A glove-market partitioned matrix related to the assignment game
To any assignment market we associate the unique exact assignment game defined on the same set of agents and with a core that is a translation of the core of the initial market. As it happens with the core, the kernel and the nucleolus of an assignment game are proved to be the translation of the kernel and the nucleolus of its related exact assignment game by the vector of minimum core payoffs. Agents on each side of the market are classified by means of an equivalence relation and, when agents on the same class are ordered to be consecutive, the related exact assignment market is defined by a partitioned matrix, each block of the partition being a glove market.
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- Josep M. Izquierdo & Marina Núñez & Carles Rafels, 2006.
"A Simple Procedure to Obtain the Extreme Core Allocations of an Assignment Market,"
275, Barcelona Graduate School of Economics.
- Josep Izquierdo & Marina Núñez & Carles Rafels, 2007. "A simple procedure to obtain the extreme core allocations of an assignment market," International Journal of Game Theory, Springer;Game Theory Society, vol. 36(1), pages 17-26, September.
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- Marina Nunez Oliva & Carlos Rafels Pallarola, 2006.
"On the dimension of the core of the assignment game,"
Working Papers in Economics
167, Universitat de Barcelona. Espai de Recerca en Economia.
- Núñez, Marina & Rafels, Carles, 2008. "On the dimension of the core of the assignment game," Games and Economic Behavior, Elsevier, vol. 64(1), pages 290-302, September.
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- Marina Núñez & Carles Rafels, 2005. "The Böhm–Bawerk horse market: a cooperative analysis," International Journal of Game Theory, Springer;Game Theory Society, vol. 33(3), pages 421-430, 09.
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