Stable solutions on many-to-one matching models with quota restriction with substitutable preferences for one side of agents

Authors

Abstract

In this paper a variant to the many-to-one matching model is presented, in which two types of complementary agents and an institution intervene. The latter wants to assign agents to perform certain tasks, each (d ,e) ? of which can be done by one agent from one set with many agents from the other. The institution has preferences over the possible matchings and a quota q, which is the maximum number of agents it can hire. In this model, considering substitutable preferences for one of the agent sets, a concept of stability is extended in a natural way and the concept of E q -stability is defined. It is shown, under the institution’s responsive preference constraint, that there is an algorithm by means of which the existence of the set of E q -stable matchings is guaranteed.

Author Biographies

  • Mabel Estela Marí Navarro, National University of San Juan
    Departamento de Matemática. Facultad de Filosofía, Humanidades y Artes
  • Rosa Delfina Femenia, National University of San Juan
    Departamento de Matemática. Facultad de Filosofía, Humanidades y Artes
  • Mabel Estela Mari Navarro, National University of San Juan
    Departamento de Matemática. Facultad de Filosofía, Humanidades y Artes

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Published

2020-12-09

Issue

Vol. 20 No. 2 (2020): Políticas Públicas

Section

Artigos

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