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Digraph competitions and cooperative games

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  • van den Brink, J.R.

    (Tilburg University, School of Economics and Management)

  • Borm, P.E.M.

    (Tilburg University, School of Economics and Management)

Abstract

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Suggested Citation

  • van den Brink, J.R. & Borm, P.E.M., 1994. "Digraph competitions and cooperative games," Other publications TiSEM 1b98a76d-ab49-4f5c-975c-c, Tilburg University, School of Economics and Management.
    • Handle: RePEc:tiu:tiutis:1b98a76d-ab49-4f5c-975c-c675eb79b399
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    References listed on IDEAS

    as
    1. Roger B. Myerson, 1977. "Graphs and Cooperation in Games," Mathematics of Operations Research, INFORMS, vol. 2(3), pages 225-229, August.
    2. Borm, Peter & van den Brink, Rene & Levinsky, Rene & Slikker, Marco, 2004. "On two new social choice correspondences," Mathematical Social Sciences, Elsevier, vol. 47(1), pages 51-68, January.
    3. Jean Derks & Hans Haller & Hans Peters, 2000. "The selectope for cooperative games," International Journal of Game Theory, Springer;Game Theory Society, vol. 29(1), pages 23-38.
    4. Laffond G. & Laslier J. F. & Le Breton M., 1993. "The Bipartisan Set of a Tournament Game," Games and Economic Behavior, Elsevier, vol. 5(1), pages 182-201, January.
    5. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
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    Cited by:

    1. Robert P. Gilles & Lina Mallozzi, 2022. "Gately Values of Cooperative Games," Papers 2208.10189, arXiv.org, revised Jul 2023.
    2. Peter Borm & René van den Brink & Marco Slikker, 2002. "An Iterative Procedure for Evaluating Digraph Competitions," Annals of Operations Research, Springer, vol. 109(1), pages 61-75, January.
    3. René Brink & Agnieszka Rusinowska & Frank Steffen, 2013. "Measuring power and satisfaction in societies with opinion leaders: an axiomatization," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(3), pages 671-683, September.
    4. Borm, Peter & van den Brink, Rene & Levinsky, Rene & Slikker, Marco, 2004. "On two new social choice correspondences," Mathematical Social Sciences, Elsevier, vol. 47(1), pages 51-68, January.
    5. Michel Grabisch & Agnieszka Rusinowska, 2010. "A model of influence in a social network," Theory and Decision, Springer, vol. 69(1), pages 69-96, July.
    6. Marco Slikker & Peter Borm & René Brink, 2012. "Internal slackening scoring methods," Theory and Decision, Springer, vol. 72(4), pages 445-462, April.
    7. René van den Brink & Agnieszka Rusinowska & Frank Steffen, 2009. "Measuring Power and Satisfaction in Societies with Opinion Leaders: Dictator and Opinion Leader Properties," Tinbergen Institute Discussion Papers 09-052/1, Tinbergen Institute.
    8. Encarnación Algaba & René Brink & Chris Dietz, 2017. "Power Measures and Solutions for Games Under Precedence Constraints," Journal of Optimization Theory and Applications, Springer, vol. 172(3), pages 1008-1022, March.
    9. Hao Wu & Rene van den Brink & Arantza Estevez-Fernandez, 2022. "The locally partial permission value for games with a permission structure," Tinbergen Institute Discussion Papers 22-037/II, Tinbergen Institute.
    10. Robert P. Gilles & Lina Mallozzi, 2023. "Game Theoretic Foundations of the Gately Power Measure for Directed Networks," Games, MDPI, vol. 14(5), pages 1-19, September.
    11. Marieke Quant & Peter Borm & Hans Reijnierse & Mark Voorneveld, 2003. "On a compromise social choice correspondence," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 11(2), pages 311-324, December.
    12. Rafael Amer & José Giménez & Antonio Magaña, 2012. "Accessibility measures to nodes of directed graphs using solutions for generalized cooperative games," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 75(1), pages 105-134, February.
    13. Yuan Ju & Peter Borm & Pieter Ruys, 2007. "The consensus value: a new solution concept for cooperative games," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 28(4), pages 685-703, June.
    14. van den Brink, J.R. & Borm, P.E.M. & Hendrickx, R.L.P. & Owen, G., 2008. "Characterizations of the beta- and the degree network power measure," Other publications TiSEM 101ef139-cc05-4b30-bef5-1, Tilburg University, School of Economics and Management.
    15. René Brink, 2017. "Games with a permission structure - A survey on generalizations and applications," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 25(1), pages 1-33, April.
    16. Aleksei Y. Kondratev & Vladimir V. Mazalov, 2020. "Tournament solutions based on cooperative game theory," International Journal of Game Theory, Springer;Game Theory Society, vol. 49(1), pages 119-145, March.
    17. Quant, M. & Borm, P.E.M. & Reijnierse, J.H. & Voorneveld, M., 2002. "Characterizations of Solutions in Digraph Competitions," Other publications TiSEM f8406395-a31f-47b0-ab62-d, Tilburg University, School of Economics and Management.
    18. Encarnacion Algaba & René van den Brink & Chris Dietz, 2015. "Power Measures and Solutions for Games under Precedence Constraints," Tinbergen Institute Discussion Papers 15-007/II, Tinbergen Institute.
    19. Amer, Rafael & Gimenez, Jose Miguel & Magana, Antonio, 2007. "Accessibility in oriented networks," European Journal of Operational Research, Elsevier, vol. 180(2), pages 700-712, July.
    20. René Brink & Chris Dietz, 2014. "Games with a local permission structure: separation of authority and value generation," Theory and Decision, Springer, vol. 76(3), pages 343-361, March.
    21. Quant, M. & Borm, P.E.M. & Reijnierse, J.H. & Voorneveld, M., 2006. "On the Beta measure for digraph competitions," Other publications TiSEM 214590f7-5605-42d6-8353-6, Tilburg University, School of Economics and Management.
    22. Bouyssou, Denis & Marchant, Thierry, 2016. "Ranking authors using fractional counting of citations: An axiomatic approach," Journal of Informetrics, Elsevier, vol. 10(1), pages 183-199.
    23. Gilles, Robert P. & Mallozzi, Lina, 2022. "Generalised Gately Values of Cooperative Games," QBS Working Paper Series 2022/06, Queen's University Belfast, Queen's Business School.

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