Choosing from a Weighted Tournament
AbstractA voting situation, in which voters are asked to rank all candidates pair by pair, induces a tournament and a weighted tournament, in which the strenght of the majority matters. Each of these two tournaments induces in turn a two-player zero-sum game for which different solution concepts can be found in the literature. Four social choice correspondences for voting situations based exclusively on the simple majority relation, and called C1, correspond to four different solution concepts for the game induced by the corresponding tournament. They are top cycle, the uncovered set, the minimal covering set, and the bipartisan set. Taking the same solution concepts for the game induced by the corresponding wheighted tournament instead of the tournament and working backward from these solution concepts to the solutions for the corresponding weighted tournament and then to the voting situation, we obtain the C2 counterparts of these correspondences, i.e. correspondences that require the size of the majorities to operate. We also perform a set-theorical comparison between the four C1 correspondences, their four C2 couterparts and three other C2 correspondences, namely the Kemeny, the Kramer-Simpson, and the Borda rules. Given two subsets selected by two correspondences, we say whether it always belongs to, always intersects or may not intersect the other one. Un vote Ã la majoritÃ© oÃ¹ les candidats sont comparÃ©s deux Ã deux induit un tournoi basÃ© sur la relation majoritaire et un tournoi pondÃ©rÃ©, oÃ¹ la taille de la majoritÃ© compte. Chacun de ces tournois induit Ã son tour un jeu Ã somme nulle pour lesquels on dispose de diffÃ©rents concepts de solution. Quatre correspondances de choix social applicables Ã la relation majoritaire, dites de type C1, correspondent Ã quatre concepts de solution diffÃ©rents pour le jeu induit par le tournoi correspondant. Ce sont le top cycle, le uncovered set, le minimal covering set et le bipartisan set. En utilisant les mÃªmes con
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Bibliographic InfoPaper provided by University of Toulouse 1 Capitole in its series Open Access publications from University of Toulouse 1 Capitole with number http://neeo.univ-tlse1.fr/711/.
Date of creation: 2000
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Publication status: Published in Mathematical Social Sciences (2000) v.40, p.85-109
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- Philippe De Donder & Jean Hindriks, 2000.
"The Politics of Progressive Income Taxation with Incentive Effects,"
416, Queen Mary, University of London, School of Economics and Finance.
- De Donder, Philippe & Hindriks, Jean, 2003. "The politics of progressive income taxation with incentive effects," Journal of Public Economics, Elsevier, vol. 87(11), pages 2491-2505, October.
- De Donder, Philippe & Hindriks, Jean, 2003. "The Politics of Progressive Income Taxation with Incentive Effects," Open Access publications from University of Toulouse 1 Capitole http://neeo.univ-tlse1.fr, University of Toulouse 1 Capitole.
- De Donner, P. & Hindriks, J., 2000. "The Politics of Progressive Income Taxation with Incentive Effects," Papers 00-542, Toulouse - GREMAQ.
- M. Martin & V. Merlin, 2000. "Stability Set as Social Choice Correspondence," THEMA Working Papers 2000-44, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
- Martin, Mathieu & Merlin, Vincent, 2002. "The stability set as a social choice correspondence," Mathematical Social Sciences, Elsevier, vol. 44(1), pages 91-113, September.
- Laslier, Jean-Francois & Picard, Nathalie, 2002. "Distributive Politics and Electoral Competition," Journal of Economic Theory, Elsevier, vol. 103(1), pages 106-130, March.
- Jean Hindriks, 2000.
"Is There a Demand for Income Tax Progressivity?,"
415, Queen Mary, University of London, School of Economics and Finance.
- LASLIER, Jean-François & PICARD, Nathalie, 2000. "Distributive politics: does electoral competition promote inequality ?," CORE Discussion Papers 2000022, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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