Narzędzia help

Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
first previous next last
cannonical link button

http://yadda.icm.edu.pl:80/baztech/element/bwmeta1.element.baztech-article-BATC-0009-0031

Czasopismo

Control and Cybernetics

Tytuł artykułu

Comparing two ways of measuring the power of party members in simple majority voting games

Autorzy Ekes, M. 
Treść / Zawartość
Warianty tytułu
Języki publikacji EN
Abstrakty
EN We examine two approaches to the problem of measuring the voting power of individuals in a voting body with an a priori coalition structure by means of the Shapley-Shubik index. In order to analyze this question we apply games with a priori unions and composite games. We compare these two approaches basing on voting games with 100 voters and different coalition structures and present our conclusions.
Słowa kluczowe
EN simple majority voting games   games with a priori unions   composite games   Shapley-Shubik index   Owen index  
Wydawca Systems Research Institute, Polish Academy of Sciences
Czasopismo Control and Cybernetics
Rocznik 2011
Tom Vol. 40, no 4
Strony 1189--1208
Opis fizyczny Bibliogr. 20 poz., wykr.
Twórcy
autor Ekes, M.
Bibliografia
Albizuri, M.J. (2001) An Axiomatization of the Modified Banzhaf-Coleman Index. International Journal of Game Theory, 30, 167-176.
Banzhaf, J.F. (1965) Weighted Voting Doesn’t Work: a Mathematical Analysis. Rutgers Law Review, 19, 317-343.
Coleman, J.S. (1964) Introduction to Mathematical Sociology. Free Press of Glencoe, N.Y.
Dubey, P. (1975) On the Uniqueness of the Shapley Value. International Journal of Game Theory, 4, 131-139.
Ekes, M. (2006) Two Types of the Banzhaf – Coleman Index in Games with a priori Unions. Roczniki Kolegium Analiz Ekonomicznych SGH, 15, 31-45.
Felsenthal, D.S. and Machover, M. (1998) The Measurement of Voting Power. Theory and Practice, Problems and Paradoxes. Edward Elgar Publishing, Cheltenham.
Hart, S. and Kurz, M. (1983) On the Endogenous Formation of Coalitions. Econometrica, 51, 1295-1313.
Laruelle, A. and Valenciano, F. (2004) On the Meaning of Owen-Banzhaf Coalitional Value in Voting Situations. Theory and Decision, 56, 113-123.
Leech, D. and Leech, R. (2006) Voting Power and Voting Blocs. Public Choice, 127, 285-303.
Malawski, M. (2004) „Counting” Power Indices forGames witha prioriUnions. Theory and Decisions, 56, 125-140.
Owen, G. (1964) Solutions of Compound Simple Games. Ann. Math. Study 52, M. Dresher, L.S. Shapley and A. W. Tucker, eds., 307-317.
Owen, G. (1977) Values of Games with a priori Unions. In: R. Henn and O. Moschlin, eds., Essays in Honour of Oskar Morgenstern. Springer-Verlag, New York, 76-88.
Owen, G. (1978) Characterization of the Banzhaf-Coleman Index. SIAM Journal of Applied Math., 35, 315-327.
Owen, G. (1981) Modification of the Banzhaf-Coleman Index for Games with a priori Unions. In: M. J. Holler, ed., Power, Voting and Voting Power. Physica-Verlag, Würzburg, 232-238.
Penrose, L.S. (1946) The Elementary Statistics of Majority Voting. Journal of the Royal Statistical Society, 109, 53-57.
Shapley, L.S. (1953) A Value for n-Person Games. In: H. W. Kuhn and A. W. Tucker, eds., Contributions to the Theory of Games II (Annals of Mathematics Studies 28). Princeton University Press, 307-317.
Shapley, L.S. and Shubik, M. (1954) A Method for Evaluating the Distributions of Power in a Committee System. American Political Science Review, 48, 787-792.
Shapley, L.S. and Milnor, J.W. (1978) Values of Large Games II: Oceanic Games. Mathematics of Operations Research, 3, 290-307.
Sosnowska, H. (2003) Jak różnią się indeksy siły? (How do the power indices differ?, in Polish). Opere et Studio pro Oeconomia 1, Wyższa Szkoła Handlu i Finansów Międzynarodowych, Warszawa, 93-103.
Young, H.P. (1985) Monotonic Solutions of Cooperative Games. International Journal of Game Theory 14, 65-72.
Kolekcja BazTech
Identyfikator YADDA bwmeta1.element.baztech-article-BATC-0009-0031
Identyfikatory