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Characterizations of the Deegan-Packel and Johnston power indices

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  • Lorenzo-Freire, S.
  • Alonso-Meijide, J.M.
  • Casas-Mendez, B.
  • Fiestras-Janeiro, M.G.

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  • Lorenzo-Freire, S. & Alonso-Meijide, J.M. & Casas-Mendez, B. & Fiestras-Janeiro, M.G., 2007. "Characterizations of the Deegan-Packel and Johnston power indices," European Journal of Operational Research, Elsevier, vol. 177(1), pages 431-444, February.
    • Handle: RePEc:eee:ejores:v:177:y:2007:i:1:p:431-444
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    References listed on IDEAS

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    1. R J Johnston, 1978. "On the Measurement of Power: Some Reactions to Laver," Environment and Planning A, , vol. 10(8), pages 907-914, August.
    2. Guillermo Owen, 1972. "Multilinear Extensions of Games," Management Science, INFORMS, vol. 18(5-Part-2), pages 64-79, January.
    3. Feltkamp, Vincent, 1995. "Alternative Axiomatic Characterizations of the Shapley and Banzhaf Values," International Journal of Game Theory, Springer;Game Theory Society, vol. 24(2), pages 179-186.
    4. Pradeep Dubey & Lloyd S. Shapley, 1979. "Mathematical Properties of the Banzhaf Power Index," Mathematics of Operations Research, INFORMS, vol. 4(2), pages 99-131, May.
    5. Shapley, L. S. & Shubik, Martin, 1954. "A Method for Evaluating the Distribution of Power in a Committee System," American Political Science Review, Cambridge University Press, vol. 48(3), pages 787-792, September.
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    Cited by:

    1. Berghammer, Rudolf & Bolus, Stefan & Rusinowska, Agnieszka & de Swart, Harrie, 2011. "A relation-algebraic approach to simple games," European Journal of Operational Research, Elsevier, vol. 210(1), pages 68-80, April.
    2. J. M. Alonso-Meijide & M. Álvarez-Mozos & M. G. Fiestras-Janeiro, 2017. "Power Indices and Minimal Winning Coalitions for Simple Games in Partition Function Form," Group Decision and Negotiation, Springer, vol. 26(6), pages 1231-1245, November.
    3. Meinhardt, Holger Ingmar, 2021. "Disentangle the Florentine Families Network by the Pre-Kernel," MPRA Paper 106482, University Library of Munich, Germany.
    4. Alonso-Meijide, J.M. & Casas-Mendez, B. & Holler, M.J. & Lorenzo-Freire, S., 2008. "Computing power indices: Multilinear extensions and new characterizations," European Journal of Operational Research, Elsevier, vol. 188(2), pages 540-554, July.
    5. Kamijo, Yoshio & Kongo, Takumi, 2012. "Whose deletion does not affect your payoff? The difference between the Shapley value, the egalitarian value, the solidarity value, and the Banzhaf value," European Journal of Operational Research, Elsevier, vol. 216(3), pages 638-646.
    6. José María Alonso-Meijide & Mikel Álvarez-Mozos & María Gloria Fiestras-Janeiro, 2015. "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 ," UB School of Economics Working Papers 2015/328, University of Barcelona School of Economics.
    7. Kong, Qianqian & Peters, Hans, 2023. "Power indices for networks, with applications to matching markets," European Journal of Operational Research, Elsevier, vol. 306(1), pages 448-456.
    8. Arnold Cédrick SOH VOUTSA, 2020. "Deegan-Packel & Johnston spatial power indices and characterizations," THEMA Working Papers 2020-16, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
    9. Constandina Koki & Stefanos Leonardos, 2019. "Coalitions and Voting Power in the Greek Parliament of 2012: A Case-Study," Homo Oeconomicus: Journal of Behavioral and Institutional Economics, Springer, vol. 35(4), pages 295-313, April.
    10. Martí Jané Ballarín, 2023. "The essential coalitions index in games with restricted cooperation," UB School of Economics Working Papers 2023/449, University of Barcelona School of Economics.
    11. Courtin, Sébastien, 2022. "Evaluation of decision power in multi-dimensional rules," Mathematical Social Sciences, Elsevier, vol. 115(C), pages 27-36.
    12. Barua, Rana & Chakravarty, Satya R. & Sarkar, Palash, 2009. "Minimal-axiom characterizations of the Coleman and Banzhaf indices of voting power," Mathematical Social Sciences, Elsevier, vol. 58(3), pages 367-375, November.
    13. Joseph Armel Momo Kenfack & Bertrand Tchantcho & Bill Proces Tsague, 2019. "On the ordinal equivalence of the Jonhston, Banzhaf and Shapley–Shubik power indices for voting games with abstention," International Journal of Game Theory, Springer;Game Theory Society, vol. 48(2), pages 647-671, June.

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