On the Structure of Cooperative and Competitive Solutions for a Generalized Assignment Game
Joint Authors
Arribillaga, R. Pablo
Massó, Jordi
Neme, Alejandro
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-20, 20 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-30
Country of Publication
Egypt
No. of Pages
20
Main Subjects
Abstract EN
We study cooperative and competitive solutions for a many-to-many generalization of Shapley and Shubik’s (1971) assignment game.
We consider the Core, three other notions of group stability, and two alternative definitions of competitive equilibrium.
We show that (i) each group stable set is closely related to the Core of certain games defined using a proper notion of blocking and (ii) each group stable set contains the set of payoff vectors associated with the two definitions of competitive equilibrium.
We also show that all six solutions maintain a strictly nested structure.
Moreover, each solution can be identified with a set of matrices of (discriminated) prices which indicate how gains from trade are distributed among buyers and sellers.
In all cases such matrices arise as solutions of a system of linear inequalities.
Hence, all six solutions have the same properties from a structural and computational point of view.
American Psychological Association (APA)
Arribillaga, R. Pablo& Massó, Jordi& Neme, Alejandro. 2014. On the Structure of Cooperative and Competitive Solutions for a Generalized Assignment Game. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-20.
https://search.emarefa.net/detail/BIM-453172
Modern Language Association (MLA)
Arribillaga, R. Pablo…[et al.]. On the Structure of Cooperative and Competitive Solutions for a Generalized Assignment Game. Journal of Applied Mathematics No. 2014 (2014), pp.1-20.
https://search.emarefa.net/detail/BIM-453172
American Medical Association (AMA)
Arribillaga, R. Pablo& Massó, Jordi& Neme, Alejandro. On the Structure of Cooperative and Competitive Solutions for a Generalized Assignment Game. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-20.
https://search.emarefa.net/detail/BIM-453172
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-453172