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Title: | Consistency and the core of multi-sided assignment markets |
Author: | Llerena Garrés, Francesc Núñez, Marina (Núñez Oliva) Rafels, Carles |
Keywords: | Teoria de jocs Presa de decisions (Estadística) Jocs d'estratègia (Matemàtica) Assignació de recursos Matemàtica financera Game theory Statistical decision Games of strategy (Mathematics) Ressource allocation Business mathematics |
Issue Date: | 2013 |
Publisher: | Universitat de Barcelona. Facultat d'Economia i Empresa |
Series/Report no: | [WP E-Eco13/296] |
Abstract: | [cat] En aquest treball es demostra que en el domini dels jocs d’assignació equilibrats multisectorials (Quint, 1991), el core és l’única solució no buida que satisfà derived consistency i projection consistency. També es caracteritza el core en tota la classe dels jocs d’assignació multisectorials amb els axiomes de singleness best, individual antimonotonicity i derived consistency. Com a casos particulars, s’obtenen dues noves axiomàtiques del core per als jocs d’assignació bilaterals (Shapley and Shubik, 1972). [eng] On the domain of balanced multi-sided assignment games (Quint, 1991), the core is characterized as the unique non-empty solution satisfying derived consistency and projection consistency. As a consequence, a new characterization of the core of two-sided assignment games (Shapley and Shubik, 1972) is provided by using simultaneously the aforementioned consistency axioms. We also characterize the core on the whole domain of multi-sided assignment games in terms of singleness best, individual anti-monotonicity and derived consistency. Again, as a particular case we obtain a new axiomatization for the bilateral case without making use of the non-emptiness axiom. |
Note: | Reproducció del document publicat a: http://www.ub.edu/ubeconomics/consistency-and-the-core-of-multi-sided-assignment-markets/ |
It is part of: | Documents de treball (Facultat d'Economia i Empresa. Espai de Recerca en Economia), 2013, E13/296 |
URI: | http://hdl.handle.net/2445/48439 |
ISSN: | 1136-8365 |
Appears in Collections: | Documents de treball (Matemàtica Econòmica, Financera i Actuarial) UB Economics – Working Papers [ERE] |
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E13-296_Llerena.pdf | 173.05 kB | Adobe PDF | View/Open |
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