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Calculus of Bargaining Solution on Boolean Tables

Author

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  • Joseph E. Mullat

    (assoc. Prof., Economic Division, Tallinn Technical University, 1979 – 1980)

Abstract

This article reports not only theoretical solution of bargaining problem as used by game theoreticians but also an adequate calculus. By adequate calculus we understand an algorithm that can lead us to the result within reasonable timetable using either the computing power of nowadays computers or widely accepted classical Hamiltonian 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 E. Mullat, 2001. "Calculus of Bargaining Solution on Boolean Tables," Game Theory and Information 0112005, University Library of Munich, Germany, revised 27 Aug 2003.
    • Handle: RePEc:wpa:wuwpga:0112005
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    File URL: https://econwpa.ub.uni-muenchen.de/econ-wp/game/papers/0112/0112005.pdf
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    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. Kalai, Ehud & Smorodinsky, Meir, 1975. "Other Solutions to Nash's Bargaining Problem," Econometrica, Econometric Society, vol. 43(3), pages 513-518, May.
    3. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
    4. 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.
    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. Alexander Genkin & Ilya Muchnik, 1993. "Fixed points approach to clustering," Journal of Classification, Springer;The Classification Society, vol. 10(2), pages 219-240, December.
    7. 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.
    8. Gibbard, Allan, 1973. "Manipulation of Voting Schemes: A General Result," Econometrica, Econometric Society, vol. 41(4), pages 587-601, July.
    Full references (including those not matched with items on IDEAS)

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    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.

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    More about this item

    Keywords

    game; bargaining; algorithm;
    All these keywords.

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory

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