Economics at your fingertips  

Social enterprise tree network games

Darko Skorin-Kapov ()
Additional contact information
Darko Skorin-Kapov: Adelphi University

Annals of Operations Research, 2018, vol. 268, issue 1, 5-20

Abstract: Abstract We investigate the cost allocation strategy associated with the problem of providing service among network users residing at nodes of a social network. We assume that the social network platform is established in a symmetric complete network. There is a cost associated with each link and the service between any pair of nodes can be delivered via a directed path. The example of a cost efficient solution for such network is a (non-rooted) minimum cost directed spanning tree. The network cost should be distributed among users who might have conflicting interests. The objective of this paper is to formulate the above cost allocation problem as a cooperative game, to be referred to as a Social Enterprise Tree Network (SETN) game, and develop a “fair” and efficient cost allocation scheme. The SETN game is related to the minimum cost spanning tree game. The profound difference is that in the minimum cost spanning tree game the service is delivered from some common source node to the rest of the network, while under the social network platform there is no source and the service is established through the interaction among all participating nodes. The input to our cost allocation problem is the optimal non-rooted directed spanning tree SETN. We formulate several associated SETN games in characteristic function form. Then we construct a couple of efficient cost allocation algorithms that find some points in the core of those SETN games and thus result in subsidy-free cost allocations.

Keywords: Social networks; Cost allocation; Cooperative games; Mathematical programming (search for similar items in EconPapers)
Date: 2018
References: View references in EconPapers View complete reference list from CitEc
Citations: Track citations by RSS feed

Downloads: (external link) Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link:

Ordering information: This journal article can be ordered from

Access Statistics for this article

Annals of Operations Research is currently edited by Endre Boros

More articles in Annals of Operations Research from Springer
Bibliographic data for series maintained by Sonal Shukla ().

Page updated 2019-04-09
Handle: RePEc:spr:annopr:v:268:y:2018:i:1:d:10.1007_s10479-017-2460-0