IDEAS home Printed from https://ideas.repec.org/a/ebl/ecbull/eb-01aa0020.html
   My bibliography  Save this article

Calculus of Bargaining Solution on Boolean Tables

Author

Listed:
  • Joseph Mullat

    (Independent Researcher)

Abstract

This article reports an “acceptable calculus” of the bargaining problem solution as used by game theoreticians. By an acceptable calculus we understand an algorithm which can lead us to the result in an acceptable time either using the computing power of nowadays computers or a known classical model, like LaGrange method of function maximization with constraints. Our motive is quite difficult to meet, but we hope to move in this direction in order to close the gap at least for one nontrivial situation on Boolean tables.

Suggested Citation

  • Joseph Mullat, 2001. "Calculus of Bargaining Solution on Boolean Tables," Economics Bulletin, AccessEcon, vol. 28(15), pages 1.
    • Handle: RePEc:ebl:ecbull:eb-01aa0020
    as

    Download full text from publisher

    File URL: http://www.accessecon.com/pubs/EB/2001/Volume28/EB-01AA0020A.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Joseph Mullat, 2001. "Stable Coalitions in Monotonic Games," Game Theory and Information 0112003, University Library of Munich, Germany, revised 13 Sep 2005.
    2. Barbera Salvador & Gul Faruk & Stacchetti Ennio, 1993. "Generalized Median Voter Schemes and Committees," Journal of Economic Theory, Elsevier, vol. 61(2), pages 262-289, December.
    3. Kalai, Ehud & Smorodinsky, Meir, 1975. "Other Solutions to Nash's Bargaining Problem," Econometrica, Econometric Society, vol. 43(3), pages 513-518, May.
    4. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
    5. Satterthwaite, Mark Allen, 1975. "Strategy-proofness and Arrow's conditions: Existence and correspondence theorems for voting procedures and social welfare functions," Journal of Economic Theory, Elsevier, vol. 10(2), pages 187-217, April.
    6. Gibbard, Allan, 1973. "Manipulation of Voting Schemes: A General Result," Econometrica, Econometric Society, vol. 41(4), pages 587-601, July.
    7. Alexander Genkin & Ilya Muchnik, 1993. "Fixed points approach to clustering," Journal of Classification, Springer;The Classification Society, vol. 10(2), pages 219-240, December.
    8. Mullat J. E., 1996. "A fast algorithm for finding matching responses in a survey data table," Mathematical Social Sciences, Elsevier, vol. 31(1), pages 61-61, February.
    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. Joseph Mullat, 2001. "Three Union Regulations for Environment Protection Agency: A Game with 12 bank notes," Game Theory and Information 0112006, University Library of Munich, Germany, revised 27 Aug 2005.

    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. Arzu Kıbrıs & Özgür Kıbrıs & Mehmet Yiğit Gürdal, 2022. "Protectionist demands in globalization," Review of Economic Design, Springer;Society for Economic Design, vol. 26(3), pages 345-365, September.
    2. Kotaro Suzumura, 2002. "Introduction to social choice and welfare," Temi di discussione (Economic working papers) 442, Bank of Italy, Economic Research and International Relations Area.
    3. Jinbaek Kim, 2008. "A model and case for supporting participatory public decision making in e-democracy," Group Decision and Negotiation, Springer, vol. 17(3), pages 179-193, May.
    4. Kentaro Hatsumi & Dolors Berga & Shigehiro Serizawa, 2014. "A maximal domain for strategy-proof and no-vetoer rules in the multi-object choice model," International Journal of Game Theory, Springer;Game Theory Society, vol. 43(1), pages 153-168, February.
    5. Michel Breton & Vera Zaporozhets, 2009. "On the equivalence of coalitional and individual strategy-proofness properties," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 33(2), pages 287-309, August.
    6. Salvador Barberà & Dolors Berga & Bernardo Moreno, 2020. "Arrow on domain conditions: a fruitful road to travel," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 54(2), pages 237-258, March.
    7. Chatterji, Shurojit & Zeng, Huaxia, 2018. "On random social choice functions with the tops-only property," Games and Economic Behavior, Elsevier, vol. 109(C), pages 413-435.
    8. Chatterji, Shurojit & Zeng, Huaxia, 2023. "A taxonomy of non-dictatorial unidimensional domains," Games and Economic Behavior, Elsevier, vol. 137(C), pages 228-269.
    9. Bossert, Walter & Sprumont, Yves, 2014. "Strategy-proof preference aggregation: Possibilities and characterizations," Games and Economic Behavior, Elsevier, vol. 85(C), pages 109-126.
    10. Alcalde-Unzu, Jorge & Vorsatz, Marc, 2018. "Strategy-proof location of public facilities," Games and Economic Behavior, Elsevier, vol. 112(C), pages 21-48.
    11. Bednay, Dezső & Moskalenko, Anna & Tasnádi, Attila, 2019. "Dictatorship versus manipulability," Mathematical Social Sciences, Elsevier, vol. 101(C), pages 72-76.
    12. Barbera, S. & Masso, J. & Serizawa, S., 1998. "Strategy-Proof Voting on Compact Ranges," Games and Economic Behavior, Elsevier, vol. 25(2), pages 272-291, November.
    13. Chatterji, Shurojit & Sanver, Remzi & Sen, Arunava, 2013. "On domains that admit well-behaved strategy-proof social choice functions," Journal of Economic Theory, Elsevier, vol. 148(3), pages 1050-1073.
    14. BOSSERT, Walter & WEYMARK, J.A., 2006. "Social Choice: Recent Developments," Cahiers de recherche 01-2006, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    15. Tayfun Sönmez, 1994. "Strategy-proofness in many-to-one matching problems," Review of Economic Design, Springer;Society for Economic Design, vol. 1(1), pages 365-380, December.
    16. Mishra, Debasis & Roy, Souvik, 2012. "Strategy-proof partitioning," Games and Economic Behavior, Elsevier, vol. 76(1), pages 285-300.
    17. Tobias Rachidi, 2020. "Optimal Voting Mechanisms on Generalized Single-Peaked Domains," CRC TR 224 Discussion Paper Series crctr224_2020_214, University of Bonn and University of Mannheim, Germany.
    18. Sumit Goel & Wade Hann-Caruthers, 2023. "Optimality of the coordinate-wise median mechanism for strategyproof facility location in two dimensions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 61(1), pages 11-34, July.
    19. Mizukami, Hideki & Wakayama, Takuma, 2020. "Dominant strategy implementation of bargaining solutions," Mathematical Social Sciences, Elsevier, vol. 104(C), pages 60-67.
    20. Steven J. Brams & D. Marc Kilgour, 2001. "Fallback Bargaining," Group Decision and Negotiation, Springer, vol. 10(4), pages 287-316, July.

    More about this item

    JEL classification:

    • C0 - Mathematical and Quantitative Methods - - General
    • 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:ebl:ecbull:eb-01aa0020. 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: John P. Conley (email available below). General contact details of provider: .

    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.