| HAL : hal-00349642, version 1 |
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| Cycles of cooperation and free-riding in social systems |
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| Yiping Ma 1Sebastian Gonçalves 1, 2 |
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| (02/01/2009) |
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| Basic evidences on non-profit making and other forms of benevolent-based organizations reveal a rough partition of members between somepure consumers of the public good (free-riders) and benevolent individuals (cooperators). We study the relationship between the community size and the level of cooperation in a simple model where the utility of joining the community is proportional to its size. We assume an idiosyncratic willingness to join the community ; cooperation bears a fixed cost while free-riding bears a (moral) idiosyncratic cost proportional to the fraction of cooperators. We show that the system presents two types of equilibria: fixed points (Nash equilibria) with a mixture of cooperators and free-riders and cycles where the size of the community, as well as the proportion of cooperators and free-riders, vary periodically. |
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| 1 : | Techniques de l'Ingénierie Médicale et de la Complexité (TIMC) |
| CNRS : UMR5525 – Université Joseph Fourier - Grenoble I | |
| 2 : | Instituto de Fisica, UFRGS |
| Universidade Federal do Rio Grande do Sul | |
| 3 : | Laboratoire de Physique Statistique de l'ENS (LPS) |
| CNRS : UMR8550 – Université Pierre et Marie Curie [UPMC] - Paris VI – Université Paris VII - Paris Diderot – Ecole normale supérieure de Paris - ENS Paris | |
| 4 : | Centre d'analyse et de mathématique sociale (CAMS) |
| CNRS : UMR8557 – École des Hautes Études en Sciences Sociales [EHESS] | |
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| Domaine | : | Informatique/Modélisation et simulation Sciences de l'Homme et Société/Economies et finances Physique/Physique/Physique et Société |
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| Liste des fichiers attachés à ce document : | |||||
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| hal-00349642, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00349642 | |
| oai:hal.archives-ouvertes.fr:hal-00349642 | |
| Contributeur : Mirta Gordon | |
| Soumis le : Samedi 3 Janvier 2009, 11:14:05 | |
| Dernière modification le : Jeudi 16 Juillet 2009, 18:04:15 | |