Abstract
Relations between all constitutional and government organs must be moderated and evaluated depending on their way of decision making. Among their attributes one may find the right to veto. It is known already that a priori veto is rather strengthening the position of beholder. The evaluation of a power to make a decision is directly connected with a way of power measuring, i.e. with power index choice. In the paper we consider axiomatic base for such choice of an index of power evaluation.
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References
Alonso-Meijide, J.M., Carreras, F., Fiestras-Janeiro, M.G., Owen, G.: A comparative axiomatic characterization of the Banzhaf-Owen coalitional value. Decision Support Systems 43, 701–712 (2007)
Banzhaf III, J.F.: Weighted voting doesn’t work: a mathematical analysis. Rutgers Law Review 19, 317–343 (1965)
Bertini, C., Freixas, J., Gambarelli, G., Stach, I.: Comparing Power Indices. In: Fragnelli, V., Gambarelli, G. (eds.) Some Open Problems in Applied Cooperative Games - A Special Issue of the International Game Theory Review (forthcoming, 2012)
Chessa, M., Fragnelli, V.: Open problems in veto theory. In: Fragnelli, V., Gambarelli, G. (eds.) Some Open Problems in Applied Cooperative Games - A Special Issue of the International Game Theory Review (forthcoming, 2012)
Dubey, A., Neyman, R.J., Weber, R.J.: Value theory without efficiency. Mathematics of Operations Research 6, 122–128 (1981)
Einy, E., Haimanko, O.: Characterization of the Shapley-Shubik power index without efficiency axiom, Discussion Paper 10-04, Monaster Center for Economic Research, Ben-Gurion University of the Negev (2010)
Hołubiec, J.W., Mercik, J.W.: Inside Voting Procedures, Accedo Verlagsgesellschaft, Munich (1994)
Kitamura, M., Inohara, T.: A characterization of the com-pleteness of blockability relation with respect to unanimity. Applied Mathematics and Computation 197, 715–718 (2008)
Kitamura, M., Inohara, T.: An extended Power Index to Evaluate Coalition Influence Based on Blockability Relations on Simple Games. In: Proceedings of the 2009 IEEE International Conference on Systems, Man and Cybernetics, San Antonio (2009)
Laruelle, A., Valenciano, F.: Shapley-Shubik and Banzhaf indices revisited. IVIE Working Paper V-114-2000 (2002)
Mercik, J.W.: A priori veto power of the president of Poland. Operations Research and Decisions 4, 141–150 (2009)
Mercik, J.: On a Priori Evaluation of Power of Veto. In: Herrera-Viedma, E., GarcÃa-Lapresta, J.L., Kacprzyk, J., Fedrizzi, M., Nurmi, H., Zadrożny, S. (eds.) Consensual Processes. STUDFUZZ, vol. 267, pp. 145–156. Springer, Heidelberg (2011)
Owen, G.: Modification of the Banzhaf-Coleman Index for Games with a Priori Unions. In: Holler, M.J. (ed.) Power, Voting and Voting Power, pp. 232–238. Physica Verlag, Wurzburg-Wien (1982)
Penrose, L.S.: The Elementary Statistics of Majority Voting. Journal of the Royal Statistical Society 109, 53–57 (1946)
Shapley, L.S.: A Value for n-person Games. In: Kuhn, H.W., Tucker, A.W. (eds.) Contributions to the Theory of Games. Annals of Mathematical Studies, vol. 28, pp. 307–317. Princeton University Press (1953)
Shapley, L.S., Shubik, M.: A method of evaluating the distribution of power in a committee system. American Political Science Review 48(3), 787–792 (1954)
Turnovec, F., Mercik, J., Mazurkiewicz, M.: Power indices: Shapley-Shubik or Penrose-Banzhaf? In: Kulikowski, R., Kacprzyk, J., Słowiński, R. (eds.) Operational Research and Systems 2004. Decision Making. Methodological Base and Applications, pp. 121–127. Exit, Warszawa (2004)
Turnovec, F., Mercik, J., Mazurkiewicz, M.: Power indices methodology: decisiveness, pivots and swings. In: Braham, M., Steffen, F. (eds.) Power, Freedom, and Voting. Springer, Heidelberg (2008)
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Mercik, J. (2012). On Axiomatization of Power Index of Veto. In: Nguyen, NT., Hoang, K., JÈ©drzejowicz, P. (eds) Computational Collective Intelligence. Technologies and Applications. ICCCI 2012. Lecture Notes in Computer Science(), vol 7654. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34707-8_20
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DOI: https://doi.org/10.1007/978-3-642-34707-8_20
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