Resources Flows Asymmetries in Strict Nash Networks with Partner Heterogeneity

Groupe d’Analyse et de Théorie Économique (GATE) Working Paper No. 1108

27 Pages Posted: 7 Mar 2011

See all articles by Pascal Billand

Pascal Billand

Jean Monnet University

Christophe Bravard

Jean Monnet University, Saint-Etienne - CREUSET

Sudipta Sarangi

Virginia Polytechnic Institute & State University

Date Written: March 1, 2011

Abstract

This paper introduces a partner heterogeneity assumption in the one-way flow model of Bala and Goyal (2000, [1]). Our goal consists in the characterization of strict Nash networks with regard to the set of resources obtained by players. We use the notion of condensation network which allows us to divide the population in sets of players who obtain the same resources and we order these sets according to the resources obtained. Accordingly, we can examine the relationship between heterogeneity and asymmetries in networks. We establish that the nature of heterogeneity plays a crucial role on asymmetries observed in equilibrium networks.

Keywords: Nash Networks, One-Way Flow Model, Condensation Networks, Chain, Inf-Semi-Lattice

JEL Classification: C72, D85

Suggested Citation

Billand, Pascal and Bravard, Christophe and Sarangi, Sudipta, Resources Flows Asymmetries in Strict Nash Networks with Partner Heterogeneity (March 1, 2011). Groupe d’Analyse et de Théorie Économique (GATE) Working Paper No. 1108, Available at SSRN: https://ssrn.com/abstract=1780294 or http://dx.doi.org/10.2139/ssrn.1780294

Pascal Billand (Contact Author)

Jean Monnet University ( email )

34, rue Francis Baulier
Saint-Etienne, 42023
France

Christophe Bravard

Jean Monnet University, Saint-Etienne - CREUSET ( email )

34, rue Francis Baulier
Saint-Etienne, 42023
France

Sudipta Sarangi

Virginia Polytechnic Institute & State University ( email )

250 Drillfield Drive
Blacksburg, VA 24061
United States

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