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Hypercubes and Compromise Values for Cooperative Fuzzy Games

Author

Listed:
  • Brânzei, R.

    (Tilburg University, Center For Economic Research)

  • Dimitrov, D.A.

    (Tilburg University, Center For Economic Research)

  • Tijs, S.H.

    (Tilburg University, Center For Economic Research)

Abstract

AMS classification: 90D12; 03E72;

Suggested Citation

  • Brânzei, R. & Dimitrov, D.A. & Tijs, S.H., 2002. "Hypercubes and Compromise Values for Cooperative Fuzzy Games," Discussion Paper 2002-14, Tilburg University, Center for Economic Research.
  • Handle: RePEc:tiu:tiucen:8633fb45-08eb-48e3-80d5-e3dae2c305d4
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    References listed on IDEAS

    as
    1. Tijs, S.H. & Otten, G.J.M., 1993. "Compromise values in cooperative game theory," Research Memorandum FEW 615, Tilburg University, School of Economics and Management.
    2. Driessen, T.S.H. & Tijs, S.H., 1985. "The t-value, the core and semiconvex games," Other publications TiSEM 016b6b5d-a476-44ca-bd05-7, Tilburg University, School of Economics and Management.
    3. Tsurumi, Masayo & Tanino, Tetsuzo & Inuiguchi, Masahiro, 2001. "A Shapley function on a class of cooperative fuzzy games," European Journal of Operational Research, Elsevier, vol. 129(3), pages 596-618, March.
    4. Brânzei, R. & Dimitrov, D.A. & Tijs, S.H., 2002. "Convex Fuzzy Games and Participation Monotonic Allocation Schemes," Discussion Paper 2002-13, Tilburg University, Center for Economic Research.
    5. Tijs, S.H., 1987. "An axiomatization of the ô-value," Other publications TiSEM 5536ac66-86f3-49fb-9e7d-2, Tilburg University, School of Economics and Management.
    6. Tijs, S.H. & Lipperts, F.A.S., 1982. "The hypercube and the core cover of N-person cooperative games," Other publications TiSEM f86cf523-f36d-4652-b774-6, Tilburg University, School of Economics and Management.
    7. Bennett, Elaine & Wooders, Myrna, 1979. "Income distribution and firm formation," Journal of Comparative Economics, Elsevier, vol. 3(3), pages 304-317, September.
    8. Tijs, S.H. & Otten, G.J.M., 1993. "Compromise values in cooperative game theory," Other publications TiSEM 0f7c6f08-1cec-4b83-942a-5, Tilburg University, School of Economics and Management.
    9. Elsner, Ludwig & van den Driessche, P, 2010. "Modifying the power method in max algebra," Center for Mathematical Economics Working Papers 332, Center for Mathematical Economics, Bielefeld University.
    10. Tijs, Stef H., 1987. "An axiomatization of the [tau]-value," Mathematical Social Sciences, Elsevier, vol. 13(2), pages 177-181, April.
    11. van den Brink, J.R., 1994. "A note on the t-value and t-related solution concepts," Research Memorandum FEW 652, Tilburg University, School of Economics and Management.
    12. Stef Tijs & Gert-Jan Otten, 1993. "Compromise values in cooperative game theory," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 1(1), pages 1-36, December.
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    Citations

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    Cited by:

    1. Branzei, Rodica & Dimitrov, Dinko & Tijs, Stef, 2004. "Egalitarianism in convex fuzzy games," Mathematical Social Sciences, Elsevier, vol. 47(3), pages 313-325, May.
    2. Li, Deng-Feng, 2012. "A fast approach to compute fuzzy values of matrix games with payoffs of triangular fuzzy numbers," European Journal of Operational Research, Elsevier, vol. 223(2), pages 421-429.
    3. repec:wsi:igtrxx:v:08:y:2006:i:03:n:s0219198906000941 is not listed on IDEAS
    4. Li, Deng-Feng, 2011. "Linear programming approach to solve interval-valued matrix games," Omega, Elsevier, vol. 39(6), pages 655-666, December.
    5. Keyzer, Michiel & van Wesenbeeck, Cornelia, 2011. "Optimal coalition formation and surplus distribution: Two sides of one coin," European Journal of Operational Research, Elsevier, vol. 215(3), pages 604-615, December.

    More about this item

    Keywords

    cooperative games; Compromise values; Core; Fuzzy coalitions; Fuzzy games; Hypercubes; Path solutions; Weber set;

    JEL classification:

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

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