On the exhaustiveness of truncation and dropping strategies in many-to-many matching markets

We consider two–sided many–to–many matching markets in which each worker may work for multiple firms and each firm may hire multiple workers. We study individual and group manipulations in centralized markets that employ (pairwise) stable mechanisms and that require participants to submit rank order lists of agents on the other side of the market. We are interested in simple preference manipulations that have been reported and studied in empirical and theoretical work: truncation strategies, which are the lists obtained by removing a tail of least preferred partners from a preference list, and the more general dropping strategies, which are the lists obtained by only removing partners from a preference list (i.e., no reshuffling). We study when truncation / dropping strategies are exhaustive for a group of agents on the same side of the market, i.e., when each match resulting from preference manipulations can be replicated or improved upon by some truncation / dropping strategies. We prove that for each stable mechanism, truncation strategies are exhaustive for each agent with quota 1 (Theorem 1). We show that this result cannot be extended neither to group manipulations (even when all quotas equal 1 – Example 1), nor to individual manipulations when the agent’s quota is larger than 1 (even when all other agents’ quotas equal 1 – Example 2). Finally, we prove that for each stable mechanism, dropping strategies are exhaustive for each group of agents on the same side of the market (Theorem 2), i.e., independently of the quotas.

Análisis del constructo reflexividad-impulsividad : del Matching Familiar Figures Test (MFFT) al MFFT20.

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Las becas y ayudas al estudio como elemento determinante de la continuidad escolar en el nivel secundario post-obligatorio : un análisis de sensibilidad a partir de la aplicación del Propensity Score Matching.

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Sorting and matching.

Proporciona oportunidades para que los niños puedan practicar la clasificación y utilicen estas habilidades con una serie de objetos cotidianos, para desarrollar sus facultades de razonamiento y lógica. Las actividades animan a los niños a aprender a clasificar los elementos utilizando sus propios criterios y para investigar el uso dado a otros criterios como el color y tamaño utilizando sus diferentes sentidos.