IDEAS home Printed from https://ideas.repec.org/p/arx/papers/2110.05608.html

Tiebout sorting in online communities

Author

Listed:
  • John Lynham
  • Philip R. Neary

Abstract

This paper proposes a stylized, dynamic model to address the issue of sorting online. There are two large homogeneous groups of individuals. Everyone must choose between two online platforms, one of which has superior amenities (akin to having superior local public goods). Each individual enjoys interacting online with those from their own group but dislikes being on the same platform as those in the other group. Unlike a Tiebout model of residential sorting, both platforms have unlimited capacity so there are no constraints on cross-platform migration. It is clear how each group would like to sort themselves but, in the presence of the other type, only the two segregated outcomes are guaranteed to be equilibria. Integration on a platform can be supported in equilibrium as long as the platform is sufficiently desirable. If online integration of the two communities is a desired social outcome then the optimal policy is clear: make the preferred platform even more desirable. Revitalizing the inferior platform will never lead to integration and even increases the likelihood the segregation. Finally, integration is more elastic in response to an increase in platform amenities than to reductions in intolerance.

Suggested Citation

  • John Lynham & Philip R. Neary, 2021. "Tiebout sorting in online communities," Papers 2110.05608, arXiv.org, revised May 2024.
  • Handle: RePEc:arx:papers:2110.05608
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/2110.05608
    File Function: Latest version
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Charles M. Tiebout, 1956. "A Pure Theory of Local Expenditures," Journal of Political Economy, University of Chicago Press, vol. 64(5), pages 416-416.
    2. Binmore, Ken & Samuelson, Larry, 1997. "Muddling Through: Noisy Equilibrium Selection," Journal of Economic Theory, Elsevier, vol. 74(2), pages 235-265, June.
    3. Bergin, James & Lipman, Barton L, 1996. "Evolution with State-Dependent Mutations," Econometrica, Econometric Society, vol. 64(4), pages 943-956, July.
    4. Rajiv Sethi & Rohini Somanathan, 2004. "Inequality and Segregation," Journal of Political Economy, University of Chicago Press, vol. 112(6), pages 1296-1321, December.
    5. Glenn Ellison, 2000. "Basins of Attraction, Long-Run Stochastic Stability, and the Speed of Step-by-Step Evolution," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 67(1), pages 17-45.
    6. Charles F. Manski, 2000. "Economic Analysis of Social Interactions," Journal of Economic Perspectives, American Economic Association, vol. 14(3), pages 115-136, Summer.
    7. Banzhaf, H. Spencer & Walsh, Randall P., 2013. "Segregation and Tiebout sorting: The link between place-based investments and neighborhood tipping," Journal of Urban Economics, Elsevier, vol. 74(C), pages 83-98.
    8. Stephens-Davidowitz, Seth, 2014. "The cost of racial animus on a black candidate: Evidence using Google search data," Journal of Public Economics, Elsevier, vol. 118(C), pages 26-40.
    9. 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.
    10. Philip R Neary & Jonathan Newton, 2017. "Heterogeneity in preferences and behavior in threshold models," The Journal of Mechanism and Institution Design, Society for the Promotion of Mechanism and Institution Design, University of York, vol. 2(1), pages 141-159, December.
    11. Epple, Dennis & Romer, Thomas, 1991. "Mobility and Redistribution," Journal of Political Economy, University of Chicago Press, vol. 99(4), pages 828-858, August.
    12. Zhang, Junfu, 2004. "Residential segregation in an all-integrationist world," Journal of Economic Behavior & Organization, Elsevier, vol. 54(4), pages 533-550, August.
    13. Stephen B. Billings & Eric Chyn & Kareem Haggag, 2021. "The Long-Run Effects of School Racial Diversity on Political Identity," American Economic Review: Insights, American Economic Association, vol. 3(3), pages 267-284, September.
    14. Epple, Dennis & Platt, Glenn J., 1998. "Equilibrium and Local Redistribution in an Urban Economy when Households Differ in both Preferences and Incomes," Journal of Urban Economics, Elsevier, vol. 43(1), pages 23-51, January.
    15. W. Clark, 1991. "Residential preferences and neighborhood racial segregation: A test of the schelling segregation model," Demography, Springer;Population Association of America (PAA), vol. 28(1), pages 1-19, February.
    16. Naidu, Suresh & Hwang, Sung-Ha & Bowles, Samuel, 2010. "Evolutionary bargaining with intentional idiosyncratic play," Economics Letters, Elsevier, vol. 109(1), pages 31-33, October.
    17. Dennis Epple & Holger Sieg, 1999. "Estimating Equilibrium Models of Local Jurisdictions," Journal of Political Economy, University of Chicago Press, vol. 107(4), pages 645-681, August.
    18. Raquel Fernandez & Richard Rogerson, 1996. "Income Distribution, Communities, and the Quality of Public Education," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 111(1), pages 135-164.
    19. Durlauf, Steven N, 1996. "A Theory of Persistent Income Inequality," Journal of Economic Growth, Springer, vol. 1(1), pages 75-93, March.
    20. Ennio Bilancini & Leonardo Boncinelli, 2020. "The evolution of conventions under condition-dependent mistakes," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 69(2), pages 497-521, March.
    21. George A. Akerlof, 1997. "Social Distance and Social Decisions," Econometrica, Econometric Society, vol. 65(5), pages 1005-1028, September.
    22. Ioannides, Yannis M. & Seslen, Tracey N., 2002. "Neighborhood wealth distributions," Economics Letters, Elsevier, vol. 76(3), pages 357-367, August.
    23. Roland Benabou, 1993. "Workings of a City: Location, Education, and Production," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 108(3), pages 619-652.
    24. William A. Brock & Steven N. Durlauf, 2001. "Discrete Choice with Social Interactions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 68(2), pages 235-260.
    25. Assar Lindbeck & Sten Nyberg & Jörgen W. Weibull, 1999. "Social Norms and Economic Incentives in the Welfare State," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 114(1), pages 1-35.
    26. Lim, Wooyoung & Neary, Philip R., 2016. "An experimental investigation of stochastic adjustment dynamics," Games and Economic Behavior, Elsevier, vol. 100(C), pages 208-219.
    27. Kenneth J. Arrow, 1998. "What Has Economics to Say about Racial Discrimination?," Journal of Economic Perspectives, American Economic Association, vol. 12(2), pages 91-100, Spring.
    28. Kandori, Michihiro & Mailath, George J & Rob, Rafael, 1993. "Learning, Mutation, and Long Run Equilibria in Games," Econometrica, Econometric Society, vol. 61(1), pages 29-56, January.
    29. Blume Lawrence E., 1993. "The Statistical Mechanics of Strategic Interaction," Games and Economic Behavior, Elsevier, vol. 5(3), pages 387-424, July.
    30. Junfu Zhang, 2011. "Tipping And Residential Segregation: A Unified Schelling Model," Journal of Regional Science, Wiley Blackwell, vol. 51(1), pages 167-193, February.
    31. Schelling, Thomas C, 1969. "Models of Segregation," American Economic Review, American Economic Association, vol. 59(2), pages 488-493, May.
    32. Sung-Ha Hwang & Suresh Naidu & Samuel Bowles, 2024. "Social Conflict and the Evolution of Unequal Conventions," Journal of the European Economic Association, European Economic Association, vol. 22(5), pages 2261-2293.
    33. Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January.
    34. de Bartolome, Charles A M, 1990. "Equilibrium and Inefficiency in a Community Model with Peer Group Effects," Journal of Political Economy, University of Chicago Press, vol. 98(1), pages 110-133, February.
    35. J. Barkley Rosser, 1999. "On the Complexities of Complex Economic Dynamics," Journal of Economic Perspectives, American Economic Association, vol. 13(4), pages 169-192, Fall.
    36. Matthew Gentzkow & Jesse M. Shapiro, 2011. "Ideological Segregation Online and Offline," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 126(4), pages 1799-1839.
    Full references (including those not matched with items on IDEAS)

    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. 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. Nicolai V. Kuminoff & V. Kerry Smith & Christopher Timmins, 2010. "The New Economics of Equilibrium Sorting and its Transformational Role for Policy Evaluation," NBER Working Papers 16349, National Bureau of Economic Research, Inc.
    3. Bilancini, Ennio & Boncinelli, Leonardo & Nax, Heinrich H., 2021. "What noise matters? Experimental evidence for stochastic deviations in social norms," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 90(C).
    4. Roberto Rozzi, 2021. "Competing Conventions with Costly Information Acquisition," Games, MDPI, vol. 12(3), pages 1-29, June.
    5. Jonathan Newton, 2018. "Evolutionary Game Theory: A Renaissance," Games, MDPI, vol. 9(2), pages 1-67, May.
    6. Sawa, Ryoji, 2021. "A stochastic stability analysis with observation errors in normal form games," Games and Economic Behavior, Elsevier, vol. 129(C), pages 570-589.
    7. Giulio Zanella, 2004. "Social Interactions and Economic Behavior," Department of Economics University of Siena 441, Department of Economics, University of Siena.
    8. Sawa, Ryoji & Wu, Jiabin, 2018. "Reference-dependent preferences, super-dominance and stochastic stability," Journal of Mathematical Economics, Elsevier, vol. 78(C), pages 96-104.
    9. Calabrese, Stephen & Epple, Dennis & Romer, Thomas & Sieg, Holger, 2006. "Local public good provision: Voting, peer effects, and mobility," Journal of Public Economics, Elsevier, vol. 90(6-7), pages 959-981, August.
    10. Azomahou, T. & Opolot, D., 2014. "Stability and strategic diffusion in networks," MERIT Working Papers 2014-035, United Nations University - Maastricht Economic and Social Research Institute on Innovation and Technology (MERIT).
    11. Holmes, Thomas J. & Sieg, Holger, 2015. "Structural Estimation in Urban Economics," Handbook of Regional and Urban Economics, in: Gilles Duranton & J. V. Henderson & William C. Strange (ed.), Handbook of Regional and Urban Economics, edition 1, volume 5, chapter 0, pages 69-114, Elsevier.
    12. Lim, Wooyoung & Neary, Philip R., 2016. "An experimental investigation of stochastic adjustment dynamics," Games and Economic Behavior, Elsevier, vol. 100(C), pages 208-219.
    13. 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.
    14. Trevor Kollmann & Simone Marsiglio & Sandy Suardi & Marco Tolotti, 2021. "Social interactions, residential segregation and the dynamics of tipping," Journal of Evolutionary Economics, Springer, vol. 31(4), pages 1355-1388, September.
    15. Sawa, Ryoji, 2021. "A prospect theory Nash bargaining solution and its stochastic stability," Journal of Economic Behavior & Organization, Elsevier, vol. 184(C), pages 692-711.
    16. 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.
    17. Rajiv Sethi & Rohini Somanathan, 2004. "Inequality and Segregation," Journal of Political Economy, University of Chicago Press, vol. 112(6), pages 1296-1321, December.
    18. Opolot, Daniel & Azomahou, Theophile, 2012. "Learning and convergence in networks," MERIT Working Papers 2012-074, United Nations University - Maastricht Economic and Social Research Institute on Innovation and Technology (MERIT).
    19. Bilancini, Ennio & Boncinelli, Leonardo & Newton, Jonathan, 2020. "Evolution and Rawlsian social choice in matching," Games and Economic Behavior, Elsevier, vol. 123(C), pages 68-80.
    20. Eugenio Vicario, 2021. "Imitation and Local Interactions: Long Run Equilibrium Selection," Games, MDPI, vol. 12(2), pages 1-19, April.

    More about this item

    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • J15 - Labor and Demographic Economics - - Demographic Economics - - - Economics of Minorities, Races, Indigenous Peoples, and Immigrants; Non-labor Discrimination
    • L86 - Industrial Organization - - Industry Studies: Services - - - Information and Internet Services; Computer Software

    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:arx:papers:2110.05608. 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: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    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.