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Autor
Peters Hans (Maastricht University, Netherlands), Timmer Judith (University of Twente, Netherlands), Van Den Brink Rene (Free University of Amsterdam)
Tytuł
Power on Digraphs
Źródło
Operations Research and Decisions, 2016, vol. 26, no. 2, s. 107-125, tab., bibliogr. 18 poz.
Słowa kluczowe
Teoria gier, Indeks siły
Game theory, Power index
Uwagi
summ.
Abstrakt
It is assumed that relations between n players are represented by a directed graph or digraph. Such a digraph is called invariant if there is a link (arc) between any two players between whom there is also a directed path. We characterize a class of power indices for invariant digraphs based on four axioms: Null player, Constant sum, Anonymity, and the Transfer property. This class is determined by 2n - 2 parameters. By considering additional conditions about the effect of adding a directed link between two players, we single out three different, one-parameter families of power indices, reflecting several well-known indices from the literature: the Copeland score, ß- and apex type indices. (original abstract)
Dostępne w
Biblioteka Główna Uniwersytetu Ekonomicznego w Krakowie
Biblioteka SGH im. Profesora Andrzeja Grodka
Biblioteka Główna Uniwersytetu Ekonomicznego w Katowicach
Biblioteka Główna Uniwersytetu Ekonomicznego w Poznaniu
Pełny tekst
Pokaż
Bibliografia
Pokaż
  1. BERTINI C., FREIXAS J., GAMBARELLI G., STACH I., Comparing power indices, [in:] V. Fragnelli, G. Gambarelli (Eds.), Open Problems in the Theory of Cooperative Games, Special Issue of International Game Theory Review, 2013, 15 (2), 1320004.
  2. COPELAND A.H., A reasonable social welfare function, Seminar on Applications of Mathematics to the Social Sciences, University of Michigan, 1951.
  3. DUBEY P., On the uniqueness of the Shapley value, International Journal of Game Theory, 1975, 4, 131.
  4. DUBEY P., EINY E., HAIMANKO O., Compound voting and the Banzhaf index, Games and Economic Behavior, 2005, 51, 20.
  5. EINY E., HAIMANKO O., Characterization of the Shapley-Shubik power index without the efficiency axiom, Games and Economic Behavior, 2011, 73, 615.
  6. GAMBARELLI G., Power indices for political and financial decision making, Annals of Operations Research, 1994, 51, 163.
  7. GAMBARELLI G., OWEN G., Indirect control of corporations, International Journal of Game Theory, 1994, 23, 287.
  8. GAMBARELLI G., STACH I., Power indices in politics, some results and open problems, Homo Oeconomics, 2009, 26, 417.
  9. GILLES R.P., OWEN G., VAN DEN BRINK R., Games with permission structures, the conjunctive approach, International Journal of Game Theory, 1992, 20, 277.
  10. HU X., SHAPLEY L.S., On authority distributions in organizations, equilibrium, Games and Economic Behavior, 2003, 45, 132.
  11. HU X., SHAPLEY L.S., On authority distributions in organizations, controls, Games and Economic Behavior, 2003, 45, 153.
  12. KAROS D., PETERS H., Indirect control and power in mutual control structures, Games and Economic Behavior, 2015, 92, 150.
  13. MYERSON R.B., Graphs and Cooperation in Games, Mathematics of Operations Research, 1977, 2, 225.
  14. SHAPLEY L.S., A value for n-person games, [in:] H.W. Kuhn, A.W. Tucker (Eds.), Contributions to the Theory of Games II, Princeton University Press, Princeton 1953.
  15. SHAPLEY L.S., SHUBIK M., A method for evaluating the distribution of power in a committee system, American Political Science Review, 1954, 48, 787.
  16. VAN DEN BRINK R., The Apex power measure for directed networks, Social Choice and Welfare, 2002, 19, 845.
  17. VAN DEN BRINK R., BORM P., Digraph competitions and cooperative games, Theory and Decision, 2002, 53, 327.
  18. VAN DEN BRINK R., GILLES R., Measuring domination in directed networks, Social Networks, 2000, 22, 141.
Cytowane przez
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ISSN
2081-8858
Język
eng
URI / DOI
http://dx.doi.org/10.5277/ord160207
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