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Convex fuzzy games and participation monotonic allocation schemes

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  • Brânzei, Rodica

    (Center for Mathematical Economics, Bielefeld University)

  • Dimitrov, Dinko

    (Center for Mathematical Economics, Bielefeld University)

  • Tijs, Stef

    (Center for Mathematical Economics, Bielefeld University)

Abstract

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  • Brânzei, Rodica & Dimitrov, Dinko & Tijs, Stef, 2017. "Convex fuzzy games and participation monotonic allocation schemes," Center for Mathematical Economics Working Papers 332, Center for Mathematical Economics, Bielefeld University.
    • Handle: RePEc:bie:wpaper:332
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    References listed on IDEAS

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    1. Toru Hokari, 2000. "Population monotonic solutions on convex games," International Journal of Game Theory, Springer;Game Theory Society, vol. 29(3), pages 327-338.
    2. Curiel, I. & Pederzoli, G. & Tijs, S.H., 1989. "Sequencing games," Other publications TiSEM cd695be5-0f54-4548-a952-2, Tilburg University, School of Economics and Management.
    3. Brânzei, R. & Tijs, S.H., 2001. "Additivity Regions for Solutions in Cooperative Game Theory," Other publications TiSEM 11d16301-ce3b-4ba9-93a3-7, Tilburg University, School of Economics and Management.
    4. Guillermo Owen, 1972. "Multilinear Extensions of Games," Management Science, INFORMS, vol. 18(5-Part-2), pages 64-79, January.
    5. 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.
    6. S. C. Littlechild & G. Owen, 1973. "A Simple Expression for the Shapley Value in a Special Case," Management Science, INFORMS, vol. 20(3), pages 370-372, November.
    7. Ichiishi, Tatsuro, 1981. "Super-modularity: Applications to convex games and to the greedy algorithm for LP," Journal of Economic Theory, Elsevier, vol. 25(2), pages 283-286, October.
    8. Jean-Pierre Aubin, 1981. "Cooperative Fuzzy Games," Mathematics of Operations Research, INFORMS, vol. 6(1), pages 1-13, February.
    9. Brânzei, R. & Tijs, S.H., 2001. "Additivity Regions for Solutions in Cooperative Game Theory," Discussion Paper 2001-81, Tilburg University, Center for Economic Research.
    10. Sprumont, Yves, 1990. "Population monotonic allocation schemes for cooperative games with transferable utility," Games and Economic Behavior, Elsevier, vol. 2(4), pages 378-394, December.
    11. Curiel, Imma & Pederzoli, Giorgio & Tijs, Stef, 1989. "Sequencing games," European Journal of Operational Research, Elsevier, vol. 40(3), pages 344-351, June.
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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. Yan-an Hwang & Ming-chuan Chen, 2012. "A new axiomatization of the Shapley value under interval uncertainty," Economics Bulletin, AccessEcon, vol. 32(1), pages 799-810.
    3. Branzei, Rodica & Dimitrov, Dinko & Tijs, Stef, 2004. "Hypercubes and compromise values for cooperative fuzzy games," European Journal of Operational Research, Elsevier, vol. 155(3), pages 733-740, June.
    4. van Gulick, G. & Norde, H.W., 2011. "Fuzzy Cores and Fuzzy Balancedness," Other publications TiSEM 5792b50b-8b99-46dd-bba5-4, Tilburg University, School of Economics and Management.
    5. Yaron Azrieli & Ehud Lehrer, 2005. "Cooperative investment games or population games," Game Theory and Information 0503007, University Library of Munich, Germany.
    6. Tijs, S.H. & Brânzei, R. & Muto, S. & Ishihara, S. & Fukuda, E., 2002. "Fuzzy Clan Games and Bi-monotonic Allocation Rules," Other publications TiSEM b5200e92-83d8-4fd9-b7f2-9, Tilburg University, School of Economics and Management.
    7. Tijs, S.H. & Brânzei, R. & Ishihara, S. & Muto, S., 2002. "On Cores and Stable Sets for Fuzzy Games," Other publications TiSEM 574e2ed7-34ee-4d97-a289-0, Tilburg University, School of Economics and Management.
    8. Zuofeng Gao & Yongbo Yu & Hongxin Bai & Chunyan Han, 2008. "A Repeated Convex Fuzzy Cooperative Game," Modern Applied Science, Canadian Center of Science and Education, vol. 2(3), pages 1-54, May.
    9. Gerwald Gulick & Henk Norde, 2013. "Fuzzy cores and fuzzy balancedness," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 77(2), pages 131-146, April.
    10. Fanyong Meng & Xiaohong Chen & Chunqiao Tan, 2016. "Cooperative fuzzy games with interval characteristic functions," Operational Research, Springer, vol. 16(1), pages 1-24, April.
    11. Yu-Hsien Liao, 2013. "The Shapley value for fuzzy games: TU games approach," Economics Bulletin, AccessEcon, vol. 33(1), pages 192-197.
    12. Tijs, S.H. & Brânzei, R. & Muto, S. & Ishihara, S. & Fukuda, E., 2002. "Fuzzy Clan Games and Bi-monotonic Allocation Rules," Discussion Paper 2002-115, Tilburg University, Center for Economic Research.
    13. Wenbo Yang & Jiuqiang Liu & Xiaodong Liu, 2011. "Aubin cores and bargaining sets for convex cooperative fuzzy games," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(3), pages 467-479, August.
    14. Yaron Azrieli & Ehud Lehrer, 2007. "On some families of cooperative fuzzy games," International Journal of Game Theory, Springer;Game Theory Society, vol. 36(1), pages 1-15, September.
    15. Zuofeng Gao & Suting Zhang & Hongxin Bai & Chunyan Han & Sheng Zhao, 2008. "The Stable Set and Weak Stable Set For -person Repeated Fuzzy Cooperative Games," Modern Applied Science, Canadian Center of Science and Education, vol. 2(2), pages 1-97, March.
    16. Tijs, S.H. & Brânzei, R. & Ishihara, S. & Muto, S., 2002. "On Cores and Stable Sets for Fuzzy Games," Discussion Paper 2002-116, Tilburg University, Center for Economic Research.

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