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We study cooperative and competitive solutions for a manyto-many generalization of Shapley and Shubik (1972)ís assignment game.
We consider the Core, three other notions of group stability and two alternative deÖnitions of competitive equilibrium. We show that (i) each
group stable set is closely related with the Core of certain games deÖned
using a proper notion of blocking and (ii) each group stable set contains
the set of payo§ vectors associated to the two deÖnitions of competitive
equilibrium. We also show that all six solutions maintain a strictly nested
structure. Moreover, each solution can be identiÖed with a set of matrices of (discriminated) prices which indicate how gains from trade are
distributed among buyers and sellers. In all cases such matrices arise as
solutions of a system of linear inequalities. Hence, all six solutions have
the same properties from a structural and computational point of view.
We consider the Core, three other notions of group stability and two alternative deÖnitions of competitive equilibrium. We show that (i) each
group stable set is closely related with the Core of certain games deÖned
using a proper notion of blocking and (ii) each group stable set contains
the set of payo§ vectors associated to the two deÖnitions of competitive
equilibrium. We also show that all six solutions maintain a strictly nested
structure. Moreover, each solution can be identiÖed with a set of matrices of (discriminated) prices which indicate how gains from trade are
distributed among buyers and sellers. In all cases such matrices arise as
solutions of a system of linear inequalities. Hence, all six solutions have
the same properties from a structural and computational point of view.
| Idioma original | Anglès |
|---|---|
| Estat de la publicació | Publicada - 7 d’oct. 2013 |
Sèrie de publicacions
| Nom | Barcelona GSE Working Paper Series |
|---|---|
| Núm. | 740 |
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Diseño institucional y buenas prácticas de gobierno: teoría, aplicaciones y simulación. INDAGO
Barberà, S. (PI), Ayllon Aragon, G. (Becari/a), Balart Castro, P. (Becari/a), Caramuta ., D. (Becari/a), Filippos , L. (Becari/a), Gjorgjiev, R. (Becari/a), Li , N. (Becari/a), Merlino , L. P. (Becari/a), Ozturk , T. (Becari/a), Bervoets ., S. J. (Investigador/a contractat/da), Beviá Baeza, M. D. C. (Investigador/a contractat/da), Ballester Oyarzun, M. A. (Investigador/a), Brown, D. J. (Investigador/a), Calsamiglia Costa, C. (Investigador/a), Coelho, D. (Investigador/a), Flamand ., S. (Investigador/a), Groenert ., V. (Investigador/a), Haeringer , G. (Investigador/a), Jackson, M. O. (Investigador/a), Massó, J. (Investigador/a), Miralles Asensio, A. (Investigador/a), Mukherjee ., S. (Investigador/a), Neme, A. (Investigador/a), Nicolo, A. (Investigador/a), Nozomu , M. (Investigador/a) & Vila Carnicero, F. J. (Investigador/a)
Ministerio de Educación y Ciencia (MEC)
1/01/09 → 30/07/15
Projecte: Projectes i Ajuts a la Recerca