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Core extensions for non-balanced TU-games

Author

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  • Camelia Bejan

    ()

  • Juan Gómez

    ()

Abstract

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Suggested Citation

  • Camelia Bejan & Juan Gómez, 2009. "Core extensions for non-balanced TU-games," International Journal of Game Theory, Springer;Game Theory Society, vol. 38(1), pages 3-16, March.
  • Handle: RePEc:spr:jogath:v:38:y:2009:i:1:p:3-16
    DOI: 10.1007/s00182-008-0135-4
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    References listed on IDEAS

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    1. Jingang Zhao, 1999. "The Core in Oligopoly Market with Indivisibility," Working Papers 99-07, Ohio State University, Department of Economics.
    2. Moulin, Herve, 1985. "The separability axiom and equal-sharing methods," Journal of Economic Theory, Elsevier, vol. 36(1), pages 120-148, June.
    3. Drèze, Jacques & Le Breton, Michel & Savvateev, Alexei & Weber, Shlomo, 2008. ""Almost" subsidy-free spatial pricing in a multi-dimensional setting," Journal of Economic Theory, Elsevier, vol. 143(1), pages 275-291, November.
    4. Tadenuma, K, 1992. "Reduced Games, Consistency, and the Core," International Journal of Game Theory, Springer;Game Theory Society, vol. 20(4), pages 325-334.
    5. Peleg, B, 1986. "On the Reduced Game Property and Its Converse," International Journal of Game Theory, Springer;Game Theory Society, vol. 15(3), pages 187-200.
    6. Wooders, Myrna Holtz & Zame, William R, 1984. "Approximate Cores of Large Games," Econometrica, Econometric Society, vol. 52(6), pages 1327-1350, November.
    7. Gooni Orshan & Peter Sudholter, 2001. "The Positive Core of a Cooperative Game," Discussion Paper Series dp268, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
    8. Orshan,G. & Sudhoelter,P., 2001. "The positive core of a cooperative game," Center for Mathematical Economics Working Papers 326, Center for Mathematical Economics, Bielefeld University.
    9. Lucchetti, R. & Patrone, F. & Tijs, S.H. & Torre, A., 1987. "Continuity properties of solution concepts for cooperative games," Other publications TiSEM 6b430c63-00ee-469b-a9aa-d, Tilburg University, School of Economics and Management.
    10. Kannai, Yakar, 1992. "The core and balancedness," Handbook of Game Theory with Economic Applications,in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 12, pages 355-395 Elsevier.
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    Citations

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    Cited by:

    1. Stéphane Gonzalez & Michel Grabisch, 2015. "Preserving coalitional rationality for non-balanced games," International Journal of Game Theory, Springer;Game Theory Society, vol. 44(3), pages 733-760, August.
    2. Yang, Yi-You, 2012. "On the accessibility of core-extensions," Games and Economic Behavior, Elsevier, vol. 74(2), pages 687-698.
    3. Jean Derks & Hans Peters & Peter Sudhölter, 2014. "On extensions of the core and the anticore of transferable utility games," International Journal of Game Theory, Springer;Game Theory Society, vol. 43(1), pages 37-63, February.
    4. Stéphane Gonzalez & Aymeric Lardon, 2016. "Optimal Deterrence of Cooperation," GREDEG Working Papers 2016-22, Groupe de REcherche en Droit, Economie, Gestion (GREDEG CNRS), University of Nice Sophia Antipolis, revised Jun 2017.
    5. Yan-An Hwang, 2013. "On the core: complement-reduced game and max-reduced game," International Journal of Game Theory, Springer;Game Theory Society, vol. 42(2), pages 339-355, May.
    6. Dinko Dimitrov & Emiliya A. Lazarova & Shao-Chin Sung, 2016. "Inducing stability in hedonic games," University of East Anglia School of Economics Working Paper Series 2016-09, School of Economics, University of East Anglia, Norwich, UK..
    7. Michel Grabisch, 2016. "Rejoinder on: Remarkable polyhedra related to set functions, games and capacities," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 24(2), pages 335-337, July.
    8. Chen, Haoxun, 2017. "Undominated nonnegative excesses and core extensions of transferable utility games," European Journal of Operational Research, Elsevier, vol. 261(1), pages 222-233.
    9. Bejan, Camelia & Gómez, Juan Camilo, 2012. "A market interpretation of the proportional extended core," Economics Letters, Elsevier, vol. 117(3), pages 636-638.
    10. 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

    Core extensions; Efficiency; Taxation; Public goods; C71; H21; H41;

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • H21 - Public Economics - - Taxation, Subsidies, and Revenue - - - Efficiency; Optimal Taxation
    • H41 - Public Economics - - Publicly Provided Goods - - - Public Goods

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