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Values of games with graph restricted communication and a priori unions. (2009). Álvarez-Mozos, Mikel ; Fiestras-Janeiro, M. G. ; Alonso-Meijide, J. M..
In: Mathematical Social Sciences.
RePEc:eee:matsoc:v:58:y:2009:i:2:p:202-213.

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  1. Power in Sharing Networks with a priori Unions. (2025). di Liddo, Andrea ; Aleandri, Michele ; Ciardiello, Francesco.
    In: Papers.
    RePEc:arx:papers:2507.13272.

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  2. Consistency of the Owen value for TU-games with coalition and graph structures. (2024). Cui, Zeguang ; Lyu, Wenrong ; Shan, Erfang.
    In: Annals of Operations Research.
    RePEc:spr:annopr:v:338:y:2024:i:2:d:10.1007_s10479-024-06073-7.

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  3. The α-Egalitarian Myerson value of games with communication structure. (2023). Li, Zijun ; Meng, Fanyong.
    In: Mathematical Methods of Operations Research.
    RePEc:spr:mathme:v:97:y:2023:i:3:d:10.1007_s00186-023-00814-3.

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  4. Marginality and a Characterization of the Owen Graph value. (2023). Shan, Erfang.
    In: International Journal of Game Theory.
    RePEc:spr:jogath:v:52:y:2023:i:2:d:10.1007_s00182-022-00825-0.

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  5. The efficient partition surplus Owen graph value. (2023). Lyu, Wenrong ; Shi, Jilei ; Shan, Erfang.
    In: Annals of Operations Research.
    RePEc:spr:annopr:v:320:y:2023:i:1:d:10.1007_s10479-022-04968-x.

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  6. Allocation rules for cooperative games with restricted communication and a priori unions based on the Myerson value and the average tree solution. (2022). Solal, Philippe ; Béal, Sylvain ; Beal, Sylvain ; Remila, Eric.
    In: Journal of Combinatorial Optimization.
    RePEc:spr:jcomop:v:43:y:2022:i:4:d:10.1007_s10878-021-00811-4.

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  7. A value for cooperative games with coalition and probabilistic graph structures. (2022). Lyu, Wenrong ; Cai, Lei ; Shi, Jilei ; Shan, Erfang.
    In: Journal of Combinatorial Optimization.
    RePEc:spr:jcomop:v:43:y:2022:i:3:d:10.1007_s10878-021-00805-2.

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  8. Axiomatization of an allocation rule for ordered tree TU-games. (2018). Solal, Philippe ; Rémila, Eric ; Béal, Sylvain ; Beal, Sylvain ; Remila, Eric ; Ferrieres, Sylvain.
    In: Mathematical Social Sciences.
    RePEc:eee:matsoc:v:93:y:2018:i:c:p:132-140.

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  9. Graphs and (levels of) cooperation in games: Two ways how to allocate the surplus. (2018). Tejada, Oriol ; Álvarez-Mozos, Mikel ; Alvarez-Mozos, M.
    In: Mathematical Social Sciences.
    RePEc:eee:matsoc:v:93:y:2018:i:c:p:114-122.

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  10. Power Indices and Minimal Winning Coalitions for Simple Games in Partition Function Form. (2017). Álvarez-Mozos, Mikel ; Fiestras-Janeiro, M G ; Alvarez-Mozos, M ; Alonso-Meijide, J M.
    In: Group Decision and Negotiation.
    RePEc:spr:grdene:v:26:y:2017:i:6:d:10.1007_s10726-017-9542-x.

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  11. Games with Graph Restricted Communication and Levels Structure of Cooperation. (2017). Tejada, Oriol ; Álvarez-Mozos, Mikel ; Alvarez-Mozos, Mikel.
    In: UB School of Economics Working Papers.
    RePEc:ewp:wpaper:363web.

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  12. Axiomatic and bargaining foundations of an allocation rule for ordered tree TU-games. (2017). Solal, Philippe ; Rémila, Eric ; Béal, Sylvain ; Ferrieres, Sylvain ; Remila, Eric.
    In: Working Papers.
    RePEc:crb:wpaper:2017-11.

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  13. Values for transferable utility games with coalition and graph structure. (2015). van den Brink, Rene ; Moes, Nigel ; Laan, Gerard.
    In: TOP: An Official Journal of the Spanish Society of Statistics and Operations Research.
    RePEc:spr:topjnl:v:23:y:2015:i:1:p:77-99.

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  14. Allocation rules for coalitional network games. (2015). Vannetelbosch, Vincent ; Mauleon, Ana ; Caulier, Jean-Franois.
    In: Post-Print.
    RePEc:hal:journl:hal-01301981.

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  15. Allocation rules for coalitional network games. (2015). Vannetelbosch, Vincent ; Caulier, Jean-François ; Mauleon, Ana.
    In: Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers).
    RePEc:hal:cesptp:hal-01301981.

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  16. Power Indices and Minimal Winning Coalitions in Simple Games with Externalities Abstract: We propose a generalization of simple games to situations with coalitional externalities. The main novelty of our generalization is a monotonicity property that we define for games in partition function form. This property allows us to properly speak about minimal winning embedded coalitions. We propose and characterize two power indices based on these kind of coalitions. We provide methods based on the multilinear extension of the game to compute the indices. Finally, the new indices are used to study the distribution of power in the current Parliament of Andalusia.. (2015). Álvarez-Mozos, Mikel ; Alvarez-Mozos, Mikel ; Fiestras-Janeiro, Maria Gloria ; Alonso-Meijide, Jose Maria .
    In: UB School of Economics Working Papers.
    RePEc:ewp:wpaper:328web.

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  17. Allocation rules for coalitional network games. (2015). Vannetelbosch, Vincent ; Caulier, Jean-François ; Mauleon, Ana.
    In: Mathematical Social Sciences.
    RePEc:eee:matsoc:v:78:y:2015:i:c:p:80-88.

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  18. Two Values for Transferable Utility Games with Coalition and Graph Structure. (2011). van den Brink, Rene ; van der Laan, Gerard ; Moes, Nigel.
    In: Tinbergen Institute Discussion Papers.
    RePEc:tin:wpaper:20110164.

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  19. Value of games with two-layered hypergraphs. (2011). Kongo, Takumi.
    In: Mathematical Social Sciences.
    RePEc:eee:matsoc:v:62:y:2011:i:2:p:114-119.

    Full description at Econpapers || Download paper

References

References cited by this document

  1. Alonso-Meijide, J.M. ; Carreras, F. ; Fiestras-Janeiro, M.G. ; Owen, G. A comparative axiomatic characterization of the Banzhaf-Owen coalitional value. 2007 Decision Support Systems. 43 701-712
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  2. Alonso-Meijide, J.M. ; Fiestras-Janeiro, M.G. Modification of the Banzhaf value for games with a coalition structure. 2002 Annals of Operations Research. 109 213-227

  3. Alonso-Meijide, J.M. ; Fiestras-Janeiro, M.G. The Banzhaf value and communication situations. 2006 Naval Research Logistics. 53 198-203
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  4. Amer, R. ; Carreras, F. ; Giménez, J.M. The modified Banzhaf value for games with coalition structure: An axiomatic characterization. 2002 Mathematical Social Sciences. 43 45-54

  5. Aumann, R.J. ; Drèze, J. Cooperative games with coalition structures. 1974 International Journal of Game Theory. 3 217-237
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  6. Banzhaf, J.F. Weighted voting does not work: A mathematical analysis. 1965 Rutgers Law Review. 19 317-343
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  7. Carreras, F. ; Magaña, A. The multilinear extension and the modified Banzhaf-Coleman index. 1994 Mathematical Social Sciences. 28 215-222
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  8. Lehrer, E. An axiomatization of the Banzhaf value. 1988 International Journal of Game Theory. 17 89-99

  9. Myerson, R.B. Graphs and cooperation in games. 1977 Mathematics of Operations Research. 2 225-229

  10. Nowak, A.S. On the axiomatization of the Banzhaf value without the additivity axiom. 1997 International Journal of Game Theory. 26 137-141

  11. Owen, G. Modification of the Banzhaf-Coleman index for games with a priori unions. 1982 En : Holler, M.J Power, voting and voting power. Verlag:
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  12. Owen, G. Values of games with a priori unions. 1977 En : Henn, R. ; Moeschlin, O. Mathematical Economics and Game Theory. Springer:
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  13. Owen, G. Values of graph-restricted games. 1986 SIAM Journal on Algebraic and Discrete Methods. 7 210-220
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  14. Shapley, L.S. A value for n-person games. 1953 En : Tucker, A.W. Contributions to the Theory of Games II. Princeton University Press:
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  15. Vázquez-Brage, M. ; García-Jurado, I. ; Carreras, F. The Owen value applied to games with graph-restricted communication. 1996 Games and Economic Behavior. 12 42-53

  16. Vázquez-Brage, M. ; van den Nouweland, A. ; García-Jurado, I. Owen’s coalitional value and aircraft landing fees. 1997 Mathematical Social Sciences. 34 273-286
    Paper not yet in RePEc: Add citation now

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  2. The Owen value for differential cooperative games with a coalition structure. (2024). Li, Zijun ; Zhao, Jianwei.
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  3. Consistency of the Owen value for TU-games with coalition and graph structures. (2024). Cui, Zeguang ; Lyu, Wenrong ; Shan, Erfang.
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  4. Union-wise egalitarian solutions in cooperative games with a coalition structure. (2023). Yu, Zhiqiang ; Lyu, Wenrong ; Shan, Erfang.
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  5. Second-order productivity, second-order payoffs, and the Owen value. (2023). Takeng, Rodrigue Tido ; Casajus, Andre.
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  6. Decompositions of inequality measures from the perspective of the Shapley–Owen value. (2023). Takeng, Rodrigue Tido ; Fourrey, Kevin ; Soh, Arnold Cedrick.
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  7. Allocation rules for cooperative games with restricted communication and a priori unions based on the Myerson value and the average tree solution. (2022). Solal, Philippe ; Béal, Sylvain ; Beal, Sylvain ; Remila, Eric.
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  8. Necessary players and values. (2022). Alonso-Meijide, J M ; Costa, J ; Gonalves-Dosantos, J C ; Garcia-Jurado, I.
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  9. Second-order productivity, second-order payoffs, and the Owen value. (2022). Casajus, Andre ; Takeng, Rodrigue Tido.
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  10. New axiomatizations of the Owen value. (2021). Hu, Xun-Feng.
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  11. The Banzhaf value for generalized probabilistic communication situations. (2021). Shi, Jilei ; Shan, Erfang.
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