IDEAS home Printed from https://ideas.repec.org/a/eee/gamebe/v96y2016icp90-96.html
   My bibliography  Save this article

Internal hierarchy and stable coalition structures

Author

Listed:
  • Morelli, Massimo
  • Park, In-Uck

Abstract

In deciding whether to join a coalition or not, an agent must consider both i) the expected power of the coalition and ii) her position in the vertical structure within the coalition. We establish the existence of a positive relationship between the degree of inequality in remuneration within coalitions and the number of coalitions to be formed endogenously in stable systems. We show that such coalitions can be mixed and balanced, rather than segregated, in terms of members' ability levels. In any stable system each coalition is of an efficient size and every agent is paid her marginal contribution.

Suggested Citation

  • Morelli, Massimo & Park, In-Uck, 2016. "Internal hierarchy and stable coalition structures," Games and Economic Behavior, Elsevier, vol. 96(C), pages 90-96.
    • Handle: RePEc:eee:gamebe:v:96:y:2016:i:c:p:90-96
    DOI: 10.1016/j.geb.2016.01.007
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0899825616000117
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.geb.2016.01.007?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    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. Willis, Robert J & Rosen, Sherwin, 1979. "Education and Self-Selection," Journal of Political Economy, University of Chicago Press, vol. 87(5), pages 7-36, October.
    2. Guesnerie, Roger & Oddou, Claude, 1981. "Second best taxation as a game," Journal of Economic Theory, Elsevier, vol. 25(1), pages 67-91, August.
    3. 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.
    4. George A. Akerlof, 1997. "Social Distance and Social Decisions," Econometrica, Econometric Society, vol. 65(5), pages 1005-1028, September.
    5. Massimo Morelli, 2004. "Party Formation and Policy Outcomes under Different Electoral Systems," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 71(3), pages 829-853.
    6. William R. Zame, 2007. "Incentives, Contracts, and Markets: A General Equilibrium Theory of Firms," Econometrica, Econometric Society, vol. 75(5), pages 1453-1500, September.
    7. Siddhartha Bandyopadhyay & Kalyan Chatterjee & Tomas Sjöström, 2013. "Pre-electoral Coalitions and Post-election Bargaining," World Scientific Book Chapters, in: Bargaining in the Shadow of the Market Selected Papers on Bilateral and Multilateral Bargaining, chapter 7, pages 129-181, World Scientific Publishing Co. Pte. Ltd..
    8. Sang-Seung, Yi, 1996. "Endogenous formation of customs unions under imperfect competition: open regionalism is good," Journal of International Economics, Elsevier, vol. 41(1-2), pages 153-177, August.
    9. Bryan Ellickson & Birgit Grodal & Suzanne Scotchmer & William R. Zame, 1999. "Clubs and the Market," Econometrica, Econometric Society, vol. 67(5), pages 1185-1218, September.
    10. Legros, Patrick & Newman, Andrew F., 1996. "Wealth Effects, Distribution, and the Theory of Organization," Journal of Economic Theory, Elsevier, vol. 70(2), pages 312-341, August.
    11. Daron Acemoglu & Georgy Egorov & Konstantin Sonin, 2012. "Dynamics and Stability of Constitutions, Coalitions, and Clubs," American Economic Review, American Economic Association, vol. 102(4), pages 1446-1476, June.
    12. Morelli, Massimo & Park, In-Uck, 2016. "Internal hierarchy and stable coalition structures," Games and Economic Behavior, Elsevier, vol. 96(C), pages 90-96.
    13. Demange, Gabrielle, 1994. "Intermediate preferences and stable coalition structures," Journal of Mathematical Economics, Elsevier, vol. 23(1), pages 45-58, January.
    14. Gabrielle Demange, 2004. "On Group Stability in Hierarchies and Networks," Journal of Political Economy, University of Chicago Press, vol. 112(4), pages 754-778, August.
    15. Barberà, Salvador & Beviá, Carmen & Ponsatí, Clara, 2015. "Meritocracy, egalitarianism and the stability of majoritarian organizations," Games and Economic Behavior, Elsevier, vol. 91(C), pages 237-257.
    16. Bogomolnaia, Anna & Jackson, Matthew O., 2002. "The Stability of Hedonic Coalition Structures," Games and Economic Behavior, Elsevier, vol. 38(2), pages 201-230, February.
    17. 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.
    18. 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.
    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. Levy, Gilat, 2004. "A model of political parties," Journal of Economic Theory, Elsevier, vol. 115(2), pages 250-277, April.
    21. Philippe Jehiel & Suzanne Scotchmer, 2001. "Constitutional Rules of Exclusion in Jurisdiction Formation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 68(2), pages 393-413.
    22. Charles M. Tiebout, 1956. "A Pure Theory of Local Expenditures," Journal of Political Economy, University of Chicago Press, vol. 64(5), pages 416-416.
    23. Ettore Damiano & Hao Li & Wing Suen, 2010. "First In Village Or Second In Rome?," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 51(1), pages 263-288, February.
    24. Milchtaich, Igal & Winter, Eyal, 2002. "Stability and Segregation in Group Formation," Games and Economic Behavior, Elsevier, vol. 38(2), pages 318-346, February.
    25. Greenberg, Joseph & Weber, Shlomo, 1986. "Strong tiebout equilibrium under restricted preferences domain," Journal of Economic Theory, Elsevier, vol. 38(1), pages 101-117, February.
    26. Michel Breton & Ignacio Ortuño-Ortin & Shlomo Weber, 2008. "Gamson’s law and hedonic games," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 30(1), pages 57-67, January.
    27. Luis Garicano & Esteban Rossi-Hansberg, 2006. "Organization and Inequality in a Knowledge Economy," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 121(4), pages 1383-1435.
    28. Wooders, Myrna, 1978. "Equilibria, the core, and jurisdiction structures in economies with a local public good," Journal of Economic Theory, Elsevier, vol. 18(2), pages 328-348, August.
    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. Tobias Hiller, 2022. "Abilities and the structure of the firm," International Review of Economics, Springer;Happiness Economics and Interpersonal Relations (HEIRS), vol. 69(3), pages 339-349, September.
    2. Demange, Gabrielle, 2024. "Stable outcomes in simple cooperative games," Journal of Mathematical Economics, Elsevier, vol. 111(C).
    3. Herings, P. Jean-Jacques & Saulle, Riccardo & Seel, Christian, 2018. "The Last will be First, and the First Last: Segregation in Societies with Positional Externalities," Research Memorandum 027, Maastricht University, Graduate School of Business and Economics (GSBE).
    4. Hideaki Goto, 2021. "Marginal Productivity and Coalition Formation with Distributive Norms," Working Papers EMS_2021_05, Research Institute, International University of Japan.
    5. Morelli, Massimo & Park, In-Uck, 2016. "Internal hierarchy and stable coalition structures," Games and Economic Behavior, Elsevier, vol. 96(C), pages 90-96.
    6. Barberà, Salvador & Beviá, Carmen & Ponsatí, Clara, 2015. "Meritocracy, egalitarianism and the stability of majoritarian organizations," Games and Economic Behavior, Elsevier, vol. 91(C), pages 237-257.
    7. Gabrielle Demange, 2017. "The stability of group formation," Revue d'économie politique, Dalloz, vol. 127(4), pages 495-516.
    8. Herings, P. Jean-Jacques & Saulle, Riccardo & Seel, Christian, 2020. "The Last will be First, and the First Last: Segregation in Societies with Relative Payoff Concerns (RM/18/027-revised-)," Research Memorandum 011, Maastricht University, Graduate School of Business and Economics (GSBE).
    9. Tobias Hiller, 2023. "Training, Abilities and the Structure of Teams," Games, MDPI, vol. 14(3), pages 1-8, May.

    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. Gabrielle Demange, 2017. "The stability of group formation," Revue d'économie politique, Dalloz, vol. 127(4), pages 495-516.
    2. Guillaume Haeringer, 2000. "Stable Coalition Structures with Common Decision Scheme," Econometric Society World Congress 2000 Contributed Papers 1077, Econometric Society.
    3. 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.
    4. Allouch, Nizar & Conley, John P. & Wooders, Myrna, 2009. "Anonymous price taking equilibrium in Tiebout economies with a continuum of agents: Existence and characterization," Journal of Mathematical Economics, Elsevier, vol. 45(9-10), pages 492-510, September.
    5. Alison Watts, 2006. "Formation of Segregated and Integrated Groups," Working Papers 2006.127, Fondazione Eni Enrico Mattei.
    6. Conley, John P. & Konishi, Hideo, 2002. "Migration-proof Tiebout equilibrium: existence and asymptotic efficiency," Journal of Public Economics, Elsevier, vol. 86(2), pages 243-262, November.
    7. 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).
    8. John P. Conley & Myrna Holtz Wooders, 1998. "The Tiebout Hypothesis: On the Existence of Pareto Efficient Competitive Equilibrium," Working Papers mwooders-98-06, University of Toronto, Department of Economics.
    9. Anna Bogomolnaia & Michel Le Breton & Alexei Savvateev & Shlomo Weber, 2008. "Heterogeneity Gap in Stable Jurisdiction Structures," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 10(3), pages 455-473, June.
    10. 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.
    11. Haimanko, Ori & Le Breton, Michel & Weber, Shlomo, 2004. "Voluntary formation of communities for the provision of public projects," Journal of Economic Theory, Elsevier, vol. 115(1), pages 1-34, March.
    12. Barberà, Salvador & Beviá, Carmen & Ponsatí, Clara, 2015. "Meritocracy, egalitarianism and the stability of majoritarian organizations," Games and Economic Behavior, Elsevier, vol. 91(C), pages 237-257.
    13. Gravel, Nicolas & Thoron, Sylvie, 2007. "Does endogenous formation of jurisdictions lead to wealth-stratification?," Journal of Economic Theory, Elsevier, vol. 132(1), pages 569-583, January.
    14. Le Breton, Michel & Weber, Shlomo, 2004. "Group Formation with Heterogeneous Sets," IDEI Working Papers 288, Institut d'Économie Industrielle (IDEI), Toulouse.
    15. Drèze, Jacques & Le Breton, Michel & Savvateev, Alexei & Weber, Shlomo, 2008. ""Almost" subsidy-free spatial pricing in a multi-dimensional setting," Journal of Economic Theory, Elsevier, vol. 143(1), pages 275-291, November.
    16. Matthias Dahm, 2010. "Free mobility and taste-homogeneity of jurisdiction structures," International Journal of Game Theory, Springer;Game Theory Society, vol. 39(1), pages 259-272, March.
    17. Watts, Alison, 2006. "Formation of Segregated and Integrated Groups," Coalition Theory Network Working Papers 12171, Fondazione Eni Enrico Mattei (FEEM).
    18. Herings, P. Jean-Jacques & Saulle, Riccardo & Seel, Christian, 2020. "The Last will be First, and the First Last: Segregation in Societies with Relative Payoff Concerns (RM/18/027-revised-)," Research Memorandum 011, Maastricht University, Graduate School of Business and Economics (GSBE).
    19. Nizar Allouch & John P. Conley & Myrna Wooders, 2006. "Anonymous Price Taking Equilibrium in Tiebout Economies with Unbounded Club Sizes," Working Papers 556, Queen Mary University of London, School of Economics and Finance.
    20. Hans Gersbach & Hans Haller, 2018. "Power at general equilibrium," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 50(3), pages 425-455, March.

    More about this item

    Keywords

    Stable systems; Abilities; Cyclic partition; Non-segregation;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

    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:96:y:2016:i:c:p:90-96. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/622836 .

    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.