IDEAS home Printed from https://ideas.repec.org/a/eee/gamebe/v42y2003i1p137-155.html
   My bibliography  Save this article

The demand bargaining set: general characterization and application to majority games

Author

Listed:
  • Morelli, Massimo
  • Montero, Maria

Abstract

The cooperative solution concept introduced here, the demand bargaining set, contains the core and is included in the Zhou bargaining set, eliminating the “dominated” coalition structures. The demand vectors belonging to the demand bargaining set are self-stable. In the class of constant-sum homogeneous weighted majority games the demand bargaining set is non-empty and predicts a unique demand vector, namely a proportional distribution within minimal winning coalitions. The noncooperative implementation of the demand bargaining set is obtained for all the games that satisfy the one-stage property.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Morelli, Massimo & Montero, Maria, 2003. "The demand bargaining set: general characterization and application to majority games," Games and Economic Behavior, Elsevier, vol. 42(1), pages 137-155, January.
    • Handle: RePEc:eee:gamebe:v:42:y:2003:i:1:p:137-155
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0899-8256(02)00532-8
    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. Peter Sudhölter & Jos A. M. Potters, 2001. "The semireactive bargaining set of a cooperative game," International Journal of Game Theory, Springer;Game Theory Society, vol. 30(1), pages 117-139.
    2. Daniel Granot & Michael Maschler, 1997. "The Reactive Bargaining Set: Structure, Dynamics and Extension to NTU Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 26(1), pages 75-95.
    3. Perez-Castrillo, David & Wettstein, David, 2000. "Implementation of Bargaining Sets via Simple Mechanisms," Games and Economic Behavior, Elsevier, vol. 31(1), pages 106-120, April.
    4. John G. Cross, 1967. "Some theoretic characteristics of economic and political coalitions," Journal of Conflict Resolution, Peace Science Society (International), vol. 11(2), pages 184-195, June.
    5. Morelli, Massimo, 1999. "Demand Competition and Policy Compromise in Legislative Bargaining," American Political Science Review, Cambridge University Press, vol. 93(4), pages 809-820, December.
    6. Morelli, Massimo & Montero, Maria, 2003. "The demand bargaining set: general characterization and application to majority games," Games and Economic Behavior, Elsevier, vol. 42(1), pages 137-155, January.
    7. Massimo Morelli & Maria Montero, 2001. "The Stable Demand Set General Characterization and Application to Majority Games," Working Papers 01-03, Ohio State University, Department of Economics.
    8. Maschler, Michael, 1992. "The bargaining set, kernel, and nucleolus," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 18, pages 591-667, Elsevier.
    9. Warwick, Paul V. & Druckman, James N., 2001. "Portfolio Salience and the Proportionality of Payoffs in Coalition Governments," British Journal of Political Science, Cambridge University Press, vol. 31(4), pages 627-649, October.
    10. Zhou Lin, 1994. "A New Bargaining Set of an N-Person Game and Endogenous Coalition Formation," Games and Economic Behavior, Elsevier, vol. 6(3), pages 512-526, May.
    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. Montero, Maria & Vidal-Puga, Juan J., 2011. "Demand bargaining and proportional payoffs in majority games," Games and Economic Behavior, Elsevier, vol. 71(2), pages 395-408, March.
    2. Maria Montero & Alex Possajennikov, 2021. "An Adaptive Model of Demand Adjustment in Weighted Majority Games," Games, MDPI, vol. 13(1), pages 1-17, December.
    3. Debraj Ray & Rajiv Vohra, 2015. "The Farsighted Stable Set," Econometrica, Econometric Society, vol. 83(3), pages 977-1011, May.
    4. Morelli, Massimo & Montero, Maria, 2003. "The demand bargaining set: general characterization and application to majority games," Games and Economic Behavior, Elsevier, vol. 42(1), pages 137-155, January.
    5. Emiliya Lazarova & Peter Borm & Maria Montero & Hans Reijnierse, 2011. "A bargaining set for monotonic simple games based on external and internal stability," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 19(1), pages 54-66, July.
    6. Aaron Kamm & Simon Siegenthaler, 2024. "Commitment timing in coalitional bargaining," Experimental Economics, Springer;Economic Science Association, vol. 27(1), pages 130-154, March.
    7. Maleva, Tatiana Mikhailovna (Малева, Татьяна Михайловна) & Kirillova, M. K. (Кириллова, М. К.) & Mkrtchyan, Nikita (Мкртчян, Никита) & Florinskaya, Yulia (Флоринская, Юлия) & Lyashok, Victor (Ляшок, В, 2015. "A Comprehensive Study of Regional Labor Markets: The Structural Imbalances and the Behavior of Participants. Monitoring of Wages, the Experience of Reforming the System of Remuneration of Public Secto," Working Papers mak15n7, Russian Presidential Academy of National Economy and Public Administration, revised 01 Oct 2015.
    8. Joosung Lee, 2013. "Bargaining and Buyout," 2013 Papers ple701, Job Market Papers.
    9. Montero, Maria, 2002. "Non-cooperative bargaining in apex games and the kernel," Games and Economic Behavior, Elsevier, vol. 41(2), pages 309-321, November.
    10. Roberto Serrano, 2005. "Fifty years of the Nash program, 1953-2003," Investigaciones Economicas, Fundación SEPI, vol. 29(2), pages 219-258, May.
    11. Frechette, Guillaume & Kagel, John H. & Morelli, Massimo, 2005. "Nominal bargaining power, selection protocol, and discounting in legislative bargaining," Journal of Public Economics, Elsevier, vol. 89(8), pages 1497-1517, August.
    12. Emiliya Lazarova & Peter Borm & Bas Velzen, 2011. "Coalitional games and contracts based on individual deviations," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 19(2), pages 507-520, December.
    13. Montero, Maria & Vidal-Puga, Juan J., 2007. "Demand Commitment in Legislative Bargaining," American Political Science Review, Cambridge University Press, vol. 101(4), pages 847-850, November.
    14. Guillaume Fréchette & John H. Kagel & Massimo Morelli, 2005. "Behavioral Identification in Coalitional Bargaining: An Experimental Analysis of Demand Bargaining and Alternating Offers," Econometrica, Econometric Society, vol. 73(6), pages 1893-1937, November.
    15. Ahmet Alkan & Alparslan Tuncay, 2014. "Pairing Games and Markets," Working Papers 2014.48, Fondazione Eni Enrico Mattei.

    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. Montero, Maria, 2002. "Non-cooperative bargaining in apex games and the kernel," Games and Economic Behavior, Elsevier, vol. 41(2), pages 309-321, November.
    2. Montero, Maria & Vidal-Puga, Juan J., 2007. "Demand Commitment in Legislative Bargaining," American Political Science Review, Cambridge University Press, vol. 101(4), pages 847-850, November.
    3. Emiliya Lazarova & Peter Borm & Maria Montero & Hans Reijnierse, 2011. "A bargaining set for monotonic simple games based on external and internal stability," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 19(1), pages 54-66, July.
    4. Michel Le Breton & Karine Van Der Straeten, 2017. "Alliances Électorales et Gouvernementales : La Contribution de la Théorie des Jeux Coopératifs à la Science Politique," Revue d'économie politique, Dalloz, vol. 127(4), pages 637-736.
    5. Aaron Kamm & Simon Siegenthaler, 2024. "Commitment timing in coalitional bargaining," Experimental Economics, Springer;Economic Science Association, vol. 27(1), pages 130-154, March.
    6. Massimo Morelli & Maria Montero, 2001. "The Stable Demand Set General Characterization and Application to Majority Games," Working Papers 01-03, Ohio State University, Department of Economics.
    7. Serrano, Roberto & Vohra, Rajiv, 2002. "Bargaining and Bargaining Sets," Games and Economic Behavior, Elsevier, vol. 39(2), pages 292-308, May.
    8. Montero, Maria & Vidal-Puga, Juan J., 2011. "Demand bargaining and proportional payoffs in majority games," Games and Economic Behavior, Elsevier, vol. 71(2), pages 395-408, March.
    9. Sun, Ning & Trockel, Walter & Yang, Zaifu, 2008. "Competitive outcomes and endogenous coalition formation in an n-person game," Journal of Mathematical Economics, Elsevier, vol. 44(7-8), pages 853-860, July.
    10. Chessa, Michela & Hanaki, Nobuyuki & Lardon, Aymeric & Yamada, Takashi, 2023. "An experiment on the Nash program: A comparison of two strategic mechanisms implementing the Shapley value," Games and Economic Behavior, Elsevier, vol. 141(C), pages 88-104.
    11. Thomas Fujiwara & Carlos Sanz, 2017. "Norms in bargaining: evidence from government formation in Spain," Working Papers 1741, Banco de España.
    12. Josep Maria Izquierdo Aznar & Carlos Rafels Pallarola, 2002. "Coalitionally Monotonic Set-solutions for Cooperative TU Games," Working Papers in Economics 75, Universitat de Barcelona. Espai de Recerca en Economia.
    13. Josep M. Izquierdo & Carles Rafels, 2010. "On the coincidence between the Shimomuras bargaining sets and the core," Working Papers in Economics 241, Universitat de Barcelona. Espai de Recerca en Economia.
    14. Hu, Cheng-Cheng, 2007. "A noncooperative interpretation of the Aumann-Davis-Maschler bargaining set," Mathematical Social Sciences, Elsevier, vol. 54(3), pages 203-217, December.
    15. Florian M. Biermann, 2011. "A Measure to compare Matchings in Marriage Markets," Discussion Paper Series dp575, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
    16. Roberto Serrano & Rajiv Vohra, 2002. "Implementing the Mas-Colell bargaining set," Investigaciones Economicas, Fundación SEPI, vol. 26(2), pages 285-298, May.
    17. Nataliya Demyanenko & Pierfrancesco Mura, 2023. "Gamson–Shapley Laws: a formal approach to parliamentary coalition formation," Palgrave Communications, Palgrave Macmillan, vol. 10(1), pages 1-10, December.
    18. Elena Iñarra & Roberto Serrano & Ken-Ichi Shimomura, 2020. "The Nucleolus, the Kernel, and the Bargaining Set: An Update," Revue économique, Presses de Sciences-Po, vol. 71(2), pages 225-266.
    19. Kóczy Á., László, 2006. "A Neumann-féle játékelmélet [Neumanns game theory]," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(1), pages 31-45.
    20. Emiliya Lazarova & Peter Borm & Bas Velzen, 2011. "Coalitional games and contracts based on individual deviations," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 19(2), pages 507-520, December.

    More about this item

    JEL classification:

    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory

    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:42:y:2003:i:1:p:137-155. 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.