IDEAS home Printed from https://ideas.repec.org/p/kch/wpaper/sdes-2023-3.html
   My bibliography  Save this paper

Asymmetric majority pillage games

Author

Listed:
  • Manfred Kerber

    (University of Birmingham)

  • Colin Rowat

    (University of Birmingham)

  • Naoki Yoshihara

    (University of Massachusetts Amherst)

Abstract

We study pillage games (Jordan in J Econ Theory 131.1:26–44, 2006, “Pillage and property†), which model unstructured power contests. To enable empirical tests of pillage game theory, we relax a symmetry assumption that agents’ intrinsic contributions to a coalition’s power is identical. We characterise the core for all n. In the three-agent game: (i) only eight configurations are possible for the core, which contains at most six allocations; (ii) for each core configuration, the stable set is either unique or fails to exist; (iii) the linear power function creates a tension between a stable set’s existence and the interiority of its allocations, so that only special cases contain strictly interior allocations. Our analysis suggests that non-linear power functions may offer better empirical tests of pillage game theory.

Suggested Citation

  • Manfred Kerber & Colin Rowat & Naoki Yoshihara, 2023. "Asymmetric majority pillage games," Working Papers SDES-2023-3, Kochi University of Technology, School of Economics and Management, revised May 2023.
    • Handle: RePEc:kch:wpaper:sdes-2023-3
    as

    Download full text from publisher

    File URL: http://www.souken.kochi-tech.ac.jp/seido/wp/SDES-2023-3.pdf
    File Function: First version, 2023
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Manfred Kerber & Colin Rowat, 2011. "A Ramsey bound on stable sets in Jordan pillage games," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(3), pages 461-466, August.
    2. Thomas F. Hellmann & Noam Wasserman, 2011. "The First Deal: The Division of Founder Equity in New Ventures," NBER Working Papers 16922, National Bureau of Economic Research, Inc.
    3. Rowat, Colin & Kerber, Manfred, 2014. "Sufficient conditions for unique stable sets in three agent pillage games," Mathematical Social Sciences, Elsevier, vol. 69(C), pages 69-80.
    4. Beardon, Alan F. & Rowat, Colin, 2013. "Efficient sets are small," Journal of Mathematical Economics, Elsevier, vol. 49(5), pages 367-374.
    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. Rowat, Colin & Kerber, Manfred, 2014. "Sufficient conditions for unique stable sets in three agent pillage games," Mathematical Social Sciences, Elsevier, vol. 69(C), pages 69-80.
    2. Simon MacKenzie & Manfred Kerber & Colin Rowat, 2015. "Pillage games with multiple stable sets," International Journal of Game Theory, Springer;Game Theory Society, vol. 44(4), pages 993-1013, November.
    3. Ola Bengtsson & John R. M. Hand, 2013. "Employee Compensation in Entrepreneurial Companies," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 22(2), pages 312-340, June.
    4. Sabrina Artinger & Nir Vulkan & Yotam Shem-Tov, 2015. "Entrepreneurs’ negotiation behavior," Small Business Economics, Springer, vol. 44(4), pages 737-757, April.
    5. Bhaskara Rao Kopparty & Surekha K Rao, 2018. "Efficient Sets Are Very Small," Economics Bulletin, AccessEcon, vol. 38(4), pages 2060-2063.
    6. Manfred Kerber & Colin Rowat, 2009. "Stable Sets in Three Agent Pillage Games," Discussion Papers 09-07, Department of Economics, University of Birmingham.
    7. Breugst, Nicola & Patzelt, Holger & Rathgeber, Philipp, 2015. "How should we divide the pie? Equity distribution and its impact on entrepreneurial teams," Journal of Business Venturing, Elsevier, vol. 30(1), pages 66-94.
    8. Toshiji Miyakawa, 2017. "The farsighted core in a political game with asymmetric information," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 49(1), pages 205-229, June.
    9. Beardon, Alan F. & Rowat, Colin, 2013. "Efficient sets are small," Journal of Mathematical Economics, Elsevier, vol. 49(5), pages 367-374.
    10. Engel, Yuval & Kaandorp, Mariëtte & Elfring, Tom, 2017. "Toward a dynamic process model of entrepreneurial networking under uncertainty," Journal of Business Venturing, Elsevier, vol. 32(1), pages 35-51.

    More about this item

    Keywords

    power contests; core; stable sets;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
    • P14 - Political Economy and Comparative Economic Systems - - Capitalist Economies - - - Property Rights

    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:kch:wpaper:sdes-2023-3. 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: Sachiko Minami (email available below). General contact details of provider: https://edirc.repec.org/data/smkocjp.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.