IDEAS home Printed from https://ideas.repec.org/a/sae/jocore/v24y1980i3p495-523.html
   My bibliography  Save this article

Nonsymmetry and Core Size in N-Person Sidepayment Games

Author

Listed:
  • H. Andrew Michener

    (Department of Sociology University of Wisconsin—Madison)

  • Kenneth Yuen

    (Department of Sociology University of Wisconsin—Madison)

  • Stephen B. Geisheker

    (Department of Sociology University of Wisconsin—Madison)

Abstract

This article presents a procedure for indexing n-person cooperative games in terms of degree of nonsymmetry. This ordinal-level index is limited to sidepayment games, but applies generally to games of three or more players. To validate the index, a laboratory experiment was conducted with four-person games differing in degree of nonsymmetry and in core size. The results show that, while core size had no significant effects, the players' payoffs varied significantly as a function of nonsymmetry. Strong players received increasingly more and weak players received increasingly less as nonsymmetry increased. Tests for goodness of fit of several prominent solution concepts show that, across experimental treatments, the Shapley value predicts better than other solutions. Shapley is followed in order by the disruption nucleolus, the nucleolus, and finally the equality solution. These tests also show that all of the theories decline in predictive accuracy as the degree of nonsymmetry increases. Reasons for this trend are discussed in terms of predictive patterns and payoff variances.

Suggested Citation

  • H. Andrew Michener & Kenneth Yuen & Stephen B. Geisheker, 1980. "Nonsymmetry and Core Size in N-Person Sidepayment Games," Journal of Conflict Resolution, Peace Science Society (International), vol. 24(3), pages 495-523, September.
  • Handle: RePEc:sae:jocore:v:24:y:1980:i:3:p:495-523
    DOI: 10.1177/002200278002400306
    as

    Download full text from publisher

    File URL: https://journals.sagepub.com/doi/10.1177/002200278002400306
    Download Restriction: no

    File URL: https://libkey.io/10.1177/002200278002400306?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
    ---><---

    References listed on IDEAS

    as
    1. Gately, Dermot, 1974. "Sharing the Gains from Regional Cooperation: A Game Theoretic Application to Planning Investment in Electric Power," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 15(1), pages 195-208, February.
    2. SCHMEIDLER, David, 1969. "The nucleolus of a characteristic function game," LIDAM Reprints CORE 44, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    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. Sexton, Richard J., 1991. "Game Theory: A Review With Applications To Vertical Control In Agricultural Markets," Working Papers 225865, University of California, Davis, Department of Agricultural and Resource Economics.
    2. Krus, Lech & Bronisz, Piotr, 2000. "Cooperative game solution concepts to a cost allocation problem," European Journal of Operational Research, Elsevier, vol. 122(2), pages 258-271, April.
    3. Massol, Olivier & Tchung-Ming, Stéphane, 2010. "Cooperation among liquefied natural gas suppliers: Is rationalization the sole objective?," Energy Economics, Elsevier, vol. 32(4), pages 933-947, July.
    4. Churkin, Andrey & Bialek, Janusz & Pozo, David & Sauma, Enzo & Korgin, Nikolay, 2021. "Review of Cooperative Game Theory applications in power system expansion planning," Renewable and Sustainable Energy Reviews, Elsevier, vol. 145(C).
    5. H. Andrew Michener & Mark S. Salzer & Greg D. Richardson, 1989. "Extensions of Value Solutions in Constant-Sum Non-Sidepayment Games," Journal of Conflict Resolution, Peace Science Society (International), vol. 33(3), pages 530-553, September.
    6. Robert P. Gilles & Lina Mallozzi, 2022. "Gately Values of Cooperative Games," Papers 2208.10189, arXiv.org, revised Jul 2023.
    7. Christoph Weissbart, 2018. "Decarbonization of Power Markets under Stability and Fairness: Do They Influence Efficiency?," ifo Working Paper Series 270, ifo Institute - Leibniz Institute for Economic Research at the University of Munich.
    8. Sandler, Todd & Tschirhart, John T, 1980. "The Economic Theory of Clubs: An Evaluative Survey," Journal of Economic Literature, American Economic Association, vol. 18(4), pages 1481-1521, December.
    9. Olivier Massol & Stéphane Tchung-Ming, 2009. "Stratégies coopératives dans l'industrie du GNL : l'argument de la rationalisation est-il fondé ?," Working Papers hal-02469480, HAL.
    10. Stefan Engevall & Maud Göthe-Lundgren & Peter Värbrand, 2004. "The Heterogeneous Vehicle-Routing Game," Transportation Science, INFORMS, vol. 38(1), pages 71-85, February.
    11. Dávid Csercsik & László Á. Kóczy, 2017. "Efficiency and Stability in Electrical Power Transmission Networks: a Partition Function Form Approach," Networks and Spatial Economics, Springer, vol. 17(4), pages 1161-1184, December.
    12. Mario Guajardo & Kurt Jörnsten & Mikael Rönnqvist, 2016. "Constructive and blocking power in collaborative transportation," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 38(1), pages 25-50, January.
    13. Gianfranco Gambarelli, 1999. "Maximax Apportionments," Group Decision and Negotiation, Springer, vol. 8(6), pages 441-461, November.
    14. H. Andrew Michener & Daniel J. Myers, 1998. "Probabilistic Coalition Structure Theories," Journal of Conflict Resolution, Peace Science Society (International), vol. 42(6), pages 830-860, December.
    15. Gonzalez, Stéphane & Rostom, Fatma Zahra, 2022. "Sharing the global outcomes of finite natural resource exploitation: A dynamic coalitional stability perspective," Mathematical Social Sciences, Elsevier, vol. 119(C), pages 1-10.
    16. Camelia Bejan & Juan Gómez, 2012. "Axiomatizing core extensions," International Journal of Game Theory, Springer;Game Theory Society, vol. 41(4), pages 885-898, November.
    17. Zaporozhets, Vera & García-Valiñas, María & Kurz, Sascha, 2016. "Key drivers of EU budget allocation: Does power matter?," European Journal of Political Economy, Elsevier, vol. 43(C), pages 57-70.
    18. Maria Montero & Alex Possajennikov, 2021. "An Adaptive Model of Demand Adjustment in Weighted Majority Games," Games, MDPI, vol. 13(1), pages 1-17, December.
    19. Brânzei, R. & Tijs, S.H., 2001. "Additivity Regions for Solutions in Cooperative Game Theory," Discussion Paper 2001-81, Tilburg University, Center for Economic Research.
    20. Gerichhausen, M. & Berkhout, E.D. & Hamers, H.J.M. & Manyong, V.M., 2008. "A Game Theoretic Approach to Analyse Cooperation between Rural Households in Northern Nigeria," Discussion Paper 2008-62, Tilburg University, Center for Economic Research.

    More about this item

    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:sae:jocore:v:24:y:1980:i:3:p:495-523. 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: SAGE Publications (email available below). General contact details of provider: http://pss.la.psu.edu/ .

    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.