IDEAS home Printed from https://ideas.repec.org/a/sae/jocore/v33y1989i3p530-553.html
   My bibliography  Save this article

Extensions of Value Solutions in Constant-Sum Non-Sidepayment Games

Author

Listed:
  • H. Andrew Michener
  • Mark S. Salzer
  • Greg D. Richardson

    (University of Wisconsin-Madison)

Abstract

This article defines two new solution concepts for non-sidepayment games - the λ-transfer nucleolus and the λ-transfer disruption value - and reports the results of an experiment testing their predictive accuracy against that of a third solution concept, the well-known λ-transfer value (Shapley, 1969). The test was based on data from a laboratory experiment utilizing five-person, two-choice games that were constant-sum in normal form. Goodness-of-fit results show that the λ-transfer value and the λ-transfer disruption value were about equally accurate in predicting the observed payoffs to players in these games; both of these solutions were more accurate than the λ-transfer nucleolus.

Suggested Citation

  • 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.
  • Handle: RePEc:sae:jocore:v:33:y:1989:i:3:p:530-553
    DOI: 10.1177/0022002789033003008
    as

    Download full text from publisher

    File URL: https://journals.sagepub.com/doi/10.1177/0022002789033003008
    Download Restriction: no

    File URL: https://libkey.io/10.1177/0022002789033003008?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).
    3. Michener, H. A. & Potter, K. & Depies, C. G. & Macheel, G. B., 1984. "A test of the core solution in finite strategy non-sidepayment games," Mathematical Social Sciences, Elsevier, vol. 8(2), pages 141-168, October.
    4. Champsaur, Paul, 1975. "Cooperation versus competition," Journal of Economic Theory, Elsevier, vol. 11(3), pages 394-417, December.
    5. Roth, Alvin E, 1980. "Values for Games without Sidepayments: Some Difficulties with Current Concepts," Econometrica, Econometric Society, vol. 48(2), pages 457-465, March.
    6. Aumann, Robert J, 1985. "An Axiomatization of the Non-transferable Utility Value," Econometrica, Econometric Society, vol. 53(3), pages 599-612, May.
    7. Andrew Michener, H. & Choi, Young C. & Dettman, David C., 1986. "Stability by deterrence in cooperative non-sidepayment n-person games," Journal of Economic Behavior & Organization, Elsevier, vol. 7(4), pages 375-402, December.
    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. Roger A McCain, 2013. "Value Solutions in Cooperative Games," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 8528, August.

    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. Rebelo, S., 1997. "On the Determinant of Economic Growth," RCER Working Papers 443, University of Rochester - Center for Economic Research (RCER).
    2. Camelia Bejan & Juan Gómez, 2012. "Axiomatizing core extensions," International Journal of Game Theory, Springer;Game Theory Society, vol. 41(4), pages 885-898, November.
    3. Dietzenbacher, Bas & Yanovskaya, Elena, 2023. "The equal split-off set for NTU-games," Mathematical Social Sciences, Elsevier, vol. 121(C), pages 61-67.
    4. 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.
    5. Salamanca, Andrés, 2020. "On the values of Bayesian cooperative games with sidepayments," Mathematical Social Sciences, Elsevier, vol. 108(C), pages 38-49.
    6. Roger A McCain, 2013. "Value Solutions in Cooperative Games," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 8528, August.
    7. Guni Orshan & Federico Valenciano & José M. Zarzuelo, 2003. "The Bilateral Consistent Prekernel, the Core, and NTU Bankruptcy Problems," Mathematics of Operations Research, INFORMS, vol. 28(2), pages 268-282, May.
    8. 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.
    9. 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.
    10. 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.
    11. Perez-Castrillo, David & Wettstein, David, 2006. "An ordinal Shapley value for economic environments," Journal of Economic Theory, Elsevier, vol. 127(1), pages 296-308, March.
    12. Hart, Sergiu, 1985. "An Axiomatization of Harsanyi's Nontransferable Utility Solution," Econometrica, Econometric Society, vol. 53(6), pages 1295-1313, November.
    13. 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).
    14. Alvin E. Roth & Robert B. Wilson, 2019. "How Market Design Emerged from Game Theory: A Mutual Interview," Journal of Economic Perspectives, American Economic Association, vol. 33(3), pages 118-143, Summer.
    15. Elon Kohlberg & Abraham Neyman, 2015. "The Cooperative Solution of Stochastic Games," Discussion Paper Series dp679, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
    16. Roger B. Myerson, 1990. "Fictitious-Transfers in Cooperative Game Theory," Discussion Papers 907, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    17. Roger B. Myerson, 1984. "An Introduction to Game Theory," Discussion Papers 623, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    18. Robert P. Gilles & Lina Mallozzi, 2022. "Gately Values of Cooperative Games," Papers 2208.10189, arXiv.org, revised Jul 2023.
    19. Vidal-Puga, Juan J., 2008. "Forming coalitions and the Shapley NTU value," European Journal of Operational Research, Elsevier, vol. 190(3), pages 659-671, November.
    20. 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.

    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:33:y:1989:i:3:p:530-553. 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.