Format du dépôt |
Fichier |
Type de dépôt |
Article dans une revue |
Résumé |
en
We describe a simple computing technique for the tournament choice problem. It rests upon relational modeling and uses the BDD-based computer system RelView for the evaluation of the relation-algebraic expressions that specify the solutions and for the visualization of the computed results. The Copeland set can immediately be identified using RelView's labeling feature. Relation-algebraic specifications of the Condorcet non-losers, the Schwartz set, the top cycle, the uncovered set, the minimal covering set, the Banks set, and the tournament equilibrium set are delivered. We present an example of a tournament on a small set of alternatives, for which the above choice sets are computed and visualized via RelView. The technique described in this paper is very flexible and especially appropriate for prototyping and experimentation, and as such very instructive for educational purposes. It can easily be applied to other problems of social choice and game theory.
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Titre |
en
Computing tournament solutions using relation algebra and RelView
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Auteur(s)
|
Rudolf Berghammer
1
, Agnieszka Rusinowska
2, 3
, Harrie de Swart
4
1
Institut für Informatik
( 127521 )
- Olshausenstraße 40, 24098 Kiel
- Allemagne
-
Christian-Albrechts-Universität zu Kiel = Christian-Albrechts University of Kiel = Université Christian-Albrechts de Kiel ( 462123 )
2
CES -
Centre d'économie de la Sorbonne
( 15080 )
- Maison des Sciences Économiques - 106-112 Boulevard de l'Hôpital - 75647 Paris Cedex 13
- France
-
Université Paris 1 Panthéon-Sorbonne UMR8174 ( 7550 )
;
-
Centre National de la Recherche Scientifique UMR8174 ( 441569 )
3
PSE -
Paris School of Economics
( 301309 )
- 48 boulevard Jourdan 75014 Paris
- France
-
Université Paris 1 Panthéon-Sorbonne ( 7550 )
;
-
École normale supérieure - Paris ( 59704 )
;
-
Université Paris Sciences et Lettres ( 564132 )
;
-
École des hautes études en sciences sociales ( 99539 )
;
-
École des Ponts ParisTech ( 301545 )
;
-
Centre National de la Recherche Scientifique ( 441569 )
;
-
Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement ( 577435 )
4
Department of Philosophy
( 153633 )
- P.O. Box 1738, 3000 DR Rotterdam, The Netherlands
- Pays-Bas
-
Erasmus University Rotterdam ( 485122 )
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Nom de la revue |
|
Date de production/écriture |
2012
|
Langue du document |
Anglais
|
Vulgarisation |
Non
|
Comité de lecture |
Oui
|
Audience |
Internationale
|
Date de publication |
2013
|
Volume |
226
|
Numéro |
3
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Page/Identifiant |
636-645
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Collaboration/Projet |
-
European Science Foundation EUROCORES Programme - LogICCC
|
Domaine(s) |
-
Sciences de l'Homme et Société/Economies et finances
|
Financement |
-
Ce travail a bénéficié d'une aide de l'Etat gérée par l'Agence Nationale de la Recherche au titre du programme " Investissements d'avenir " portant la référence ANR-10-LABX-93-01. This work was supported by the French National Research Agency, through the program Investissements d'Avenir, ANR-10--LABX-93-01.
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Mots-clés (JEL) |
-
C - Mathematical and Quantitative Methods/C.C6 - Mathematical Methods • Programming Models • Mathematical and Simulation Modeling/C.C6.C63 - Computational Techniques • Simulation Modeling
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C - Mathematical and Quantitative Methods/C.C8 - Data Collection and Data Estimation Methodology • Computer Programs/C.C8.C88 - Other Computer Software
-
D - Microeconomics/D.D7 - Analysis of Collective Decision-Making/D.D7.D71 - Social Choice • Clubs • Committees • Associations
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Mots-clés |
en
Tournament, relational algebra, RelView, Copeland set, Condorcet non-losers, Schwartz set, top cycle, uncovered set, minimal covering set, Banks set, tournament equilibrium set
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DOI |
10.1016/j.ejor.2012.11.025 |