Avoiding unfairness of Owen allocations in linear production processes |
| |
Authors: | Federico Perea,Justo Puerto,Francisco R. Ferná ndez |
| |
Affiliation: | 1. Departamento de Estadística e Investigación Operativa Aplicadas y Calidad, Universitat Politècnica de València, Camino de Vera sn, 46022 Valencia, Spain;2. Instituto de Matemáticas de la Universidad de Sevilla (IMUS), Av. Reina Mercedes sn, 41012 Sevilla, Spain;3. Departamento de Estadística e Investigación Operativa, Universidad de Sevilla, Calle Tarfia sn, 41012 Sevilla, Spain |
| |
Abstract: | This paper deals with cooperation situations in linear production problems in which a set of goods are to be produced from a set of resources so that a certain benefit function is maximized, assuming that resources not used in the production plan have no value by themselves. The Owen set is a well-known solution rule for the class of linear production processes. Despite their stability properties, Owen allocations might give null payoff to players that are necessary for optimal production plans. This paper shows that, in general, the aforementioned drawback cannot be avoided allowing only allocations within the core of the cooperative game associated to the original linear production process, and therefore a new solution set named EOwen is introduced. For any player whose resources are needed in at least one optimal production plan, the EOwen set contains at least one allocation that assigns a strictly positive payoff to such player. |
| |
Keywords: | Cooperative games Linear production games Allocations |
本文献已被 ScienceDirect 等数据库收录! |
|