Title:
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Consistency and the core of multi-sided assignment markets
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Author:
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Llerena Garrés, Francesc; Núñez, Marina (Núñez Oliva); Rafels, Carles
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Other authors:
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Universitat de Barcelona |
Abstract:
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[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). |
Abstract:
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[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. |
Subject(s):
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-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 |
Rights:
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cc-by-nc-nd, (c) Llerena Garrés, 2013
http://creativecommons.org/licenses/by-nc-nd/3.0/ |
Document type:
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Working Paper |
Published by:
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Universitat de Barcelona. Facultat d'Economia i Empresa
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