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Values for rooted-tree and sink-tree digraph games and sharing a river

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  • Anna Khmelnitskaya

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  • Anna Khmelnitskaya, 2010. "Values for rooted-tree and sink-tree digraph games and sharing a river," Theory and Decision, Springer, vol. 69(4), pages 657-669, October.
  • Handle: RePEc:kap:theord:v:69:y:2010:i:4:p:657-669
    DOI: 10.1007/s11238-009-9141-7
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    References listed on IDEAS

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    1. 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.
    2. 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.
    3. Charnes, A. & Littlechild, S. C., 1975. "On the formation of unions in n-person games," Journal of Economic Theory, Elsevier, vol. 10(3), pages 386-402, June.
    4. Roger B. Myerson, 1976. "Graphs and Cooperation in Games," Discussion Papers 246, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
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    Citations

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    Cited by:

    1. 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.
    2. Sylvain Béal & Amandine Ghintran & Eric Rémila & Philippe Solal, 2015. "The sequential equal surplus division for rooted forest games and an application to sharing a river with bifurcations," Theory and Decision, Springer, vol. 79(2), pages 251-283, September.
    3. Sylvain Béal & Eric Rémila & Philippe Solal, 2012. "Compensations in the Shapley value and the compensation solutions for graph games," International Journal of Game Theory, Springer;Game Theory Society, vol. 41(1), pages 157-178, February.
    4. Khmelnitskaya, A. & Talman, A.J.J., 2011. "Two solution concepts for TU games with cycle-free directed cooperation structures," Other publications TiSEM df61db11-45de-42b3-91e6-9, Tilburg University, School of Economics and Management.
    5. Rene van den Brink & Arantza Estevez-Fernandez & Gerard van der Laan & Nigel Moes, 2011. "Independence Axioms for Water Allocation," Tinbergen Institute Discussion Papers 11-128/1, Tinbergen Institute.
    6. Sylvain Béal & Anna Khmelnitskaya & Philippe Solal, 2015. "Two-step values for games with two-level communication structure," Working Papers 2015-02, CRESE.
    7. Khmelnitskaya, A. & Talman, A.J.J., 2010. "Tree-Type Values for Cycle-Free Directed Graph Games," Discussion Paper 2010-113, Tilburg University, Center for Economic Research.
    8. Erik Ansink & Hans-Peter Weikard, 2015. "Composition properties in the river claims problem," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 44(4), pages 807-831, April.
    9. Philippe Solal & Sylvain Béal & Sylvain Ferrières & Eric Rémila, 2017. "Axiomatic and bargaining foundation of an allocation rule for ordered tree TU-games," Post-Print halshs-01644811, HAL.
    10. René Brink & Arantza Estévez-Fernández & Gerard Laan & Nigel Moes, 2014. "Independence of downstream and upstream benefits in river water allocation problems," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 43(1), pages 173-194, June.
    11. Khmelnitskaya, A. & Talman, A.J.J., 2011. "Tree, Web and Average Web Value for Cycle-Free Directed Graph Games," Discussion Paper 2011-122, Tilburg University, Center for Economic Research.
    12. Ansink, Erik & Houba, Harold, 2016. "Sustainable agreements on stochastic river flow," Resource and Energy Economics, Elsevier, vol. 44(C), pages 92-117.
    13. Khmelnitskaya, Anna & Talman, Dolf, 2014. "Tree, web and average web values for cycle-free directed graph games," European Journal of Operational Research, Elsevier, vol. 235(1), pages 233-246.
    14. Alcalde-Unzu, Jorge & Gómez-Rúa, María & Molis, Elena, 2015. "Sharing the costs of cleaning a river: the Upstream Responsibility rule," Games and Economic Behavior, Elsevier, vol. 90(C), pages 134-150.
    15. Gerard van der Laan & Nigel Moes, 2012. "Transboundary Externalities and Property Rights: An International River Pollution Model," Tinbergen Institute Discussion Papers 12-006/1, Tinbergen Institute.
    16. Khmelnitskaya, A. & Selcuk, O. & Talman, A.J.J., 2012. "The Average Covering Tree Value for Directed Graph Games," Discussion Paper 2012-037, Tilburg University, Center for Economic Research.
    17. Erik Ansink & Harold Houba, 2014. "The Economics of Transboundary River Management," Tinbergen Institute Discussion Papers 14-132/VIII, Tinbergen Institute.
    18. Jorge Alcalde-Unzu & Maria Gomez-Rua & Elena Molis, 2018. "Allocating the costs of cleaning a river; estimating responsibilities versus incentive compatibility," ThE Papers 18/02, Department of Economic Theory and Economic History of the University of Granada..

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