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Some Characterizations of Convex Interval Games

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Abstract

This paper focuses on two characterizations of convex interval games using the notions of superadditivity and exactness, respectively. We also relate big boss interval games with concave interval games and obtain characterizations of big boss interval games in terms of subadditivity and exactness.

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  • Rodica Branzei & Stef Tijs & S. Zeynep Alparslan Gok, 2008. "Some Characterizations of Convex Interval Games," Czech Economic Review, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, vol. 2(3), pages 219-226, December.
    • Handle: RePEc:fau:aucocz:au2008_219
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    File URL: http://auco.fsv.cuni.cz/storage/46_2008_03_219.pdf
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    1. Alparslan-Gok, S.Z. & Brânzei, R. & Tijs, S.H., 2008. "Convex Interval Games," Other publications TiSEM d8704fc2-6edc-46cc-8330-8, Tilburg University, School of Economics and Management.
    2. Yaron Azrieli & Ehud Lehrer, 2007. "Extendable Cooperative Games," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 9(6), pages 1069-1078, December.
    3. Rodica Branzei & Dinko Dimitrov & Stef Tijs, 2008. "Models in Cooperative Game Theory," Springer Books, Springer, edition 0, number 978-3-540-77954-4, April.
    4. Rodica Branzei & Dinko Dimitrov & Stef Tijs, 2008. "Convex Games Versus Clan Games," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 10(04), pages 363-372.
    5. Brânzei, R. & Dimitrov, D.A. & Tijs, S.H., 2004. "A New Characterization of Convex Games," Other publications TiSEM 34e9abd5-a96f-47e4-b313-d, Tilburg University, School of Economics and Management.
    6. Juan Enrique Martínez-Legaz, 2006. "Some Characterizations of Convex Games," Lecture Notes in Economics and Mathematical Systems, in: Alberto Seeger (ed.), Recent Advances in Optimization, pages 293-303, Springer.
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    Cited by:

    1. Moretti, S. & Alparslan-Gok, S.Z. & Brânzei, R. & Tijs, S.H., 2008. "Connection Situations under Uncertainty," Other publications TiSEM e9771ffd-ce59-4b8d-a2c8-d, Tilburg University, School of Economics and Management.
    2. Alparslan Gök, S.Z. & Branzei, O. & Branzei, R. & Tijs, S., 2011. "Set-valued solution concepts using interval-type payoffs for interval games," Journal of Mathematical Economics, Elsevier, vol. 47(4-5), pages 621-626.
    3. Moretti, S. & Alparslan-Gok, S.Z. & Brânzei, R. & Tijs, S.H., 2008. "Connection Situations under Uncertainty," Discussion Paper 2008-64, Tilburg University, Center for Economic Research.
    4. Li, Deng-Feng, 2011. "Linear programming approach to solve interval-valued matrix games," Omega, Elsevier, vol. 39(6), pages 655-666, December.

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    More about this item

    Keywords

    Cooperative interval games; convex games; big boss games; superadditive games; marginal games; exact games;
    All these keywords.

    JEL classification:

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

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