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The general nucleolus and the reduced game property

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  • Maschler, M.
  • Potters, J.A.M.
  • Tijs, S.H.

    (Tilburg University, School of Economics and Management)

Abstract

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Suggested Citation

  • Maschler, M. & Potters, J.A.M. & Tijs, S.H., 1992. "The general nucleolus and the reduced game property," Other publications TiSEM ab187dab-1b5b-40c3-a673-8, Tilburg University, School of Economics and Management.
  • Handle: RePEc:tiu:tiutis:ab187dab-1b5b-40c3-a673-8c2bdc4a5f4d
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    File URL: https://pure.uvt.nl/portal/files/659088/26986_12947.pdf
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    References listed on IDEAS

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    1. Rubinstein, Ariel, 1982. "Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 50(1), pages 97-109, January.
    2. Nash, John, 1953. "Two-Person Cooperative Games," Econometrica, Econometric Society, vol. 21(1), pages 128-140, April.
    3. Kalai, Ehud & Smorodinsky, Meir, 1975. "Other Solutions to Nash's Bargaining Problem," Econometrica, Econometric Society, vol. 43(3), pages 513-518, May.
    4. Kihlstrom, Richard E. & Mirman, Leonard J., 1974. "Risk aversion with many commodities," Journal of Economic Theory, Elsevier, vol. 8(3), pages 361-388, July.
    5. Kalai, Ehud, 1977. "Proportional Solutions to Bargaining Situations: Interpersonal Utility Comparisons," Econometrica, Econometric Society, vol. 45(7), pages 1623-1630, October.
    6. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
    7. Robert W. Rosenthal, 1976. "An Arbitration Model for Normal-Form Games," Mathematics of Operations Research, INFORMS, vol. 1(1), pages 82-88, February.
    8. Aumann, Robert J, 1985. "An Axiomatization of the Non-transferable Utility Value," Econometrica, Econometric Society, vol. 53(3), pages 599-612, May.
    9. P. L. Yu, 1973. "A Class of Solutions for Group Decision Problems," Management Science, INFORMS, pages 936-946.
    10. Myerson, Roger B, 1977. "Two-Person Bargaining Problems and Comparable Utility," Econometrica, Econometric Society, vol. 45(7), pages 1631-1637, October.
    11. de Koster, R. & Peters, H. J. M. & Tijs, S. H. & Wakker, P., 1983. "Risk sensitivity, independence of irrelevant alternatives and continuity of bargaining solutions," Mathematical Social Sciences, Elsevier, vol. 4(3), pages 295-300, July.
    12. Ehud Kalai, 1983. "Solutions to the Bargaining Problem," Discussion Papers 556, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    13. Roth, Alvin E & Rothblum, Uriel G, 1982. "Risk Aversion and Nash's Solution for Bargaining Games with Risky Outcomes," Econometrica, Econometric Society, vol. 50(3), pages 639-647, 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.
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    Cited by:

    1. Potters, Jos & Sudholter, Peter, 1999. "Airport problems and consistent allocation rules," Mathematical Social Sciences, Elsevier, vol. 38(1), pages 83-102, July.
    2. Sankaran, J. K., 1998. "On a variant of lexicographic multi-objective programming," European Journal of Operational Research, Elsevier, vol. 107(3), pages 669-674, June.
    3. Suijs, J.P.M., 1998. "Cooperative decision making in a stochastic environment," Other publications TiSEM a84d779a-d5a9-48e9-bfe7-4, Tilburg University, School of Economics and Management.
    4. Potters, Jos & Reijnierse, Hans & Biswas, Amit, 2006. "The nucleolus of balanced simple flow networks," Games and Economic Behavior, Elsevier, vol. 54(1), pages 205-225, January.
    5. Slikker, Marco & Norde, Henk, 2011. "The monoclus of a coalitional game," Games and Economic Behavior, Elsevier, vol. 71(2), pages 420-435, March.
    6. Rodica Brânzei & Tamás Solymosi & Stef Tijs, 2005. "Strongly essential coalitions and the nucleolus of peer group games," International Journal of Game Theory, Springer;Game Theory Society, vol. 33(3), pages 447-460, September.
    7. Ogryczak, Wlodzimierz, 1997. "On the lexicographic minimax approach to location problems," European Journal of Operational Research, Elsevier, vol. 100(3), pages 566-585, August.
    8. Arin Aguirre, Francisco Javier, 2003. "Egalitarian distributions in coalitional models: The Lorenz criterion," IKERLANAK 2003-02, Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I.
    9. Peleg, Bezalel & Tijs, Stef, 1996. "The Consistency Principle for Games in Strategic Forms," International Journal of Game Theory, Springer;Game Theory Society, vol. 25(1), pages 13-34.
    10. D. Granot & H. Hamers & J. Kuipers & M. Maschler, 2004. "Chinese Postman Games on a Class of Eulerian Graphs," Discussion Paper Series dp366, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
    11. Suijs, J.P.M., 1996. "A Nucleolus for Stochastic Cooperative Games," Discussion Paper 1996-90, Tilburg University, Center for Economic Research.
    12. Arce M., Daniel G. & Sandler, Todd, 2003. "Health-promoting alliances," European Journal of Political Economy, Elsevier, vol. 19(2), pages 355-375, June.
    13. Nishizaki, Ichiro & Sakawa, Masatoshi, 2001. "On computational methods for solutions of multiobjective linear production programming games," European Journal of Operational Research, Elsevier, vol. 129(2), pages 386-413, March.
    14. van Gulick, Gerwald & De Waegenaere, Anja & Norde, Henk, 2012. "Excess based allocation of risk capital," Insurance: Mathematics and Economics, Elsevier, vol. 50(1), pages 26-42.
    15. Tamas Solymosi & Balazs Sziklai, 2015. "Universal Characterization Sets for the Nucleolus in Balanced Games," IEHAS Discussion Papers 1512, Institute of Economics, Centre for Economic and Regional Studies, Hungarian Academy of Sciences.
    16. repec:spr:mathme:v:86:y:2017:i:2:d:10.1007_s00186-017-0597-x is not listed on IDEAS
    17. Imma Curiel & Herbert Hamers & Stef Tijs & Jos Potters, 1997. "Restricted component additive games," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 45(2), pages 213-220, June.
    18. Quant, Marieke & Borm, Peter & Hendrickx, Ruud & Zwikker, Peter, 2006. "Compromise solutions based on bankruptcy," Mathematical Social Sciences, Elsevier, vol. 51(3), pages 247-256, May.
    19. Reijnierse, Hans & Potters, Jos, 1998. "The -Nucleolus of TU-Games," Games and Economic Behavior, Elsevier, vol. 24(1-2), pages 77-96, July.
    20. Michael Maschler, 2004. "Encouraging a Coalition Formation," Discussion Paper Series dp392, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
    21. Granot, Daniel & Hamers, Herbert & Kuipers, Jeroen & Maschler, Michael, 2011. "On Chinese postman games where residents of each road pay the cost of their road," Games and Economic Behavior, Elsevier, vol. 72(2), pages 427-438, June.
    22. repec:spr:compst:v:45:y:1997:i:2:p:213-220 is not listed on IDEAS
    23. Reiner Wolff & Yavuz Karagök, 2012. "Consistent allocation of cabinet seats: the Swiss Magic Formula," Public Choice, Springer, vol. 150(3), pages 547-559, March.

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