Directed Communication Networks

CentER Working Paper No. 2000-84

31 Pages Posted: 3 Oct 2000

See all articles by Stef H. Tijs

Stef H. Tijs

Tilburg University - Center For Economic Research; Tilburg University - Department of Econometrics & Operations Research; Università degli Studi di Genova - Dipartimento di Matematica

Robert P. Gilles

Queen's University Management School

Henk Norde

Tilburg University - Center For Economic Research; Tilburg University - Department of Econometrics & Operations Research

Marco Slikker

Eindhoven University of Technology (TUE) - School of Industrial Engineering

Date Written: September 2000

Abstract

In this paper we model the formation of directed communication networks. A directed communication network is represented by a directed graph. Firstly, we study an allocation rule satisfying two appealing properties, component efficiency and directed fairness. We show that such an allocation rule exists if and only if we restrict ourselves to a class of directed graphs that naturally comes to the fore in the setting of hierarchical structures. Subsequently, we discuss several possibilities to model the formation of directed communication networks and provide some preliminary results.

Suggested Citation

Tijs, Stef H. and Gilles, Robert P. and Norde, Henk W. and Slikker, Marco, Directed Communication Networks (September 2000). CentER Working Paper No. 2000-84. Available at SSRN: https://ssrn.com/abstract=244529 or http://dx.doi.org/10.2139/ssrn.244529

Stef H. Tijs (Contact Author)

Tilburg University - Center For Economic Research ( email )

P.O. Box 90153
B925
5000 LE Tilburg
Netherlands
+31 13 466 2348 (Phone)

Tilburg University - Department of Econometrics & Operations Research ( email )

Tilburg, 5000 LE
Netherlands

Università degli Studi di Genova - Dipartimento di Matematica

Via Dodecaneso 35
16146 Genoa
Italy

Robert P. Gilles

Queen's University Management School ( email )

25 University Sq
Belfast, Northern Ireland BT7 1NN
United Kingdom

Henk W. Norde

Tilburg University - Center For Economic Research ( email )

P.O. Box 90153
Tilburg, 5000 LE
Netherlands
+31 13 466 3245 (Phone)

Tilburg University - Department of Econometrics & Operations Research ( email )

Tilburg, 5000 LE
Netherlands

Marco Slikker

Eindhoven University of Technology (TUE) - School of Industrial Engineering ( email )

P.O. Box 513
5600 MB Eindhoven
Netherlands

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