IDEAS home Printed from https://ideas.repec.org/p/ags/feemwp/343508.html
   My bibliography  Save this paper

Effort Provision and Incentivisation in Tullock Group-Contests with Many Groups: An Explicit Characterisation

Author

Listed:
  • Bosco, Davide
  • Gilli, Mario

Abstract

We study effort provision and incentivisation in a Tullock group-contest with m ≥ 2 groups that differ in size. A novel algorithmic procedure is presented that, under a symmetry assumption, explicitly characterises the equilibrium. Endogenous, optimal incentivisation schemes are then determined. Four results ensue. First, strategic interactions endogenously come in mean-field form: individual effort provision responds to the aggregate effort and average egalitarianism across groups. Therefore, the game is aggregative. Second, individuals endlessly cycle between zero and positive effort provision at some incentivisation schemes: no pure-strategy equilibria exist in these cases. Third, group size determines whether the egalitarianism of endogenous schemes increases or decreases in the average egalitarianism across groups. Fourth, all groups provide effort at the endogenous schemes if incentivisation is properly restricted.

Suggested Citation

  • Bosco, Davide & Gilli, Mario, 2024. "Effort Provision and Incentivisation in Tullock Group-Contests with Many Groups: An Explicit Characterisation," FEEM Working Papers 343508, Fondazione Eni Enrico Mattei (FEEM).
    • Handle: RePEc:ags:feemwp:343508
    DOI: 10.22004/ag.econ.343508
    as

    Download full text from publisher

    File URL: https://ageconsearch.umn.edu/record/343508/files/NDL2024-11.pdf
    Download Restriction: no
    File URL: https://libkey.io/10.22004/ag.econ.343508?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
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Konrad, Kai A. & Kovenock, Dan, 2009. "The alliance formation puzzle and capacity constraints," Economics Letters, Elsevier, vol. 103(2), pages 84-86, May.
    2. Morris, Stephen & Shin, Hyun Song, 1998. "Unique Equilibrium in a Model of Self-Fulfilling Currency Attacks," American Economic Review, American Economic Association, vol. 88(3), pages 587-597, June.
    3. Carlsson, Hans & van Damme, Eric, 1993. "Global Games and Equilibrium Selection," Econometrica, Econometric Society, vol. 61(5), pages 989-1018, September.
    4. Nitzan, Shmuel, 1991. "Rent-Seeking with Non-identical Sharing Rules," Public Choice, Springer, vol. 71(1-2), pages 43-50, August.
    5. Lee, Sanghack, 1995. "Endogenous Sharing Rules in Collective-Group Rent-Seeking," Public Choice, Springer, vol. 85(1-2), pages 31-44, October.
    6. Shmuel Nitzan, 2008. "Collective Rent Dissipation," Springer Books, in: Roger D. Congleton & Arye L. Hillman & Kai A. Konrad (ed.), 40 Years of Research on Rent Seeking 1, pages 309-321, Springer.
    7. Bulow, Jeremy I & Geanakoplos, John D & Klemperer, Paul D, 1985. "Multimarket Oligopoly: Strategic Substitutes and Complements," Journal of Political Economy, University of Chicago Press, vol. 93(3), pages 488-511, June.
    8. Hwan Baik, Kyung & Lee, Sanghack, 1997. "Collective rent seeking with endogenous group sizes," European Journal of Political Economy, Elsevier, vol. 13(1), pages 121-130, February.
    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. Changxia Ke, 2011. "Fight Alone or Together? The Need to Belong," Working Papers fight_alone_or_together, Max Planck Institute for Tax Law and Public Finance.
    2. Konishi, Hideo & Pan, Chen-Yu, 2021. "Endogenous alliances in survival contests," Journal of Economic Behavior & Organization, Elsevier, vol. 189(C), pages 337-358.
    3. Ke, Changxia & Konrad, Kai A. & Morath, Florian, 2013. "Brothers in arms – An experiment on the alliance puzzle," Games and Economic Behavior, Elsevier, vol. 77(1), pages 61-76.
    4. Baik, Kyung Hwan & Dijkstra, Bouwe R. & Lee, Sanghack & Lee, Shi Young, 2006. "The equivalence of rent-seeking outcomes for competitive-share and strategic groups," European Journal of Political Economy, Elsevier, vol. 22(2), pages 337-342, June.
    5. Dijkstra, Bouwe R., 1998. "Cooperation by way of support in a rent seeking contest for a public good," European Journal of Political Economy, Elsevier, vol. 14(4), pages 703-725, November.
    6. Hausken, Kjell, 2000. "Migration and intergroup conflict," Economics Letters, Elsevier, vol. 69(3), pages 327-331, December.
    7. Gürtler, Oliver, 2005. "Rent seeking in sequential group contests," Bonn Econ Discussion Papers 2/2005, University of Bonn, Bonn Graduate School of Economics (BGSE).
    8. Dhritiman Gupta, 2020. "Prize Sharing Rules in Collective Contests: Towards Strategic Foundations," Discussion Papers 20-01, Indian Statistical Institute, Delhi.
    9. Lee, Sanghack & Hyeong Kang, J., 1998. "Collective contests with externalities," European Journal of Political Economy, Elsevier, vol. 14(4), pages 727-738, November.
    10. Hausken, Kjell, 1998. "Collective rent seeking and division of labor1," European Journal of Political Economy, Elsevier, vol. 14(4), pages 739-768, November.
    11. Stefano Barbieri & David Malueg & Iryna Topolyan, 2014. "The best-shot all-pay (group) auction with complete information," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 57(3), pages 603-640, November.
    12. Santiago Sánchez-Pagés, 2007. "Endogenous coalition formation in contests," Review of Economic Design, Springer;Society for Economic Design, vol. 11(2), pages 139-163, September.
    13. Dhritiman Gupta, 2020. "Prize sharing rules in collective contests: When does group size matter?," Discussion Papers 20-04, Indian Statistical Institute, Delhi.
    14. Hausken, Kjell, 2000. "Cooperation and between-group competition," Journal of Economic Behavior & Organization, Elsevier, vol. 42(3), pages 417-425, July.
    15. Hwan Baik, Kyung & Lee, Sanghack, 1997. "Collective rent seeking with endogenous group sizes," European Journal of Political Economy, Elsevier, vol. 13(1), pages 121-130, February.
    16. Hideo Konishi & Chen-Yu Pan & Dimitar Simeonov, 2023. "Formation of Teams in Contests: Tradeoffs Between Inter and Intra-Team Inequalities," Boston College Working Papers in Economics 1061, Boston College Department of Economics.
    17. Lee, Kyounghun & Oh, Frederick Dongchuhl, 2021. "Public information and global games with strategic complements and substitutes," Economics Letters, Elsevier, vol. 199(C).
    18. Roweno J. R. K. Heijmans, 2023. "Unraveling Coordination Problems," Papers 2307.08557, arXiv.org, revised Aug 2023.
    19. Pekka Sääskilahti, 2016. "Buying Decision Coordination and Monopoly Pricing of Network Goods," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 25(2), pages 313-333, April.
    20. Dhritiman Gupta, 2023. "Prize sharing rules in collective contests: when do social norms matter?," Review of Economic Design, Springer;Society for Economic Design, vol. 27(1), pages 221-244, February.

    More about this item

    Keywords

    Public Economics;

    JEL classification:

    • D74 - Microeconomics - - Analysis of Collective Decision-Making - - - Conflict; Conflict Resolution; Alliances; Revolutions
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

    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:ags:feemwp:343508. 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: AgEcon Search (email available below). General contact details of provider: https://edirc.repec.org/data/feemmit.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.