IDEAS home Printed from https://ideas.repec.org/a/eee/gamebe/v38y2002i2p318-346.html
   My bibliography  Save this article

Stability and Segregation in Group Formation

Author

Listed:
  • Milchtaich, Igal
  • Winter, Eyal

Abstract

This paper presents a model of group formation based on the assumption that individuals prefer to associate with people similar to them. It is shown that, in general, if the number of groups that can be formed is bounded, then a stable partition of the society into groups may not exist. A partition is defined as stable if none of the individuals would prefer be in a different group than the one he is in. However, if individuals’ characteristics are one-dimensional, then a stable partition always exists. We give sufficient conditions for stable partitions to be segregating (in the sense that, for example, low-characteristic individuals are in one group and high-characteristic ones are in another) and Pareto efficient. In addition, we propose a dynamic model of individual myopic behavior describing the evolution of group formation to an eventual stable, segregating, and Pareto efficient partition.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Milchtaich, Igal & Winter, Eyal, 2002. "Stability and Segregation in Group Formation," Games and Economic Behavior, Elsevier, vol. 38(2), pages 318-346, February.
  • Handle: RePEc:eee:gamebe:v:38:y:2002:i:2:p:318-346
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0899-8256(01)90878-4
    Download Restriction: Full text for ScienceDirect subscribers only

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Greenberg Joseph & Weber Shlomo, 1993. "Stable Coalition Structures with a Unidimensional Set of Alternatives," Journal of Economic Theory, Elsevier, vol. 60(1), pages 62-82, June.
    2. Le Breton, M & Owen, G & Weber, S, 1992. "Strongly Balanced Cooperative Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 20(4), pages 419-427.
    3. Westhoff, Frank, 1979. "Policy inferences from community choice models: A caution," Journal of Urban Economics, Elsevier, vol. 6(4), pages 535-549, October.
    4. repec:adr:anecst:y:1997:i:45:p:09 is not listed on IDEAS
    5. Kaneko, Mamoru & Kimura, Toshiyuki, 1992. "Conventions, social prejudices and discrimination: A festival game with merrymakers," Games and Economic Behavior, Elsevier, vol. 4(4), pages 511-527, October.
    6. Ellickson, Bryan & Grodal, Birgit & Scotchmer, Suzanne & Zame, William R., 2001. "Clubs and the Market: Large Finite Economies," Journal of Economic Theory, Elsevier, vol. 101(1), pages 40-77, November.
    7. Bryan Ellickson & Birgit Grodal & Suzanne Scotchmer & William R. Zame, 1999. "Clubs and the Market," Econometrica, Econometric Society, vol. 67(5), pages 1185-1218, September.
    8. Bewley, Truman F, 1981. "A Critique of Tiebout's Theory of Local Public Expenditures," Econometrica, Econometric Society, vol. 49(3), pages 713-740, May.
    9. Karni, Edi & Schmeidler, David, 1990. "Fixed Preferences and Changing Tastes," American Economic Review, American Economic Association, vol. 80(2), pages 262-267, May.
    10. Igal Milchtaich, 1998. "Crowding games are sequentially solvable," International Journal of Game Theory, Springer;Game Theory Society, vol. 27(4), pages 501-509.
    11. Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January.
    12. Wooders, Myrna, 1980. "The Tiebout Hypothesis: Near Optimality in Local Public Good Economies," Econometrica, Econometric Society, vol. 48(6), pages 1467-1485, September.
    13. Bernheim, B. Douglas & Peleg, Bezalel & Whinston, Michael D., 1987. "Coalition-Proof Nash Equilibria I. Concepts," Journal of Economic Theory, Elsevier, vol. 42(1), pages 1-12, June.
    14. Bogomolnaia, Anna & Jackson, Matthew O., 2002. "The Stability of Hedonic Coalition Structures," Games and Economic Behavior, Elsevier, vol. 38(2), pages 201-230, February.
    15. Tayfun Sönmez & Suryapratim Banerjee & Hideo Konishi, 2001. "Core in a simple coalition formation game," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(1), pages 135-153.
    16. Westhoff, Frank, 1977. "Existence of equilibria in economies with a local public good," Journal of Economic Theory, Elsevier, vol. 14(1), pages 84-112, February.
    17. Kaneko, Mamoru & Wooders, Myrna Holtz, 1982. "Cores of partitioning games," Mathematical Social Sciences, Elsevier, vol. 3(4), pages 313-327, December.
    18. Greenberg, J. & Weber, S., 1991. "Stable Coalition Structures with Unidimensional Set of Alternatives," Papers 9133, Tilburg - Center for Economic Research.
    19. Konishi, Hideo & Le Breton, Michel & Weber, Shlomo, 1998. "Equilibrium in a Finite Local Public Goods Economy," Journal of Economic Theory, Elsevier, vol. 79(2), pages 224-244, April.
    20. Monderer, Dov & Shapley, Lloyd S., 1996. "Potential Games," Games and Economic Behavior, Elsevier, vol. 14(1), pages 124-143, May.
    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. Emiliya Lazarova & Dinko Dimitrov, 2013. "Status-seeking in hedonic games with heterogeneous players," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(4), pages 1205-1229, April.
    2. Bernard, Mark & Hett, Florian & Mechtel, Mario, 2016. "Social identity and social free-riding," European Economic Review, Elsevier, vol. 90(C), pages 4-17.
    3. Steven J. Brams & Michael A. Jones & D. Marc Kilgour, 2002. "Single-Peakedness and Disconnected Coalitions," Journal of Theoretical Politics, , vol. 14(3), pages 359-383, July.
    4. Desmet, Klaus & Le Breton, Michel & Ortuno-Ortin, Ignacio, 2006. "Nation Formation and Genetic Diversity," IDEI Working Papers 133, Institut d'Économie Industrielle (IDEI), Toulouse.
    5. Tayfun Sönmez & Suryapratim Banerjee & Hideo Konishi, 2001. "Core in a simple coalition formation game," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(1), pages 135-153.
    6. Klaus Desmet & Michel Breton & Ignacio Ortuño-Ortín & Shlomo Weber, 2011. "The stability and breakup of nations: a quantitative analysis," Journal of Economic Growth, Springer, vol. 16(3), pages 183-213, September.
    7. Alberto Alesina & Eliana La Ferrara, 2003. "Ethnic Diversity and Economic Performance," Harvard Institute of Economic Research Working Papers 2028, Harvard - Institute of Economic Research.
    8. Antoni Rubí-Barceló, 2013. "Efficiency and stability in a strategic model of hedonic coalitions," International Journal of Economic Theory, The International Society for Economic Theory, vol. 9(2), pages 131-145, June.
    9. Emiliya Lazarova & Dinko Dimitrov, 2010. "Status-Seeking In Coalitional Matching Problems," Economics Working Papers 10-02, Queen's Management School, Queen's University Belfast.
    10. Salvador Barber?Author-Name: Carmen Bevi?Author-Email: Carmen.Bevia@uab.es, "undated". "Stable Condorcet Rules," UFAE and IAE Working Papers 539.02, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    11. Morelli, Massimo & Park, In-Uck, 2016. "Internal hierarchy and stable coalition structures," Games and Economic Behavior, Elsevier, vol. 96(C), pages 90-96.
    12. Alison Watts, 2007. "Formation of segregated and integrated groups," International Journal of Game Theory, Springer;Game Theory Society, vol. 35(4), pages 505-519, April.
    13. Arnold, Tone & Wooders, Myrna, 2002. "Dynamic Club Formation With Coordination," The Warwick Economics Research Paper Series (TWERPS) 640, University of Warwick, Department of Economics.
    14. Barbera, Salvador & Bevia, Carmen, 2006. "Locating public facilities by majority: Stability, consistency and group formation," Games and Economic Behavior, Elsevier, vol. 56(1), pages 185-200, July.
    15. Kleinberg, Jon & Ligett, Katrina, 2013. "Information-sharing in social networks," Games and Economic Behavior, Elsevier, vol. 82(C), pages 702-716.
    16. 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.
    17. Dominik Karos, 2013. "Bargaining and Power," Working Papers 2013.63, Fondazione Eni Enrico Mattei.
    18. Guillaume Haeringer, 2000. "Stable Coalition Structures with Fixed Decision Schme," UFAE and IAE Working Papers 471.00, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    19. Barbera, Salvador & Bevia, Carmen, 2002. "Self-Selection Consistent Functions," Journal of Economic Theory, Elsevier, vol. 105(2), pages 263-277, August.
    20. Alison Watts, 2006. "Formation of Segregated and Integrated Groups," Working Papers 2006.127, Fondazione Eni Enrico Mattei.
    21. Klaus Desmet & Michel Le Breton & Ignacio Ortuno-Ortin & Shlomo Weber, 2008. "Stability of Nations and Genetic Diversity," Working Papers 003-08, International School of Economics at TSU, Tbilisi, Republic of Georgia.
    22. Guillaume Haeringer, 2000. "Stable Coalition Structures with Common Decision Scheme," Econometric Society World Congress 2000 Contributed Papers 1077, Econometric Society.
    23. Le Breton, Michel & Weber, Shlomo, 2004. "Group Formation with Heterogeneous Sets," IDEI Working Papers 288, Institut d'Économie Industrielle (IDEI), Toulouse.

    More about this item

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • H41 - Public Economics - - Publicly Provided Goods - - - Public Goods

    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:eee:gamebe:v:38:y:2002:i:2:p:318-346. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Dana Niculescu). General contact details of provider: http://www.elsevier.com/locate/inca/622836 .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.