IDEAS home Printed from https://ideas.repec.org/p/hal/wpaper/hal-01579898.html
   My bibliography  Save this paper

A Generalization of the Harsanyi NTU Value to Games with Incomplete Information

Author

Listed:
  • Andrés Salamanca

    (SDU - University of Southern Denmark)

Abstract

In this paper, we introduce a solution concept generalizing the Harsanyi non-transferable utility (NTU) value to cooperative games with incomplete information. The so-defined H-solution is characterized by virtual utility scales that extend the Harsanyi-Shapley fictitious weighted-utility transfer procedure. We construct a three-player cooperative game in which Myerson's [Cooperative games with incomplete information. Int. J. Game Theory, 13, 1984, pp. 69-96] generalization of the Shapley NTU value does not capture some "negative" externality generated by the adverse selection. However, when we explicitly compute the H-solution in this game, it turns out that it prescribes a more intuitive outcome taking into account the informational externality mentioned above.

Suggested Citation

  • Andrés Salamanca, 2016. "A Generalization of the Harsanyi NTU Value to Games with Incomplete Information," Working Papers hal-01579898, HAL.
    • Handle: RePEc:hal:wpaper:hal-01579898
    Note: View the original document on HAL open archive server: https://hal.science/hal-01579898v2
    as

    Download full text from publisher

    File URL: https://hal.science/hal-01579898v2/document
    Download Restriction: no
    ---><---

    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. H. Imai, 1983. "On Harsanyi's solution," International Journal of Game Theory, Springer;Game Theory Society, vol. 12(3), pages 161-179, September.
    3. Hart, Sergiu, 1985. "An Axiomatization of Harsanyi's Nontransferable Utility Solution," Econometrica, Econometric Society, vol. 53(6), pages 1295-1313, November.
    4. Holmstrom, Bengt & Myerson, Roger B, 1983. "Efficient and Durable Decision Rules with Incomplete Information," Econometrica, Econometric Society, vol. 51(6), pages 1799-1819, November.
    5. Sergiu Hart, 2004. "A comparison of non-transferable utility values," Theory and Decision, Springer, vol. 56(1), pages 35-46, April.
    6. 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.
    7. Kalai, Ehud & Samet, Dov, 1985. "Monotonic Solutions to General Cooperative Games," Econometrica, Econometric Society, vol. 53(2), pages 307-327, March.
    8. 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.
    9. 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.
    10. Hart, Sergiu & Mas-Colell, Andreu, 1996. "Bargaining and Value," Econometrica, Econometric Society, vol. 64(2), pages 357-380, March.
    11. Myerson, Roger B, 1984. "Two-Person Bargaining Problems with Incomplete Information," Econometrica, Econometric Society, vol. 52(2), pages 461-487, March.
    12. 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.
    13. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
    14. Hart, Sergiu, 1985. "Nontransferable Utility Games and Markets: Some Examples and the Harsanyi Solution," Econometrica, Econometric Society, vol. 53(6), pages 1445-1450, November.
    15. Roth, Alvin E, 1980. "Values for Games without Sidepayments: Some Difficulties with Current Concepts," Econometrica, Econometric Society, vol. 48(2), pages 457-465, March.
    16. repec:dau:papers:123456789/8158 is not listed on IDEAS
    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. Salamanca, Andrés, 2020. "On the values of Bayesian cooperative games with sidepayments," Mathematical Social Sciences, Elsevier, vol. 108(C), pages 38-49.
    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. Andrew J. Collins & Sheida Etemadidavan & Wael Khallouli, 2020. "Generating Empirical Core Size Distributions of Hedonic Games using a Monte Carlo Method," Papers 2007.12127, arXiv.org.

    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. Dietzenbacher, Bas & Yanovskaya, Elena, 2023. "The equal split-off set for NTU-games," Mathematical Social Sciences, Elsevier, vol. 121(C), pages 61-67.
    4. repec:dau:papers:123456789/8158 is not listed on IDEAS
    5. Rebelo, S., 1997. "On the Determinant of Economic Growth," RCER Working Papers 443, University of Rochester - Center for Economic Research (RCER).
    6. Kamishiro, Yusuke & Vohra, Rajiv & Serrano, Roberto, 2023. "Signaling, screening, and core stability," Journal of Economic Theory, Elsevier, vol. 213(C).
    7. Geoffroy de Clippel, 2010. "Copmment on Egalitarianism under Incomplete Information," Working Papers 2010-4, Brown University, Department of Economics.
    8. Roger B. Myerson, 1984. "An Introduction to Game Theory," Discussion Papers 623, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    9. Kim, Jin Yeub, 2017. "Interim third-party selection in bargaining," Games and Economic Behavior, Elsevier, vol. 102(C), pages 645-665.
    10. Eric van Damme & Xu Lang, 2022. "Two-Person Bargaining when the Disagreement Point is Private Information," Papers 2211.06830, arXiv.org, revised Jan 2024.
    11. Dietzenbacher, Bas & Borm, Peter & Hendrickx, Ruud, 2017. "Egalitarianism in Nontransferable Utility Games," Other publications TiSEM b1bf227f-53df-4fad-93b8-8, Tilburg University, School of Economics and Management.
    12. Akira Okada, 2015. "Cooperation and Institution in Games," The Japanese Economic Review, Japanese Economic Association, vol. 66(1), pages 1-32, March.
    13. 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.
    14. 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.
    15. Serrano, Roberto & Vohra, Rajiv, 2007. "Information transmission in coalitional voting games," Journal of Economic Theory, Elsevier, vol. 134(1), pages 117-137, May.
    16. 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.
    17. Roger B. Myerson, 1985. "Negotiation in Games: A Theoretical Overview," Discussion Papers 658, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    18. 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.
    19. 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.
    20. 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.
    21. 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.

    More about this item

    Keywords

    incomplete information; virtual utility; Cooperative games;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

    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:hal:wpaper:hal-01579898. 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: CCSD (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    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.