IDEAS home Printed from https://ideas.repec.org/a/eee/gamebe/v53y2005i1p73-82.html
   My bibliography  Save this article

Values for cooperative games with incomplete information: An eloquent example

Author

Listed:
  • de Clippel, Geoffroy

Abstract

Myerson's (1984) extension of the lambda-transfer value to cooperative games with incomplete information focus among other things on the strength of the incentive constraints at the solution for determining the power of coalitions. We construct an intuitive three-player game where the player whose only contribution is to partly release the two other players from the incentive constraints they face when they cooperate, receives a zero payoff, according to Myerson's solution. On the contrary, the random order arrival procedure attributes a strictly positive payoff to him. Our example is thus an analog of the banker game of Owen (1972) that was designed for evaluating the lambda-transfer value under complete information. Asymmetric information now takes up the role that was formerly attributed to the lack of transferability of utilities.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • de Clippel, Geoffroy, 2005. "Values for cooperative games with incomplete information: An eloquent example," Games and Economic Behavior, Elsevier, vol. 53(1), pages 73-82, October.
    • Handle: RePEc:eee:gamebe:v:53:y:2005:i:1:p:73-82
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0899-8256(04)00133-2
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    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. Myerson, Roger B, 1983. "Mechanism Design by an Informed Principal," Econometrica, Econometric Society, vol. 51(6), pages 1767-1797, November.
    2. Myerson, Roger B, 1984. "Two-Person Bargaining Problems with Incomplete Information," Econometrica, Econometric Society, vol. 52(2), pages 461-487, March.
    3. Forges, Francoise & Minelli, Enrico & Vohra, Rajiv, 2002. "Incentives and the core of an exchange economy: a survey," Journal of Mathematical Economics, Elsevier, vol. 38(1-2), pages 1-41, September.
    4. Myerson, Roger B, 1979. "Incentive Compatibility and the Bargaining Problem," Econometrica, Econometric Society, vol. 47(1), pages 61-73, January.
    5. Aumann, Robert J, 1985. "An Axiomatization of the Non-transferable Utility Value," Econometrica, Econometric Society, vol. 53(3), pages 599-612, May.
    6. Stefan Krasa & Nicholas C. Yannelis, 2005. "The value allocation of an economy with differential information," Studies in Economic Theory, in: Dionysius Glycopantis & Nicholas C. Yannelis (ed.), Differential Information Economies, pages 507-526, Springer.
    7. Maschler, M & Owen, G, 1989. "The Consistent Shapley Value for Hyperplane Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 18(4), pages 389-407.
    8. Hart, Sergiu & Mas-Colell, Andreu, 1996. "Bargaining and Value," Econometrica, Econometric Society, vol. 64(2), pages 357-380, March.
    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. Françoise Forges & Roberto Serrano, 2013. "Cooperative Games With Incomplete Information: Some Open Problems," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 15(02), pages 1-17.
    2. Andrés Salamanca, 2019. "A Comparison of NTU Values in a Cooperative Game with Incomplete Information," The Journal of Mechanism and Institution Design, Society for the Promotion of Mechanism and Institution Design, University of York, vol. 4(1), pages 109-117, November.
    3. Andrés Salamanca, 2020. "A generalization of the Harsanyi NTU value to games with incomplete information," International Journal of Game Theory, Springer;Game Theory Society, vol. 49(1), pages 195-225, March.
    4. Geoffroy de Clippel, 2010. "Copmment on Egalitarianism under Incomplete Information," Working Papers 2010-4, Brown University, Department of 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. repec:dau:papers:123456789/8158 is not listed on IDEAS
    7. Kim, Jin Yeub, 2017. "Interim third-party selection in bargaining," Games and Economic Behavior, Elsevier, vol. 102(C), pages 645-665.

    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. Salamanca, Andrés, 2020. "On the values of Bayesian cooperative games with sidepayments," Mathematical Social Sciences, Elsevier, vol. 108(C), pages 38-49.
    2. Françoise Forges & Roberto Serrano, 2013. "Cooperative Games With Incomplete Information: Some Open Problems," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 15(02), pages 1-17.
    3. repec:dau:papers:123456789/8158 is not listed on IDEAS
    4. Andrés Salamanca, 2020. "A generalization of the Harsanyi NTU value to games with incomplete information," International Journal of Game Theory, Springer;Game Theory Society, vol. 49(1), pages 195-225, March.
    5. Eric van Damme & Xu Lang, 2022. "Two-Person Bargaining when the Disagreement Point is Private Information," Papers 2211.06830, arXiv.org, revised Jan 2024.
    6. Myerson, Roger B., 2007. "Virtual utility and the core for games with incomplete information," Journal of Economic Theory, Elsevier, vol. 136(1), pages 260-285, September.
    7. Gustavo Bergantiños & Juan Vidal-Puga, 2003. "The NTU consistent coalitional value," Game Theory and Information 0303007, University Library of Munich, Germany.
    8. Gustavo Bergantiños & Juan Vidal-Puga, 2005. "The Consistent Coalitional Value," Mathematics of Operations Research, INFORMS, vol. 30(4), pages 832-851, November.
    9. de Clippel, Geoffroy & Minelli, Enrico, 2004. "Two-person bargaining with verifiable information," Journal of Mathematical Economics, Elsevier, vol. 40(7), pages 799-813, November.
    10. Geoffroy de Clippel & Jack Fanning & Kareen Rozen, 2022. "Bargaining over Contingent Contracts under Incomplete Information," American Economic Review, American Economic Association, vol. 112(5), pages 1522-1554, May.
    11. Emililo Calvo, 2004. "Single NTU-value solutions," Game Theory and Information 0405004, University Library of Munich, Germany, revised 10 Jun 2004.
    12. 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.
    13. Okada, Akira, 2016. "A non-cooperative bargaining theory with incomplete information: Verifiable types," Journal of Economic Theory, Elsevier, vol. 163(C), pages 318-341.
    14. Geoffroy de Clippel, 2010. "Copmment on Egalitarianism under Incomplete Information," Working Papers 2010-4, Brown University, Department of Economics.
    15. Bergantinos, G. & Casas-Mendez, B. & Fiestras-Janeiro, M.G. & Vidal-Puga, J.J., 2007. "A solution for bargaining problems with coalition structure," Mathematical Social Sciences, Elsevier, vol. 54(1), pages 35-58, July.
    16. Gustavo Bergantiños & Balbina Casas- Méndez & Gloria Fiestras- Janeiro & Juan Vidal-Puga, 2005. "A Focal-Point Solution for Bargaining Problems with Coalition Structure," Game Theory and Information 0511006, University Library of Munich, Germany.
    17. Laruelle, Annick & Valenciano, Federico, 2007. "Bargaining in committees as an extension of Nash's bargaining theory," Journal of Economic Theory, Elsevier, vol. 132(1), pages 291-305, January.
    18. Garcia, René, 1986. "La théorie économique de l’information : exposé synthétique de la littérature," L'Actualité Economique, Société Canadienne de Science Economique, vol. 62(1), pages 88-109, mars.
    19. Roger B. Myerson, 1984. "An Introduction to Game Theory," Discussion Papers 623, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    20. 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.
    21. Kim, Jin Yeub, 2017. "Interim third-party selection in bargaining," Games and Economic Behavior, Elsevier, vol. 102(C), pages 645-665.

    More about this item

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

    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:53:y:2005:i:1:p:73-82. 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.