular Automata: A Theoretical Answer," Working Papers. Serie AD 2007-16, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  • Handle: RePEc:ivi:wpasad:2007-16
    as

    Download full text from publisher

    File URL: http://www.ivie.es/downloads/docs/wpasad/wpasad-2007-16.pdf
    File Function: Fisrt version / Primera version, 2007
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Pancs, Romans & Vriend, Nicolaas J., 2007. "Schelling's spatial proximity model of segregation revisited," Journal of Public Economics, Elsevier, vol. 91(1-2), pages 1-24, February.
    2. Zhang, Junfu, 2004. "Residential segregation in an all-integrationist world," Journal of Economic Behavior & Organization, Elsevier, vol. 54(4), pages 533-550, August.
    3. Schelling, Thomas C, 1969. "Models of Segregation," American Economic Review, American Economic Association, vol. 59(2), pages 488-493, May.
    4. David F. Batten, 2001. "Complex landscapes of spatial interaction," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 35(1), pages 81-111.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Martin Pomares Calero, 2024. "Entropy and Economics," Papers 2407.00022, arXiv.org.
    2. Zhikharevich, Vladimir & Ostapov, Sergiy, 2016. "Modeling of impurities segregation phenomenon in the melt crystallization process by the continuous cellular automata techniqueAuthor-Name: Shumylyak, Liliya," Applied Mathematics and Computation, Elsevier, vol. 290(C), pages 336-354.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Grauwin, Sébastian & Goffette-Nagot, Florence & Jensen, Pablo, 2012. "Dynamic models of residential segregation: An analytical solution," Journal of Public Economics, Elsevier, vol. 96(1), pages 124-141.
    2. Pancs, Romans & Vriend, Nicolaas J., 2007. "Schelling's spatial proximity model of segregation revisited," Journal of Public Economics, Elsevier, vol. 91(1-2), pages 1-24, February.
    3. Florence Goffette-Nagot & Pablo Jensen & Sebastian Grauwin, 2009. "Dynamic models of residential segregation: Brief review, analytical resolution and study of the introduction of coordination," Post-Print halshs-00404400, HAL.
    4. Florent Dubois & Christophe Muller, 2017. "Segregation and the Perception of the Minority," Working Papers halshs-01520308, HAL.
    5. Itzhak Benenson & Erez Hatna & Ehud Or, 2009. "From Schelling to Spatially Explicit Modeling of Urban Ethnic and Economic Residential Dynamics," Sociological Methods & Research, , vol. 37(4), pages 463-497, May.
    6. Benito-Ostolaza, Juan M. & Brañas-Garza, Pablo & Hernández, Penélope & Sanchis-Llopis, Juan A., 2015. "Strategic behaviour in Schelling dynamics: Theory and experimental evidence," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 57(C), pages 134-147.
    7. Sheng Li & Kuo-Liang Chang & Lanlan Wang, 2020. "Racial residential segregation in multiple neighborhood markets: a dynamic sorting study," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 15(2), pages 363-383, April.
    8. Harting, Philipp & Radi, Davide, 2020. "Residential segregation: The role of inequality and housing subsidies," Journal of Economic Behavior & Organization, Elsevier, vol. 178(C), pages 801-819.
    9. Laura Gardini & Davide Radi, 2018. "A piecewise smooth model of evolutionary game for residential mobility and segregation," Working Papers 1802, University of Urbino Carlo Bo, Department of Economics, Society & Politics - Scientific Committee - L. Stefanini & G. Travaglini, revised 2018.
    10. Jiang, Ge, 2021. "Schelling’s model revisited: From segregation to integration," Economics Letters, Elsevier, vol. 205(C).
    11. Benito-Ostolaza, Juan M. & Brañas-Garza, Pablo & Hernández, Penélope & Sanchis-Llopis, Juan A., 2015. "Strategic behaviour in Schelling dynamics: Theory and experimental evidence," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 57(C), pages 134-147.
    12. Zhiwei Cui & Yan-An Hwang, 2017. "House exchange and residential segregation in networks," International Journal of Game Theory, Springer;Game Theory Society, vol. 46(1), pages 125-147, March.
    13. Bøg, Martin, 2007. "Is Segregation Robust?," MPRA Paper 8774, University Library of Munich, Germany.
    14. Elsner, Wolfram & Heinrich, Torsten, 2009. "A simple theory of 'meso'. On the co-evolution of institutions and platform size--With an application to varieties of capitalism and 'medium-sized' countries," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 38(5), pages 843-858, October.
    15. John Lynham & Philip R. Neary, 2021. "Tiebout sorting in online communities," Papers 2110.05608, arXiv.org, revised May 2024.
    16. Zhaohua Zhang & Derrick Robinson & Diane Hite, 2018. "Racial Residential Segregation: Measuring Location Choice Attributes of Environmental Quality and Self-Segregation," Sustainability, MDPI, vol. 10(4), pages 1-20, April.
    17. Abhinav Singh & Dmitri Vainchtein & Howard Weiss, 2009. "Schelling's Segregation Model: Parameters, scaling, and aggregation," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 21(12), pages 341-366.
    18. Fagiolo, Giorgio & Valente, Marco & Vriend, Nicolaas J., 2007. "Segregation in networks," Journal of Economic Behavior & Organization, Elsevier, vol. 64(3-4), pages 316-336.
    19. Isabel Melguizo, 2023. "Group representation concerns and network formation," Bulletin of Economic Research, Wiley Blackwell, vol. 75(1), pages 151-179, January.
    20. John Lynham & Philip R. Neary, 2024. "Tiebout sorting in online communities," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 73(3), pages 1149-1174, October.

    More about this item

    Keywords

    Cellular Automata; segregation; local information;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:ivi:wpasad:2007-16. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Departamento de Edición (email available below). General contact details of provider: https://edirc.repec.org/data/ievages.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.