Strategic sharing of a costly network

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Title: Strategic sharing of a costly network
Authors: Hernández, Penélope | Peris, Josep E. | Silva Reus, José Ángel
Research Group/s: Desarrollo, Métodos Cuantitativos y Teoría Económica (DMCTE)
Center, Department or Service: Universidad de Alicante. Departamento de Fundamentos del Análisis Económico
Keywords: Minimum cost spanning tree | Cost allocation | Transfer structure | Subgame perfect equilibrium | Core
Knowledge Area: Fundamentos del Análisis Económico
Issue Date: Oct-2016
Publisher: Elsevier
Citation: Journal of Mathematical Economics. 2016, 66: 72-82. doi:10.1016/j.jmateco.2016.06.006
Abstract: We study minimum cost spanning tree problems for a set of users connected to a source. Prim’s algorithm provides a way of finding the minimum cost tree mm. This has led to several definitions in the literature, regarding how to distribute the cost. These rules propose different cost allocations, which can be understood as compensations and/or payments between players, with respect to the status quo point: each user pays for the connection she uses to be linked to the source. In this paper we analyze the rationale behind a distribution of the minimum cost by defining an a priori transfer structure. Our first result states the existence of a transfer structure such that no user is willing to choose a different tree from the minimum cost tree. Moreover, given a transfer structure, we implement the above solution as a subgame perfect equilibrium outcome of a game where players decide sequentially with whom to connect. Finally, we obtain that the existence of a transfer structure supporting an allocation characterizes the core of the monotone cooperative game associated with a minimum cost spanning tree problem. This transfer structure is called social transfer structure. Therefore, the minimum cost spanning tree emerges as both a social and individual solution.
Sponsor: Hernández would like to thank MEC Spain (ECO2013-46550-R) for their financial support and she gratefully acknowledges the Generalitat Valenciana (PROMETEO/2009/068). Silva would like to thank the Generalitat Valenciana (PROMETEO/2009/068) and Peris and Silva gratefully acknowledge financial support from Spanish Ministry of Economy and Competitiveness under Project ECO2013-43119-P.
URI: http://hdl.handle.net/10045/63410
ISSN: 0304-4068 (Print) | 1873-1538 (Online)
DOI: 10.1016/j.jmateco.2016.06.006
Language: eng
Type: info:eu-repo/semantics/article
Rights: © 2016 Elsevier B.V.
Peer Review: si
Publisher version: http://dx.doi.org/10.1016/j.jmateco.2016.06.006
Appears in Collections:INV - DMCTE - Artículos de Revistas

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