Connectivity and Allocation Rule in a Directed Network
Jeong-Yoo Kim and
Jun Tackseung ()
Additional contact information
Jun Tackseung: Kyung Hee University
The B.E. Journal of Theoretical Economics, 2008, vol. 8, issue 1, 1-21
We introduce a new notion of connectivity, what we call weak connectivity, in a directed network where communication is one-way, and show that weak connectivity is equivalent to the usual concept of connectivity if the outdegree of each node is at most one, referred as the [DC] condition. Based on weak connectivity, we define an allocation rule in a directed network by applying the Shapley value type of consideration. We show that the allocation rule is the unique allocation rule satisfying component efficiency and equal bargaining power under the [DC] condition. If the [DC] condition does not hold, it fails to satisfy component efficiency, but can be shown to be the only allocation rule that satisfies equal bargaining power and quasi-component efficiency which is a weaker property.
References: View references in EconPapers View complete reference list from CitEc
Citations Track citations by RSS feed
Downloads: (external link)
https://www.degruyter.com/view/j/bejte.2008.8.1/be ... .1465.xml?format=INT (text/html)
For access to full text, subscription to the journal or payment for the individual article is required.
This item may be available elsewhere in EconPapers: Search for items with the same title.
Export reference: BibTeX
RIS (EndNote, ProCite, RefMan)
Persistent link: https://EconPapers.repec.org/RePEc:bpj:bejtec:v:8:y:2008:i:1:n:19
Ordering information: This journal article can be ordered from
Access Statistics for this article
The B.E. Journal of Theoretical Economics is currently edited by Burkhard C. Schipper
More articles in The B.E. Journal of Theoretical Economics from De Gruyter
Bibliographic data for series maintained by Peter Golla ().