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Centrality Rewarding Shapley and Myerson Values for Undirected Graph Games

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  • Khmelnitskaya, A.
  • van der Laan, G.
  • Talman, Dolf

    (Tilburg University, School of Economics and Management)

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Suggested Citation

  • Khmelnitskaya, A. & van der Laan, G. & Talman, Dolf, 2016. "Centrality Rewarding Shapley and Myerson Values for Undirected Graph Games," Other publications TiSEM f449b907-5e19-4702-b48e-a, Tilburg University, School of Economics and Management.
  • Handle: RePEc:tiu:tiutis:f449b907-5e19-4702-b48e-a1c812747507
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    References listed on IDEAS

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    1. Debasis Mishra & A. Talman, 2010. "A characterization of the average tree solution for tree games," International Journal of Game Theory, Springer;Game Theory Society, vol. 39(1), pages 105-111, March.
    2. René Brink & P. Herings & Gerard Laan & A. Talman, 2015. "The Average Tree permission value for games with a permission tree," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 58(1), pages 99-123, January.
    3. Roger B. Myerson, 1977. "Graphs and Cooperation in Games," Mathematics of Operations Research, INFORMS, vol. 2(3), pages 225-229, August.
    4. Gabrielle Demange, 2004. "On Group Stability in Hierarchies and Networks," Journal of Political Economy, University of Chicago Press, vol. 112(4), pages 754-778, August.
    5. Herings, P.J.J. & van der Laan, G. & Talman, A.J.J. & Yang, Z., 2010. "The average tree solution for cooperative games with communication structure," Games and Economic Behavior, Elsevier, vol. 68(2), pages 626-633, March.
    6. van den Brink, René, 2012. "Efficiency and collusion neutrality in cooperative games and networks," Games and Economic Behavior, Elsevier, vol. 76(1), pages 344-348.
    7. van den Brink, René & van der Laan, Gerard & Moes, Nigel, 2012. "Fair agreements for sharing international rivers with multiple springs and externalities," Journal of Environmental Economics and Management, Elsevier, vol. 63(3), pages 388-403.
    8. Herings, P.J.J. & van der Laan, G. & Talman, A.J.J., 2008. "The average tree solution for cycle-free graph games," Other publications TiSEM f243609c-2847-415f-ae52-1, Tilburg University, School of Economics and Management.
    9. Koshevoy, Gleb & Talman, Dolf, 2014. "Solution concepts for games with general coalitional structure," Mathematical Social Sciences, Elsevier, vol. 68(C), pages 19-30.
    10. Khmelnitskaya, A. & van der Laan, G. & Talman, Dolf, 2016. "Generalization of Binomial Coefficients to Numbers on the Nodes of Graphs," Other publications TiSEM b5401f7f-fa00-4bc2-9fe6-7, Tilburg University, School of Economics and Management.
    11. René Brink & Gerard Laan & Vitaly Pruzhansky, 2011. "Harsanyi power solutions for graph-restricted games," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(1), pages 87-110, February.
    12. van den Brink, R. & van der Laan, G. & Herings, P.J.J. & Talman, A.J.J., 2015. "The Average Tree permission value for games with a permission tree," Other publications TiSEM 97042492-4b03-4e72-b88d-d, Tilburg University, School of Economics and Management.
    13. Herings, P.J.J. & van der Laan, G. & Talman, A.J.J. & Yang, Z.F., 2010. "The average tree solution for cooperative games with communication structure," Other publications TiSEM 24359ac5-6399-42ee-8f0b-7, Tilburg University, School of Economics and Management.
    14. Haller, Hans, 1994. "Collusion Properties of Values," International Journal of Game Theory, Springer;Game Theory Society, vol. 23(3), pages 261-281.
    15. Borm, P.E.M. & Owen, G. & Tijs, S.H., 1992. "On the position value for communication situations," Other publications TiSEM 5a8473e4-1df7-42df-ad53-f, Tilburg University, School of Economics and Management.
    16. Mishra, D. & Talman, A.J.J., 2010. "A characterization of the average tree solution for cycle-free graph games," Other publications TiSEM 6cab0e52-fe09-4428-8df6-0, Tilburg University, School of Economics and Management.
    17. Herings, P. Jean Jacques & van der Laan, Gerard & Talman, Dolf, 2008. "The average tree solution for cycle-free graph games," Games and Economic Behavior, Elsevier, vol. 62(1), pages 77-92, January.
    18. Anna Khmelnitskaya & Gerard van der Laan & Dolf Talman, 2016. "Generalization of Binomial Coefficients to Numbers on the Nodes of Graphs," Tinbergen Institute Discussion Papers 16-011/II, Tinbergen Institute.
    19. Suzuki, T., 2015. "Solutions for cooperative games with and without transferable utility," Other publications TiSEM 9bd876f2-c055-4d01-95f0-c, Tilburg University, School of Economics and Management.
    20. Marcin Malawski, 2002. "Equal treatment, symmetry and Banzhaf value axiomatizations," International Journal of Game Theory, Springer;Game Theory Society, vol. 31(1), pages 47-67.
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    1. Ping Sun & Elena Parilina, 2021. "Network Formation with Asymmetric Players and Chance Moves," Mathematics, MDPI, vol. 9(8), pages 1-16, April.

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