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2014-01

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/104406

Cooperative assignment games with the inverse Monge property

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Abstract

We study inverse-Monge assignment games, namely cooperative assignment games in which the assignment matrix satisfies the inverse-Monge property. For square inverse-Monge assignment games, we describe their cores and we obtain a closed formula for the buyers-optimal and the sellers-optimal core allocations. We also apply the above results to solve the non-square case.

Related resource

https://doi.org/10.1016/j.dam.2013.08.027

Subject

Funcions de variables reals, Assignació de recursos, Matemàtica financera, Teoria de jocs

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Functions of real variables, Resource allocation, Business mathematics, Game theory

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Articles publicats en revistes (Matemàtica Econòmica, Financera i Actuarial)

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MARTÍNEZ DE ALBÉNIZ, F. Javier and RAFELS, Carles. Cooperative assignment games with the inverse Monge property. Discrete Applied Mathematics. 2014. Vol. 162, num. 42-50. ISSN 0166-218X. [consulted: 9 of October of 2026]. Available at: https://hdl.handle.net/2445/104406

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